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Find the equation of the common tangent ...

Find the equation of the common tangent of `y^2=4a x` and `x^2=4a y`.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Show that xcosalpha+ysinalpha=p touches the parabola y^2=4a x if pco...

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  2. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

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  3. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

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  4. If the lines L1 and L2 are tangents to 4x^2-4x-24 y+49=0 and are norma...

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  5. Find the shortest distance between the line y=x-2 and the parabola y=x...

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  6. If two tangents drawn from the point (alpha,beta) to the parabola y^2=...

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  7. Find dy/dx , tan^(-1){(cosx - sinx)/(cosx + sinx)} .

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  8. Find the angle at which normal at point P(a t^2,2a t) to the parabola ...

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

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  10. Find the equation of a parabola having its focus at S(2,0) and one ext...

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  11. Find the equation of a parabola having focus at (0,-3) and directrix y...

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

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

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

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

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

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

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

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

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

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