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Consider the circle x^2 + y^2 = 9 and th...

Consider the circle `x^2 + y^2 = 9` and the parabola `y^2 = 8x`. They intersect at P and Q in first and 4th quadrant,respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents at the parabola at P and Q intersect the x-axis at S.

A

4

B

3

C

`8//3`

D

2

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The correct Answer is:
D
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  2. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  3. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  4. Statement I The curve y = x^2/2+x+1 is symmetric with respect to the l...

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  5. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  6. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

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  7. A parabola has the origin as its focus and the line x=2 as the directr...

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  8. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

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  9. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

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  10. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  11. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

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  12. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  13. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  14. The shortest distance between line y-x=1 and curve x=y^2 is

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  15. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

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  16. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  17. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

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  18. The slope of the line touching the parabolas y^2=4x and x^2=-32y is

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  19. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  20. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

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