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If the locus of the middle of point of contact of tangent drawn to the parabola `y^(2)=8x` and the foot of perpendicular drawn from its focus to the tangents is a conic, then the length of latus rectum of this conic is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If P(t^(2),2t),tin[0,2], is an arbitrary point on the parabola y^(2)=4...

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  2. If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...

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  3. If the locus of the middle of point of contact of tangent drawn to the...

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  4. The minimum area of circle which touches the parabolas y=x^2+1 and y^2...

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  5. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

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  6. The point of intersection of the tangents at the ends of the latus ...

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  7. If the normals of the parabola y^2=4x drawn at the end points of its l...

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  8. From a point A common tangents are drawn to a circle x^2 +y^2 = a^2/2 ...

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  9. If two tangents drawn from a point P to the parabola y^2 = 4x are at r...

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  10. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

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  11. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

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  12. Find the equation of the normal to the curve x^(2) = 4y which passes t...

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  13. Show that the locus of a point that divides a chord of slope 2 of the ...

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  14. Points A, B, C lie on the parabola y^2=4ax The tangents to the parabol...

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  15. If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k ...

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  16. Let P be a point whose coordinates differ by unity and the point does ...

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  17. Statement 1: The line x-y-5=0 cannot be normal to the parabola (5x-15)...

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  18. Consider the parabola y^2=12 x Column I, Column II Equation of ta...

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  19. If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the ...

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  20. Let P be the family of parabolas y=x^2+p x+q ,(q!=0), whose graphs cut...

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