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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 fourth 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. The radius of the circumcircle of the triangle PRS is-

A

(a)`3sqrt2`

B

(b)`3sqrt3`

C

(c)`5`

D

(d)`2`

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The correct Answer is:
C
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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

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  5. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

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  6. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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

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

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  9. If a parabola has the origin as its focus and the line x = 2 as the ...

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  10. In a school, there are 30 teachers who teach Mathematics or Physics. O...

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

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

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  13. Of the 125 students in an elementary school, 89 students play checkers...

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  14. What is the 5th term of this sequence 9, 13, 17, ...?

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  15. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

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  16. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

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  17. If f (x) = 3x − 5, then inverse of f(x) is

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

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

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  20. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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