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A circle drawn on any focal AB of the pa...

A circle drawn on any focal AB of the parabola `y^(2)=4ax` as diameter cute the parabola again at C and D. If the parameters of the points A, B, C, D be `t_(1), t_(2), t_(3)" and "t_(4)` respectively, then the value of `t_(3),t_(4)`, is

A

`-1`

B

2

C

3

D

none

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The correct Answer is:
C
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ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If a focal chord of the parabola be at a distanced from the vertex, th...

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

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

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

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

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

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

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

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

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  10. If P(at1^2,2at1)and Q(at2^2,2at2) are two variablé points on the curv...

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  11. If the point P(4, -2) is the one end of the focal chord PQ of the para...

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  12. If (2,-8) is at an end of a focal chord of the parabola y^2 = 32x, the...

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  13. The angle between the tangents drawn from the origin to the paraboala ...

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  14. Angle between tangents drawn from the point (1, 4) to the parabola y^2...

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  15. Two tangents are drawn from the point (-2, - 1) to the parabola y^2 = ...

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  16. Any tangent to a parabola y^2 = 4ax and perpendicular to it from the f...

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  17. The two parabolas y^(2)=4x" and "x^(2)=4 intersect at a point P, whose...

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  18. Consider a circle with its centre lying on the focus of the parabola, ...

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  19. The equation to the line touching both the parabolas y^2 = 4x and x^2 ...

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  20. If y=2x+3 is a tangent to the parabola y^2=24 x , then is distance fro...

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