Hyperbola

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

Sujoy D.

Tutor

x2 - y2 = a2 equation of rectangular hyperbola.
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Answered on 07/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

Srinivas

Tutor.

y-k =+/- b/a( x-h).
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Answered on 07 Feb Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

Sujoy D.

Tutor

It is a line such that the distance between the curve and the line approaches zero as they tend to infinity.an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity.
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Answered on 07 Feb Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

Sujoy D.

Tutor

y= mx + sqrt(a*a*m*m - b*b)
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Answered on 04/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics 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 11/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

Dilip Kumar Sethi

Tutor

Two lines each of which passes through the pole of the other.
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Answered on 09/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Hyperbola

Ankit

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... read more
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? read less

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... read more
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. read less
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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... read more
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? read less

Mohit Sardana

Software Engineer

Solve with the help of parametric equations of hyperbola.
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