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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 point of 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_(3)` 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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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. If (x(1),y(1)) and (x(2),y(2)) are ends of focal chord of y^(2)=4ax th...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If the normals at (x(1),y(1)) and (x(2) ,y(2)) on y^(2) = 4ax meet ag...

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