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Prove that the locus of the point of int...

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola `x^(2)-y^(2)=a^(2)" is " a^(2)(y^(2)-x^(2))=4x^(2)y^(2)`.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
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  2. Consider the family of circles x^2+y^2=r^2, 2 < r < 5 . If in the fir...

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  4. Number of points from where perpendicular tangents can be drawn to the...

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  6. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

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  7. P is a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, and N...

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  8. If P(x ,y) is any point on the ellipse 16 x^2+25 y^2=400 and f1=(3,...

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  11. Find the equations of tangents to the curve 4x^(2)-9y^(2)=1 which are ...

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  12. Find the value of m for which y=mx+6 is a tangent to the hyperbola (x^...

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  13. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)...

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  14. One the x-y plane, the eccentricity of an ellipse is fixed (in size a...

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  15. Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1).

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  18. A hyperbola having the transverse axis of length 2sintheta is confocal...

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