loading......

coming soon

Coming Soon

We are in process of building the inventory of good professionals in this category

Got it!

Where do you need ?

location

Please select a Location.

Ask a Mathematics(Class XI-XII Tuition (PUC)) Question

Get your questions answered by Mathematics(Class XI-XII Tuition (PUC)) Professionals.

+ Follow 99 Followers

Top Contributors

Sarvajeet

202 Answers

Prasanth Kumar

103 Answers

Kavitha

89 Answers

Ankit

75 Answers

Tapas

64 Answers

Shikha

63 Answers

K R K Karthikeyan

61 Answers

Ranganath

56 Answers

Srinivas

51 Answers

Thousands of experts Tutors, Trainers & other Professionals are available to answer your questions

Showing 26 to 50 of 561
Sort By: 
M

Meenakshi 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Parabola

What is the standard equation of normal?

0 0 3

Show previous answers

Rachna replied | 18/11/2016

y-y1= - dx/dy (x-x1)

0 0

Eti replied | 18/11/2016

Equation of normal of any curve at point (x1,y1) is (x-x1)+(dy/dx)(x1,y1)(y-y1)=0

0 0

Answer

You can add upto 6 Images

D

Deepashri 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Parabola

What do you mean by polar with respect to parabola?

0 0 3

Show previous answers

Soujanya replied | 07/12/2016

The polar p of a point A(x0, y0), exterior to the parabola y2 = 2px, is the secant through the contact points of the tangents drawn from the point A to the parabola.

0 0

Mayank replied | 07/12/2016

Polar with respect to parabola is the point on the parabola where the graph happens to intersect any axes (depends upon the equation of parabola). If it is symmetric about the y-axis then put y=0 and find x. Polar=(x, 0).

0 0

Answer

You can add upto 6 Images

A

Ambar 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Parabola

What are the properties of tangents?

0 0 3

Show previous answers

Nagesh replied | 25/11/2016

First derivative of the equation of the curve can give you slope of the tangent at that point.

0 0

Sarvajeet replied | 26/11/2016

For Parabola, square of y = 4ax,
The equation of tangent, y=mx+(a/m), m=gradient, the tangent always touches at one point of the parabola.

0 0

Answer

You can add upto 6 Images

N

Nazia 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Ellipse

What do you mean by ellipse?

0 0 4

Show previous answers

G

Guddu replied | 22/11/2016

Locus of a point such that whose sum of distances from two fixed point is constant.

0 0

Sarvajeet replied | 03/12/2016

(square of (x/a) ) +(square of (y/b) )=1 and a>b
and eccentricity e <1.
It must contain 1 major axes, 1 minor axes.

0 0

Answer

You can add upto 6 Images

S

Saddam 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Ellipse

What are the properties of ellipse?

0 0 4

Show previous answers

Rohit replied | 13/12/2016

Properties 1. Tangents drawn from a common point, outside the curve are equally inclined to the focal points.
Properties 2. A circle containing the foci and a point p on the curve will intersect the minor axis at the points of intersection of the tangent and the normal to the curve from point.

0 0

Rahul replied | 13/12/2016

Property 1:
Tangents drawn from a common point, outside the curve are equally inclined to the focal points.



PROPERTY 2

A circle containing the foci and a point p on the curve will intersect the minor axis at the points of intersection of the tangent and the normal to the curve from point p.





PROPERTY 3

The length...  more»
Property 1:
Tangents drawn from a common point, outside the curve are equally inclined to the focal points.



PROPERTY 2

A circle containing the foci and a point p on the curve will intersect the minor axis at the points of intersection of the tangent and the normal to the curve from point p.





PROPERTY 3

The length of the minor axis of an ellipse can be found by constructing a line perpendicular to the axis from the focal points, where this line intersects the auxiliary circle will give the length of the minor axis.









PROPERTY 4

Conjugate Diameters





Any diameter of the ellipse, as shown here, may be referred to as a conjugate diameter. This example shows the short conjugate diameter, the long conjugate diameter would pass through the centre and be parallel to a tangent to the curve at r and s.









