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B

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Daljit Kaur replied | 22 Nov

[(y)square] = 4ax.

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Pritesh replied | 26 Nov

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

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Vijay replied | 23 Nov

x2 – y2 = a2.

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Sarvajeet Kumar replied | 3 days ago

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

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Prateek replied | 19 Nov

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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A

Anurag replied | 20 Nov

Those equation whose point of intersection meet at infinite.

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Bhaskar replied | 21 Nov

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

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Sarvajeet Kumar replied | 3 days ago

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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Balakrishnasingh 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the director circle of hyperbola?

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Anjaneyulu replied | 1 day ago

The locus of point of intersections of perpendicular tangents to the hyperbola is a circle called as Director circle and for a standard hyperbola (x^2/a^2)-(y^2/b^2)=1, its equation is x^2+y^2 = a^2-b^2.

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Sangeetha 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the difference between the diameter and conjugate diameter?

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Nirmal replied | 3 days ago

Hello Sangeetha,
Two diameters are conjugate if each bisects the chords parallel to the other diameter. If you consider the Hyperbola and Parabola, things get a little complicated. It is much simpler in Circles and Ellipses. Consider reading this link if you want to know more.

http:/...  more»
Hello Sangeetha,
Two diameters are conjugate if each bisects the chords parallel to the other diameter. If you consider the Hyperbola and Parabola, things get a little complicated. It is much simpler in Circles and Ellipses. Consider reading this link if you want to know more.

http://www.grad.hr/geomteh3d/skripta/konj_promjeri_eng.html

Regards

Nirmal «less

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Rahul replied | 2 days ago

Hello Sangeetha,
If we talk about ellipse, any chord that passes through the center of an ellipse is call its diameter. It follows that the family of parallel chords define two diameters: one in the direction to which they are all parallel and the other the locus of their midpoints. Such two diameters are called conjugate.

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Srinivas replied | 28 Nov

SIMPLY SAY THAT IN ANY CONIC SECTION ECCENTRICITY e>1

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Sarvajeet Kumar replied | 3 days ago

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

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B

Bala 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the difference between transverse axes and conjugate axes?

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Sarvajeet Kumar replied | 3 days ago

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.

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Sarvajeet Kumar replied | 3 days ago

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.

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S

Shishir 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Define conjugate formula?

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Lakshmi replied | 24 Nov

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.

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Sarvajeet Kumar replied | 3 days ago

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.

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Sample 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the normal equation of hyperbola?

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Vikas replied | 2 days ago

X^2/a^2 - Y^2/b^2 = 1, Where a and b are constants. Let me know if your question was for the equation of Normal to the parabola rather.

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Srinivas replied | 26 Nov

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 Nov

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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N

Nayan 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Define focal distance of a point?

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A

Ashokkumar replied | 5 days ago

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.

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Arvind Kumar replied | 4 days ago

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

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Y

Yash 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What do you mean by rectangular hyperbola?

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Pawan replied | 25 Nov

A rectangular hyperbola is a hyperbola whose Asymptotes are perpendicular to each other. Its equation is given by:
x^2 - y^2=a^2 or xy = a^2.

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Sarvajeet Kumar replied | 3 days ago

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

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K

Kumar 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What are the properties of hyperbola?

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Siva Naga Raju replied | 22 Nov

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].

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Anjali replied | 23 Nov

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.

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Rajini Sucharita 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the equation of chord joining two points on the hyperbola?

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Sudeesh replied | 26 Nov

xy1 + yx1 = 2c * c.

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Raghbendra 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What are the equation for finding the coordinates of the point of contact?

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Rachna replied | 21 Nov

To find the coordinates of point of contact you have to solve the equations simultaneously either by elimination method, or substitution or cross amulet up location method

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M

Mohit 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Define conjugate diameter?

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Sudeesh replied | 26 Nov

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.

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Bhupen 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

On a level plain the crack of the rifle and the thud of the ball striking the target are heard at the same instant, prove that the locus of the hearer is a hyperbola?

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Jaya Laxmi Kl replied | 24 Nov

Please find the solution screenshot.

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F

Furqankhan 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Find the locus of intersection of tangent to a hyperbola, which meet at a constant angle x?

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Rita replied | 22 Nov

Equation of hyperbola is x2/a2-y2/b2 = 1

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Answer

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S

Soumya 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Find the equation to the hyperbola whose asymptotes are the straight lines x + 3y – 1= 0 and 2x – y + 7 = 0, and which passes through the point (1, 2)?

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Chirag replied | 23 Nov

Asymptotes are nothing but tangents at infinity take equation of tangents and solve it.

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Chirag replied | 23 Nov

Let equation of the hyperbola is (x-h)^2/a^2+(y-b)^2/b^2 and its asymptotes are given by:- y=+or-(b/a)(x-h)+k.
You can compare your equations with this and find relevant values of a, b, h, k and substitute in equation of hyperbola.

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Kalpana 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

What is the formula for finding the asymptote of hyperbola?

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S

Sita 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Prove that the midpoints of chords of the hyperbola (square of x)/(square of a)–(square of y)/(square of b) = 1 parallel to the diameter y = mx lie on the diameter (square of a)my = (square of b) x?

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Poonam 14 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Hyperbola

Prove that the angle subtended by any chord of a rectangular hyperbola at the centre is the supplement of the angle between the tangents at the end of the chord?

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