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if the distances from the origin to the centre of three circles `x^2+y^2+2lambda_ix-c^2=0(i=1,2,3)` are in G.P. ,then the lengths of the tangents drawn to them from any point on the circle `x^2+y^2=c^2` are in

A

A.P.

B

G..P.

C

H.P.

D

none of these

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PATHFINDER-CIRCLE-QUESTION BANK
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  2. Area of the triangle formed by the positive x-axis and the normal and ...

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  3. if the distances from the origin to the centre of three circles x^2+y^...

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  4. AB is a diameter of a circle and 'C' is any point on the circumference...

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  5. The centres of a set of circles, each of radius 3 , lie on the circle ...

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  6. A circle touches the x-axis and also touches the circle with centre (0...

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  7. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

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  8. The difference between the radii of the largest and the smallest circl...

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  9. An isosceles triangle ABC inscribed in a circle x^2+y^2=a^2 with the v...

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  10. The equation of circumcircle of an equilateral triangle is x^2+y^2+2gx...

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  11. The number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-...

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  12. If the points (0,0),(1,0),(0,1) and (t,t) are concyclic, then t=

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  13. If a circle of constant radius 3K passes through the origin and meets ...

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  14. The equation of the circle which touches the axis of y at the origin a...

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  15. Area of the circle in which a chord of length sqrt2 makes an angle pi/...

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  16. The greatest distance of the point P (10,7) from the circle x^2+y^2-4x...

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  17. The length of the chord cut off by y=2x+1 from the circle x^2+y^2=2 is

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  18. The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...

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  19. If the line hx+ky=1 touches x^2+y^2=a^2 , then the locus of the point ...

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  20. The number of tangents that can be drawn from the point (8,6) to the c...

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