Constructing the Ellipse given the Conjugate Diameter

PROCEDURE

1. Construct the conjugate diameters TU (long) and RS (short).

2. Take a line from R perpendicular to TU of length CU to find point D.

3. Join D to C.

4. Construct a circle of diameter DC.

5. Take a line from R through the centre of the circle and project it on to meet the circle at G.

6. A line from G through C will give the direction of the minor axis.

7. RE = 1/2 the minor axis.

8. A line from E through C will give the direction of the major axis.

9. RG = 1/2 the major axis.

10. You now have the major and minor axis and can construct the curve.

NOTE: The curve passes through points R, S, T and U.








PROPERTY 1

Tangents drawn from a common point, outside the curve are equally inclined to the focal points.




PROPERTY 2

A circle containing the foci and a point p on the curve will intersect the minor axis at the points of intersection of the tangent and the normal to the curve from point p.





PROPERTY 3

The length of the minor axis of an ellipse can be found by constructing a line perpendicular to the axis from the focal points, where this line intersects the auxiliary circle will give the length of the minor axis.









PROPERTY 4

Conjugate Diameters





Any diameter of the ellipse, as shown here, may be referred to as a conjugate diameter. This example shows the short conjugate diameter, the long conjugate diameter would pass through the centre and be parallel to a tangent to the curve at r and s.









Constructing the Ellipse given the Conjugate Diameter

PROCEDURE

1. Construct the conjugate diameters TU (long) and RS (short).

2. Take a line from R perpendicular to TU of length CU to find point D.

3. Join D to C.

4. Construct a circle of diameter DC.

5. Take a line from R through the centre of the circle and project it on to meet the circle at G.

6. A line from G through C will give the direction of the minor axis.

7. RE = 1/2 the minor axis.

8. A line from E through C will give the direction of the major axis.

9. RG = 1/2 the major axis.

10. You now have the major and minor axis and can construct the curve.

NOTE: The curve passes through points R, S, T and U. «less

0 0

Answer

You can add upto 6 Images

A

Aditya 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Ellipse

What are the special cases of ellipse?

0 0 3

Show previous answers

Pankaj replied | 13/12/2016

If you put a=b then equation of ellipse reduces to x^2+y^2=a^2 and it becomes circle that is the special case of ellipse.

0 0

Rajneesh replied | 13/12/2016

When a=b it must be a circle.

0 0

Answer

You can add upto 6 Images

S

Swarnalakshmi 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Ellipse

What is the equation of horizontal ellipse?

0 0 3

Show previous answers

Pro replied | 21/11/2016

Hi Swarna, any ellipse is horizontal (elongated along x-axis) if its semi-major axis is greater than semi-minor axis (a>b) in canonical equation of ellipse i.e. x2/a2 + y2/b2 = 1, if b>a then it looks vertically elongated and a=b it is circle. You can try some experiments with ellipse here http://www.desmos.com/calculator...  more»
Hi Swarna, any ellipse is horizontal (elongated along x-axis) if its semi-major axis is greater than semi-minor axis (a>b) in canonical equation of ellipse i.e. x2/a2 + y2/b2 = 1, if b>a then it looks vertically elongated and a=b it is circle. You can try some experiments with ellipse here http://www.desmos.com/calculator «less

0 0

Eti replied | 21/11/2016

(x^2)/(a^2)+(y^2)/(b^2)=1,where a>b

0 0

Answer

You can add upto 6 Images

A

Ajay 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Ellipse

Define vertical ellipse?

0 0 3

Show previous answers

Sarvajeet replied | 26/11/2016

(square of (x/a) ) +(square of (y/b) )=1 and a

0 0
S

Srinivas replied | 28/11/2016

In it the major axis is y-axis its length is 2b and minor axis is x-axis its length is 2a.

0 0

Answer

You can add upto 6 Images

M

Medha 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Ellipse

What do you mean by eccentric angle of a point?

0 0 3

Show previous answers

Prateek replied | 19/11/2016

Is equal to tan[inverse (a*y / b*x)].

0 0

Sagar replied | 21/11/2016

The eccentric angle of a point on an ellipse with semi major axes of length a and semi minor axes of length b is the angle t in the parametrization.
x = acost
(1)
y = bsint,
(2)
i.e., for a point (x,y),
t=tan^(-1)((ay)/(bx)).

0 0

Answer

You can add upto 6 Images

J

Jitender 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Ellipse

Find the length of major and minor axes of the given equation: 4(square of x) + 9(square of y) = 36?

0 0 3

Show previous answers

Sri Veera Bhadraswamy replied | 10/12/2016

6,4 are the lengths of major and minor axes.

