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If `C_(1),C_(2),C_(3),...` is a sequence of circles such that `C_(n+1)` is the director circle of `C_(n)`. If the radius of `C_(1)` is 'a', then the area bounded by the circles `C_(n)` and `C_(n+1)`, is

A

`2^(n)pi a^(2)`

B

`2^(2n-n) pia^(2)`

C

`2^(n-1)pi a^(2)`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
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  2. if y = mx is a chord of a circle of radius a and the diameter of the c...

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  3. 18. The straight lines joining the origin to the points of intersectio...

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  4. The locus of the point of intersection of the tangents to the circle x...

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  5. If the chrod of contact of tangents from a point (x(1),y(1)) to the ci...

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  6. The circle S(1) with centre C(1) ( a(1), b(1)) and radius r(1) touche...

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  7. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

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  8. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

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  9. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

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  10. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

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  11. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

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  12. If in a DeltaABC (whose circumcentre is at the origin), a leq sinA ,...

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  13. If P is a point such that the ratio of the squares of the lengths of t...

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  14. If C(1),C(2),C(3),... is a sequence of circles such that C(n+1) is the...

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  15. If r1a n dr2 are the radii of the smallest and the largest circles, re...

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  16. The radical centre of three circles described on the three sides x+y=5...

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  17. If theta is the angle between the two radii (one to each circle) drawn...

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  18. The number of rational point(s) [a point (a, b) is called rational, if...

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  19. The point ( [ P + 1 ] , [ P ] ) (where [.] denotes the greatest in...

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  20. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0" and "bx^(2)+by^(2)+2g(...

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