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Dr. Basant replied | 3 days ago

Yes, always remember if someone is good at something they never do it for free.

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Nayanjain replied | 3 days ago

Yes.

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Bhagwat 28 Jan in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC))

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T Venkatesan replied | 03 Mar

Matrix is a rectangular array of numbers or symbols or expressions are arranged in rows and columns.

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Nazneen replied | 15 Mar

Matrix is a rectangular array of numbers or symbols or expressions when arranged in rows and columns.

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Sravya 04 Jan in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), B Ed Tuition

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Sharmila replied | 27 Jan

When you kick a soccer ball (or shoot an arrow, fire a missile or throw a stone) it arcs up into the air and comes down again.
... following the path of a parabola!
A parabola is a curve where any point is at an equal distance from:
a fixed point (the focus), and
a fixed straight line (the directrix).
Here are the important names used in parabola:
the directrix...  more»
When you kick a soccer ball (or shoot an arrow, fire a missile or throw a stone) it arcs up into the air and comes down again.
... following the path of a parabola!
A parabola is a curve where any point is at an equal distance from:
a fixed point (the focus), and
a fixed straight line (the directrix).
Here are the important names used in parabola:
the directrix and focus (explained above)
the axis of symmetry (goes through the focus, at right angles to the directrix)
the vertex (where the parabola makes its sharpest turn) is halfway between the focus and directrix. «less

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Athira S Nair replied | 28 Jan

A parabola is a two dimensional mirror symmetrical curve which is approximately you shaped.

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B

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

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Pritesh replied | 26/11/2016

Form forms of Standard Parabola are follows:
y^2=4ax ;
y^2=-4ax ;
x^2=4ay ;
x^2=-4ay

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Rama Krishna replied | 09/12/2016

Square of ( x-h) = { 4p * ( y-k) }.

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N

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

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Mohit replied | 13/12/2016

When a point moves in a plane according to some given conditions the path along which it moves is called a locus.

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Sunil replied | 13/12/2016

There is nothing called as a locus of a point because locus itself is set of points which satisfy certain condition. It can be visualized as curve. For example, locus of all points that has a fixed distance from fixed point(centre) is called a circle. Finding Locus based problems are important in JEE exams they should be solved thoroughly. Also there are sufficient video lectures...  more»
There is nothing called as a locus of a point because locus itself is set of points which satisfy certain condition. It can be visualized as curve. For example, locus of all points that has a fixed distance from fixed point(centre) is called a circle. Finding Locus based problems are important in JEE exams they should be solved thoroughly. Also there are sufficient video lectures on YouTube so go ahead and improve your understanding. If any doubt ask here. «less

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K

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Lohith replied | 07/12/2016

Use this standard form of equation x2 (x square )/a2 (a square) - y2 (y square)/b2 (b square) = 1.

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Prabha replied | 11/12/2016

If you take standard hyperbola as:
X^2/a^2- y^2/b^2 =1 the consider x^2/a^2 - y^2/b^2 = 0
Which gives (x/a - y/b) (x/a+y/b) = 0
Solve it to get separate equations.

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D

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

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Vijay replied | 23/11/2016

x2 – y2 = a2.

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Sarvajeet replied | 03/12/2016

Square of x - Square of y = Square of a.

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P

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

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Prateek replied | 19/11/2016

It is a line such that the distance between the curve and the line approaches zero as they tend to infinity

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Anurag replied | 20/11/2016

Those equation whose point of intersection meet at infinite.

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

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Medha replied | 21/11/2016

The Standard equation of Ellipse

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Sarvajeet replied | 03/12/2016

The special form of an ellipse: square of (x/a)+square of (y/b)=1, a>b;
The major axis is (2a) on x-axis and minor axis (2b) y-axis and the eccentricity e<1.

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Ajay replied | 23/11/2016

The direction of ellipse is based on its transverse axis. If its along x axis, its horizontal ellipse and if the axis is along y axis, its vertical ellipse.

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Sarvajeet replied | 03/12/2016

In horizontal ellipse: square of (x/a)+square of (y/b)=1, a>b;
and in vertical ellipse: square of (x/a)+square of (y/b)=1, a

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R

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

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Rajesh replied | 09/12/2016

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

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Ankit replied | 09/12/2016

In geometry, the director circle of an ellipse or hyperbola (also called the orthoptic circle or Fermat–Apollonius circle) is a circle consisting of all points where two perpendicular tangent lines to the ellipse cross each other.

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K

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

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Sarvajeet replied | 02/12/2016

In an ellipse square of (x/a)+square of (y/b)=1, a>b;
The major axis is (2a) and minor axis (2b).

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Sanjeev replied | 03/12/2016

No, doubt ellipse being elliptical in shape has two diameters, center being the origin of the axes in which longest and shortest diameters are aligned.

