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If y(1),y(2) are the ordinates of two po...

If `y_(1),y_(2)` are the ordinates of two points P and Q on the parabola and `y_(3)` is the ordinate of the intersection of tangents at P and Q, then

A

`y_1,y_2, y_3` are in A.P.

B

`y_1,y_3,y_2` are in A.P.

C

`y_1, y_2, y_3` are in G.P

D

`y_1,y_3,y_2` are in G.P.

Text Solution

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The correct Answer is:
B
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If the tangent at the point P (2,4) to the parabola y^2 = 8x meets the...

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  2. The locus of the point of intersection of tangents to the parabola y^2...

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  3. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

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  4. Ordinates of three points A,B,C on the parabola y^2 = 4ax are in G.P. ...

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  5. If the tangents at P and Q on a parabola meet in T, then SP, ST and SQ...

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  6. The tangent at P to a parabola meets the tangents at the vertex A in Q...

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  7. If b and c are the lengths of the segments of any focal chord of a par...

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  8. If b,c are the segments of a focal chord of the parabola y^2 = 4ax, t...

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  9. The latus rectum of a parabola whose focal chord PSQ is such that SP =...

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  10. If PSQ is focal chord of the parabola y^2 = 8x such that SP=6, then th...

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  11. If A1 B2 and A2 B2 are two focal chords of the parabola y^2 = 4ax the...

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  12. If a focal chord of the parabola be at a distanced from the vertex, th...

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  13. Tangents at the extremities of a focal chord of a parabola intersect o...

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  14. A circle drawn on any focal AB of the parabola y^(2)=4ax as diameter c...

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  15. The tangents at the points (at1^2,2at1), (at2^2, 2at2) on the parabola...

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  16. If two tanents drawn from a point P to the parabola y^2 = 4x are at ri...

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  17. If y+b=m1 (x+ a) and y+b=m2 (x+ a) are two tangents to the parabola y^...

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  18. Any two perpendicular tangents to a parabola intersect on the

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  19. A chord of the parabola y^2 = 4ax subtends a right angle at the verte...

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  20. The angle between tangents to the parabola y^2 = 4ax at the point wher...

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