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If (x1,y1)and (x2,y2) are ends of a foca...

If `(x_1,y_1)`and `(x_2,y_2)` are ends of a focal chord of `y^2 =4ax,` then values of `x_1x_2` and `y_1y_2` are (A) `a^2 , a^2` (B) `2a^2 ,a^2` (C) `a^2,-4a^2` (D) `a,a`

A

` - 4a^(2) , a^(2)`

B

`a^(2), 4a^(2)`

C

`- a^(2), -4a^(2)`

D

`4a^(2), a^(2)`

Text Solution

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The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
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  2. If P (3a , 2 asqrt(3)) is one end of a focal chord PQ of y^(2) = 4ax...

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  3. If (x1,y1)and (x2,y2) are ends of a focal chord of y^2 =4ax, then valu...

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  4. If theta is the inclination of a focal chord of y^(2) = 4ax to its ...

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  5. If theta is the inclination of a focal chord of y^(2) = 4ax to its ...

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  6. If L and L' are ends of latus-rectum of parabola y^(2) = 4ax whose ...

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  7. If t is a parameter , then locus of a point P (a sin^(2) t, 2a sin...

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  8. Equation of parabola ,having (4,-8) and (4,8) as ends of its latus-rec...

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  9. Tangent to y^(2) = 4ax at its vertex is

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  10. Foot of the directrix of the parabola y^(2) = 4ax is the point

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  11. If A (x(1) , y(1)) " and B" (x(2), y(2)) are point on y^(2) = 4ax , ...

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  12. If A (t(1)) " and " B(t(2)) are points on y^(2) = 4ax , then slope ...

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  13. Points A,B ,C , D on y^(2) = 4ax have parameters t(1) , t(2), t(3), ...

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  14. Points A,B,C,D, on y^(2) = 4ax have parameters t(1) , t(2), t(3) , ...

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  15. If PQ is a focal chord of parabola y^(2) = 4ax whose vertex is A , t...

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  16. If focal distance of a point P on y^(2) = 8x is 4, then P is

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  17. If focal distance of point P on y^(2) = 4x is 6, then P is

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  18. An equilateral triangle is inscribed in y^(2) = 8x so that one angul...

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  19. If (4,0) is the vertex , and Y-axis the directrix of a parabola , then...

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  20. The angle subtended by the double ordinate of length 8a of the parabol...

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