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

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Sarvajeet replied | 03/12/2016

m= the slope of the tangent= dy/dx
Tangent A: y= mx + square root( square of (am) + square of b), where m=the slope of the tangent=dy/dx
or at (x1, y1), xx1/square of a + yy1/square of b=1.

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

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B

Bhaskar replied | 21/11/2016

y=mx±?(a2m2?b2) where mm refers to the slope of a tangent line.

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Sarvajeet replied | 03/12/2016

Tangent A: y= mx + square root( square of (am) - square of b), where m=the slope of the tangent=dy/dx.
or at (x1, y1), xx1/square of a - yy1/square of b=1.

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N

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

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Sanjeev replied | 04/12/2016

Differential of y/ differential of x.

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Manikandan replied | 08/12/2016

For the curve y=f(x) slope of tangent is dy/dx.

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G

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

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Nirmal Bhasu replied | 06/12/2016

The chord which passes through focus is called focal chord.

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Sri Veera Bhadraswamy replied | 10/12/2016

The line which passes through the focus is called focal chord.

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

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Rajesh replied | 09/12/2016

X Square Divided by A square + Y Square Divided by B square = 1.

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Ankit replied | 09/12/2016

Same as horizontal ellipse but here, B>A.

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P

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Ajay replied | 23/11/2016

It means (square of x)/4 + ( square of y)/9 = 1. Hence, x intercept is 2 and y intercept is 3.

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First replied | 23/11/2016

9(square of x) + 4(square of y) = 36 can be written as:
(square of x)/(square of 2) + (square of y)/( square of 3) = 1
which is the equation of an ellipse.
So, its x intercepts are : (2,0) ; (-2,0).
And its y intercepts are : (3,0) ; (-3,0).

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

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S

Srinivas replied | 26/11/2016

Eccentricity is define as the ratio of the distance of any point on a conic section from a focus to its distance from the corresponding directrix and it is denoted with "e"; e range from 0 to 1; 0 < e <1.

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Mukesh replied | 27/11/2016

A circle has an eccentricity of zero, so the eccentricity shows you how "un-circular" the curve is. Bigger eccentricities are less curved.
At eccentricity = 0 we get a circle
for 0 < eccentricity < 1 we get an ellipse
for eccentricity = 1 we get a parabola
for eccentricity > 1 we get a hyperbola
for infinite eccentricity we get a line.

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

What do you mean by parabola?

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Sarvajeet replied | 26/11/2016

For Parabola, square of y = 4ax, the distance of a point P on the parabola from the focus = its distance (that point P on the parabola) from the directrix i.e., The eccentricity e = 1.

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Sri Veera Bhadraswamy replied | 10/12/2016

sp/pm=1 or e=1 where, sp is the distance between focal and any point on the curve and pm is the distance of the point p from directrix.

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A

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

What is the standard equation of parabola?

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Ramesh replied | 19/11/2016

Second degree parabola equation is Y=a+bx+cx2

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A

Anurag replied | 20/11/2016

x2/a2-y2/b2=1

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P

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

What is directrix?

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Manibhushan replied | 08/12/2016

A parabola is a locus of points equidistant from a single point, called the focus of the parabola, and a line, called the directrix of the parabola.

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Rama Krishna replied | 08/12/2016

Dear Student,
Directrix means in Geometry is a fixed line used in describing a Curve or Surface.

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

What do you mean by eccentricity?

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Saurabh replied | 02/12/2016

It is a measure of how much the conic section deviates from being circular. In particular, the eccentricity of a circle is zero.

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Sarvajeet replied | 04/12/2016

A conic section, or conic is the locus of a point which moves in a plane so that its distance from a fixed
point is in a constant ratio to its perpendicular distance from a fixed straight line and this constant ratio is
called eccentricity denoted by e .
Value of e Types of conics
e = 1 Parabola
0 < e < 1 Ellipse
e > 1 Hyperbola
e = 0 Circle
e...  more»
A conic section, or conic is the locus of a point which moves in a plane so that its distance from a fixed
point is in a constant ratio to its perpendicular distance from a fixed straight line and this constant ratio is
called eccentricity denoted by ‘e’.
Value of ‘e’ Types of conics
e = 1 Parabola
0 < e < 1 Ellipse
e > 1 Hyperbola
e = 0 Circle
e = Infinite Pair of straight lines «less

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M

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

What is the equation of tangent of slope m to the parabola?

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S

Srinivas replied | 27/11/2016

y^2=4ax => y =mx+c; c=a/m.

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Srinivas replied | 28/11/2016

y=mx+a/m.

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

What is the angle between the two tangents?

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Sanjeev replied | 12/12/2016

(m1-m2)/(1+m1m2).
Where m1 and m2 are the slope of the tangents.

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Pankaj replied | 13/12/2016

Angle between two tangents having slope m1 and m2 can be calculated as:
tanx = (m1-m2)/(1+m1m2).

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