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If (x(1),y(1)) and (x(2),y(2)) are ends ...

If `(x_(1),y_(1))` and `(x_(2),y_(2))` are ends of focal chord of `y^(2)=4ax` then `x_(1)x_(2)+y_(1)y_(2)` =

A

`a^(2)`

B

`-3 a^(2)`

C

`5a^(2)`

D

`-5a^(2)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. Match the lengths of the focal chords drawn to y^(2)=8x from points ha...

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  2. If x-2y-a = 0 is a chord of y^(2) = 4ax then its length is

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  3. If (x(1),y(1)) and (x(2),y(2)) are ends of focal chord of y^(2)=4ax th...

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  4. If the tangents to y^(2)= 2x at 3 points have inclinations 30^(@), 40^...

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

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  6. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  7. The area of triangle formed by the points points and t(1),t(2) and t(3...

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  8. The area of triangle formed by tangents at the parametrie points t(1),...

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  9. If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the...

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  10. Equation of normal to y^(2) = 4x at the point whose ordinate is 4 is

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  11. The equation of normal to y^(2) = 4ax at the point of contact of a Ta...

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  12. The angle between normals to y^(2) = 24x at the points (6, 12) and (6,...

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  13. If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G a...

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  14. If t(1),t(2),t(3) are the feet of normals drawn from (x(1),y(1)) to th...

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  15. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

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  16. Number of normals drawn through the point (8, 4) to the parabola y^(2)...

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  17. Number of distinct normals that can be drawn from ((11)/(4),(1)/(4)) t...

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  18. The number of normals drawn to the parabola y^(2)=4x from the point (1...

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  19. The condition that the line lx +my+n =0 to be a normal to y^(2)=4ax is

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  20. The line y=sqrt(2)x+4sqrt(2) is normal to y^(2)=4ax is

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