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If one of varying central conic (hyperbo...

If one of varying central conic (hyperbola) is fixed in magnitude and position, prove that the locus of the point of contact of a tangent drawn to it from a fixed point on the other axis is a parabole.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter,...

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  2. Let P be any point on a directrix of an ellipse of eccentricity e ,S b...

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  3. If one of varying central conic (hyperbola) is fixed in magnitude and ...

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  4. If a tangent of slope is 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 i...

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  5. A transvers axis cuts the same branch of a hyperbola (x^2)/(a^2)-(y^2)...

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  6. If (sqrt(3))b x+a y=2a b touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

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  7. The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (...

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  8. If the ellipse (x^2)/(a^2-7)+(y^2)/(13=5a)=1 is inscribed in a square ...

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  9. The curve for which the length of the normal is equal to the length...

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  10. The locus of the point of intersection of the tangent at the endpoints...

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  11. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

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  12. The normal at a variable point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2...

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  13. If the distance between the foci and the distance between the two d...

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  14. Any ordinate M P of the ellipse (x^2)/(25)+(y^2)/9=1 meets the auxilia...

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  15. 1. If the distance between two parallel tangents drawn to the hyperbol...

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  16. The number of distinct normal lines that can be drawn to the ellipse (...

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  17. A normal is drawn to the hyperbolas (y-x m)(m y+x)=a^2 and (m^2-1)(y^2...

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  18. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

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  19. The equation of the transvers axis of the hyperbola (x-3)^2+(y+1)^2=(4...

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  20. Find the values of a for which three distinct chords drawn from (a ,0...

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