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The circle C1 : x^2 + y^2 = 3, with cent...

The circle C1 :` x^2 + y^2 = 3`, with center at O, intersects the parabola` x^2 = 2y` at the point P in the first quadrant. Let the tangent to the circle C1 at P touches other two circles C2 and C3 at R2 and R3, respectively. Suppose C2 and C3 have equal radii `2sqrt(3)` and centers Q2 and Q3, respectively.If `Q_2 and Q_3` lies on the y-axis, then

A

`Q_2Q_3=12`

B

`R_2R_3=4sqrt6`

C

area of `Delta OR_2R_3` is `6sqrt2`

D

area of `Delta PQ_2Q_3` is `4sqrt2`

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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Of the 125 students in an elementary school, 89 students play checkers...

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

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

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

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

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

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

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  10. Evaluate int 28x^2 dx.

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

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

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  13. Let O be the vertex and Q be any point on the parabola,x^2=""8y . It...

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  14. If the normals of the parabola y^(2)=4x drawn at the end points of its...

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  15. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

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  16. Let P be the point on the parabola, y^(2)=8x which is at a minimum dis...

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  17. The circle C1 : x^2 + y^2 = 3, with center at O, intersects the parabo...

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  18. Let P be the point on the parabola y^(2)4x which is at the shortest di...

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  19. The radius of a circle, having minimum area, which touches the curve...

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  20. If a chord which is not a tangent, of the parabola y^(2)=16x has the e...

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