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If tangents are drawn to y^2=4a x from a...

If tangents are drawn to `y^2=4a x` from any point `P` on the parabola `y^2=a(x+b),` then show that the normals drawn at their point for contact meet on a fixed line.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Find the angle at which normal at point P(a t^2,2a t) to the parabola ...

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  3. If tangents are drawn to y^2=4a x from any point P on the parabola y^2...

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  6. Find the equation of a parabola having its vertex at A(1,0) and focu...

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  7. A beam is supported at its ends by supports which are 12 metres apa...

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  8. Find the coordinates of points on the parabola y^2=8x whose focal dist...

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  9. If a parabolic reflector is 20 cm in diameter and 5 cm deep, find t...

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  10. An arch is in the form of a parabola with its axis vertical. The arc i...

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  11. If the vertex of a parabola is the point (-3,0) and the directrix is t...

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  12. The chord A B of the parabola y^2=4a x cuts the axis of the parabola a...

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  13. Prove that the chord y-xsqrt(2)+4asqrt(2)=0 is a normal chord of the p...

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  14. Find the point on the curve y^2=a x the tangent at which makes an angl...

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  15. Find the equation of the straight lines touching both x^2+y^2=2a^2 and...

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  16. Find the points of contact Q and R of a tangent from the point P(2,3) ...

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  17. Two straight lines (y-b)=m1(x+a) and (y-b)=m2(x+a) are the tangents of...

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  18. A pair of tangents are drawn to the parabola y^2=4a x which are equall...

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  19. Tangent are drawn from the point (-1,2) on the parabola y^2=4x . Find ...

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  20. Tangents are drawn to the parabola (x-3)^2+(y-4)^2=((3x-4y-6)^2)/(25) ...

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