0 0
P

Parveen replied | 12/12/2016

(Major axis)^2=9 so major axis is 3 and (minor axis)^2=4. So, min axis is 2.

0 0

Answer

You can add upto 6 Images

S

Sumit 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Define hyperbola?

0 0 3

Show previous answers

S

Srinivas replied | 28/11/2016

SIMPLY SAY THAT IN ANY CONIC SECTION ECCENTRICITY e>1

0 0

Sarvajeet replied | 03/12/2016

(square of (x/a) ) - (square of (y/b) )=1
and eccentricity e >1.

0 0

Answer

You can add upto 6 Images

B

Bala 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the difference between transverse axes and conjugate axes?

0 0 3

Show previous answers

Sarvajeet replied | 03/12/2016

In hyperbola, (square of (x/a) ) - (square of (y/b) )=1
and eccentricity e >1.
Transverse axes y=0 i.e., x axes.
Conjugate axes x=0 i.e., y axes.

0 0

Sarvajeet replied | 03/12/2016

In hyperbola, (square of (x/a) ) - (square of (y/b) )=1
and eccentricity e >1;
Transverse axes y=0 i.e., x axes
Conjugate axes x=0 i.e., y axes.

0 0

Answer

You can add upto 6 Images

S

Shishir 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Define conjugate formula?

0 0 3

Show previous answers

Lakshmi replied | 24/11/2016

A conjugate is a binomial formed by negating the second term of a binomial. The conjugate of x + y is x ? y, where x and y are real numbers.
If y is imaginary, the process is termed complex conjugation: the complex conjugate of a + bi is a ? bi, where a and b are real.

0 0

Sarvajeet replied | 03/12/2016

Two hyperbolas such that the transverse axis of each is the conjugate axis of the other.
For example (square of (x/a) ) - (square of (y/b) )=1 and (square of (x/b) ) - (square of (y/a) )=1.

0 0

Answer

You can add upto 6 Images

N

Nayan 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Define focal distance of a point?

0 0 3

Show previous answers

V

Vinayak Educational Institute replied | 02/12/2016

Focal length is the distance between the center of a convex lens or a concave mirror and the focal point of the lens or mirror the point where parallel rays of light meet, or converge.

0 0

Arvind Kumar replied | 02/12/2016

The distance of any point on the Hyperbola from the focus is called its focal diistance.

0 0

Answer

You can add upto 6 Images

N

Name 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the equation of hyperbola if the center is (h, k) and the directions of the axes are parallel to the coordinate axes?

0 0 3

Show previous answers

Rama Krishna replied | 09/12/2016

The Equation of Hyperbola is When the center is (h, k) and Whose Transverse and Conjugate axes are 2a and 2b is { Square of (x-h) / Square of (a) } - { Square of (y-k)/ Square of (b) } = 1.

0 0

Piyush Raj replied | 14/12/2016

(x-h)^2 /a^2 - (y-k)^2/b^2 =1
it is called rectangular hyperbola where a=b so the final equation will be x^2 -y^2 = a^2.

0 0

Answer

You can add upto 6 Images

S

Sample 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the normal equation of hyperbola?

0 0 3

Show previous answers

Dilip replied | 06/12/2016

X^2/a^2 - y^2/b^2=1.

0 0

Ravi replied | 14/12/2016

X^2/A^2-Y^2/B^2=1, where a and b can be any number.

0 0

Answer

You can add upto 6 Images

K

Kumar 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What are the properties of hyperbola?

0 0 3

Show previous answers

Siva Naga Raju replied | 22/11/2016

Hyperbola is an open ended conic section i.e., the curve continues indefinitely to infinity.
General equation of a Hyperbola: [square of (x/a) - square of (y/b) = constant].

0 0
A

Anjali replied | 23/11/2016

The asymptotes of a hyperbola lie on the points of intersection of circle containing the foci and tangents from the vertices.
The directrix lies on the point of intersection of the auxiliary circle and the asymptotes.

0 0

Answer

You can add upto 6 Images

H

Hemlatakarla 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is conjugate lines?

0 0 4

Show previous answers

Ankit replied | 09/12/2016

Definition of conjugate lines. 1 of a conic section : two lines each of which passes through the pole of the other. 2 of a quadric : two lines so arranged that each intersects the polar line of the other.

