Hyperbola Questions and Lessons

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Answered on 04/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

What is the normal equation of hyperbola?

Vikas K.

Physics and Mathematics Teacher

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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Answered on 14/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

Prove that the angle subtended by any chord of a rectangular hyperbola at the centre is the supplement...

Mohit Sardana

Software Engineer

Solve with the help of parametric equations of hyperbola.

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

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

Ankit Pushp

JEE/Board Maths Tutor

(x-h)2/a2-(y-k)2/b2 = 1 2 means square.

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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

Define conjugate diameter?

Ankit Pushp

JEE/Board Maths Tutor

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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Answered on 12/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

Prove that the midpoints of chords of the hyperbola (square of x)/(square of a)--(square of y)/(square...

Aravind B.

Let the cord parallel to y=mx be y=mx+c..............(1) Then the points of intersection with the hyperbola are given by:- x^2/a^2 - (mx+c)^2/b^2 = 1 or (1/a^2-m^2/b^2)x^2-2mxc/b^2-c^2/b^2-1=0 .....(2) Let (x1,y1) and (x2,y2) be the end points of the cord. Then x1 and x2 both satisfy Eq.(2) So x1+x2 = [2mc/b^2]/(1/a^2-m^2/b^2) = 2mc/(b^2/a^2-m^2)...............(3) Let (h,k) be the midpoint of the cord. Then h=(x1+x2)/2 = mc/(b^2/a^2-m^2) and k=(y1+y2)/2. Now both (x1,y1) and (x2,y2) satisfy Eq(1) so that k=mh+c. Substituting the value of c from Eq(3) k=mh+(b^2/a^2-m^2)h/m = b^2/(a^2m) Or a^2 mk = b^2h Therefore the locus of the midpoint (h,k) of the cord is a^2 my = b^2x.

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Answered on 11/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

What is conjugate lines?

Dilip Kumar Sethi

Tutor

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

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Answered on 07/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

What is the formula for finding the asymptote of hyperbola?

Srinivas

Tutor.

y-k =+/- b/a( x-h).

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Answered on 25/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

What do you mean by rectangular hyperbola?

Pawan Kumar

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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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

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

Ankit Pushp

JEE/Board Maths Tutor

xy1 + yx1 = 2c * c.

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Answered on 18/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

What is the standard form of parabola?

Ask Engineering Academy

Y-a = 4a (X-b)^2.

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