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If normal at point P on the parabola y^2...

If normal at point `P` on the parabola `y^2=4a x ,(a >0),` meets it again at `Q` in such a way that `O Q` is of minimum length, where `O` is the vertex of parabola, then ` O P Q` is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the ...

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

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  3. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

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  4. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

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  5. The parabola y=x^2+p x+q cuts the straight line y=2x-3 at a point with...

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  6. Tangent is drawn at any point (p ,q) on the parabola y^2=4a xdot Tange...

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  7. The equation of the directrix of the parabola with vertex at the origi...

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  8. Tangent is drawn at any point (x1, y1) other than the vertex on the pa...

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  9. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  10. Statement 1: If the parabola y^2=4a x and the circle x^2+y^2+2b x=0 to...

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  11. If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at A and B , then th...

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  12. P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) ...

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  13. If a and c are the lengths of segments of any focal chord of the parab...

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  14. AB is a chord the parabola y^(2)=4ax with vertex A. BC is drawn perpen...

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  15. Set of value of alpha for which the point (alpha,1) lies inside the ci...

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  16. If P is a point on the parabola y^(2)=3(2x-3) and M is the foot perpen...

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  17. If y=m x+c touches the parabola y^2=4a(x+a), then (a)c=a/m (b) c=a m...

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  18. The angle between the tangents to the paranola y^(2)=4ax at the points...

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  19. The area of the triangle formed by the tangent and the normal to the ...

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  20. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

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