0 0

Dilip replied | 11/12/2016

Two lines each of which passes through the pole of the other.

0 0

Answer

You can add upto 6 Images

M

Mohit 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Define conjugate diameter?

0 0 4

Show previous answers

Vidyadhan replied | 13/12/2016

In geometry, two diameters of a conic section are said to be conjugate if each chord parallel to one diameter is bisected by the other diameter. For example, two diameters of a circle are conjugate if and only if they are perpendicular.

0 0

Abhilash replied | 14/12/2016

Diameters of a hyperbola are conjugate when each bisects all chords parallel to the other. In this case both the hyperbola and its conjugate are sources for the chords and diameters.

0 0

Answer

You can add upto 6 Images

Y

Yash 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What do you mean by rectangular hyperbola?

0 0 3

Show previous answers

Sarvajeet replied | 03/12/2016

square of x - square of y= square of a.

0 0

Sri Veera Bhadraswamy replied | 10/12/2016

xy=c^2 is a rectangular hyperbola.

0 0

Answer

You can add upto 6 Images

B

Balakrishnasingh 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the director circle of hyperbola?

0 0 4

Show previous answers

Dilip replied | 06/12/2016

Is a circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other.

0 0

Nirmal Bhasu replied | 06/12/2016

The locus of point of intersection of perpendicular tangents to the hyperbola is a circle concentric with hyperbola and it is called as director circle. The equation of director circle of hyperbola x^2/a^2 -y^2/b^2 =1 is x^2+y^2=a^2-b^2.

0 0

Answer

You can add upto 6 Images

S

Sounak 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Parabola

What is the equation of parabola if the focus (-a, 0) and the directrix is x = a?

0 0

Sarvajeet replied | 02/12/2016

Square of y = -4ax.

0 0

Ankit replied | 09/12/2016

Square of y = -4ax.

0 0

Answer

You can add upto 6 Images

A

Abdul 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Parabola

What is the equation of parabola along y- axis if the focus of the parabola on its positive side and the directrix y = -a?

0 0

D Chandra replied | 30/11/2016

x^2= 4ay.

0 0

Sarvajeet replied | 02/12/2016

Square of x = 4ay.

0 0

Answer

You can add upto 6 Images

S

Sanjay 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Parabola

What is the equation of parabola if focus (0, -a) and directrix y = a?

0 0

Ajay replied | 23/11/2016

Its square of x = - 4 ay. From the given data, square of x + square of (y+a) i.e., distance of any point on parabola from focus = distance of pt. from directrix i.e. square of (y-a). On solving it, you get the given result.

0 0

Sarvajeet replied | 24/11/2016

Square of x = -4*a*y.

0 0

Answer

You can add upto 6 Images

V

Vishal 14/11/2016 in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Parabola

What is latus rectum?

0 0

Sarvajeet replied | 26/11/2016

In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum.
For example, in parabola: square of y = 4ax, the equation of the latus ractum y=a and its length = 4a;
in ellipse: square of (x/a) + square of (y/b)=1, a>b, the equation of the latus ractum y=ae, -ae and its length = 2(square...  more»
In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum.
For example, in parabola: square of y = 4ax, the equation of the latus ractum y=a and its length = 4a;
in ellipse: square of (x/a) + square of (y/b)=1, a>b, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a;
in hyperbola: square of (x/a) - square of (y/b)=1, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a; «less

0 0

Ankit replied | 09/12/2016

In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum.
For example, in parabola: square of y = 4ax, the equation of the latus ractum y=a and its length = 4a;
in ellipse: square of (x/a) + square of (y/b)=1, a>b, the equation of the latus ractum y=ae, -ae and its length = 2(square...  more»
In any conics (i.e., parabola or ellipse or hyperbola ), a line passing through its focus and parallel to its directrix is called the latus rectum.
For example, in parabola: square of y = 4ax, the equation of the latus ractum y=a and its length = 4a;
in ellipse: square of (x/a) + square of (y/b)=1, a>b, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a;
in hyperbola: square of (x/a) - square of (y/b)=1, the equation of the latus ractum y=ae, -ae and its length = 2(square of b)/a; «less

0 0

Answer

You can add upto 6 Images

Previous12345678910..23Next

Find Best Class XI-XII Tuition (PUC) ?

Find Now »