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If the normals at two points P and Q of a parabola `y^2 = 4ax` intersect at a third point R on the curve, then the product of ordinates of P and Q is

A

`4a^2`

B

`2a^2`

C

`-4a^2`

D

`8a^2`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-PARABOLA-Exercise For Session 2
  1. The common tangent to the parabola y^2=4ax and x^2=4ay is

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  2. The circle x^2+y^2+4lamdax=0 which lamda in R touches the parabola y^...

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  3. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

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  4. Evaluate int 13x^2 dx

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  5. The set of points on the axis of the parabola y^2-4x-2y+5=0 from which...

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  6. Evaluate int 14x^2 dx.

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  7. Find the multiplication of 85×0

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  8. Find the equation of the normal to the parabola y^2=4x which is parall...

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  9. Find the equation of the normal to the parabola y^2=4x which is perp...

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  10. Find the multiplication of 95×0

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  11. Find the multiplication of 27×0

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  12. Find the multiplication of 78×0

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  13. If m1,m2 are the slopes of the two tangents that are drawn from (2,3) ...

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  14. Find the angle between the tangents drawn from the origin to the pa...

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  15. If (a , b) is the midpoint of a chord passing through the vertex of th...

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  16. The diameter of the parabola y^2=6x corresponding to the system of par...

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  17. Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The ...

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  18. What is the focus of the parabola x^2+y^2+2xy−6x−2y+3=0.

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  19. Find the locus of the mid-points of the chords of the parabola y^2=4ax...

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  20. A ray of light moving parallel to the x-axis gets reflected form a ...

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