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If l denotes the semi-latus rectum of th...

If l denotes the semi-latus rectum of the parabola `y^2= 4ax` and SP and SQ denote the segments of any focal chord PQ, S being the focus, then SP, l and SQ are in the relation :

A

A.P.

B

G.P.

C

H.P.

D

`l^2=SP^2 +SQ^2`.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
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  4. The eccentricity of the ellipse : x^2+4y^2+8y-2x+1=0 is :

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  6. A line through the point A (2, 0), which makes an angle of 30^@ with t...

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  7. The total number of tangents through the point (3, 5) that can be draw...

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  8. The co-ordinates of the foot of the perpendicular from (0, 0) upon the...

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  9. If C is the reflection of A (2, 4) in x-axis and B is the reflection o...

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  10. The line y=2t^2 intersects the ellipse x^2/9+y^2/4=1 in real points if...

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  11. The coordinates of the focus of the parabola described parametrically ...

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  13. The angle between the line joining the foci of an ellipse to one parti...

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  14. The circles : x^2+y^2 - 10x + 16 =0 and x^2+y^2 =a^2 : intersect at tw...

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  15. The number of points on the line x + y = 4, which are unit distance ap...

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  16. For the two circles x^2+y^2= 16 and x^2+y^2-2y=0 there is/are :

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  17. If C is a point on the line segment joining A (-3, 4) and B (2, 1) suc...

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  18. The point (-4,5) is the vertex of a square and one of its diagonals is...

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  19. The vertices of a family of triangles have integer co-ordinates. If tw...

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