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C1 and C2, are the two concentric circle...

`C_1 and C_2`, are the two concentric circles withradii `r_1 and r_2, (r_1 lt r_2)`. If the tangents drawnfrom any point of `C_2`, to `C_1`, meet again `C_2`, at theends of its diameter, then

A

`r_(2)=2r_(1)`

B

`r_(2)=sqrt(2)r_(1)`

C

`r_(2)^(2)lt 2r_(1)^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

In `Delta OPM`, we obtain
`sin 45^(@)=(OM)/(OP)rArr (1)/(sqrt(2))=(r_(1))/(r_(2))rArr r_(2)=sqrt(2)r_(1)`
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OBJECTIVE RD SHARMA-CIRCLES-Section I - Solved Mcqs
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  2. Find the equation of the smallest circle passing through the inters...

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  5. From a point A(1, 1) on the circle x^(2)+y^(2)-4x-4y+6=0 two equal cho...

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  6. The members of a family of circles are given by the equation 2(x^2 + y...

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  7. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  8. If D, E and F are respectively, the mid-points of AB, AC and BC in Del...

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  9. In example 70, equations of the sides QR and RP are respectively

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  10. A point on the line x=4 from which the tangents drawn to the circle 2(...

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  11. The tangents PA and PB are drawn from any point P of the circle x^(2)+...

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  12. Two concentric circles of which smallest is x^(2)+y^(2)=4, have the di...

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  14. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

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  15. Let 'a' and 'b' be non-zero real numbers. Then, the equation (ax^2+ by...

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  17. Let AB be a chord of the circle x^2+y^2=r^2 subtending a right angle a...

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  18. if a > 2b > 0 , then positive value of m for which y=mx-bsqrt(1+m^2) i...

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  19. A circle circumscribing an equilateral triangle with centroid at (0,0)...

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