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A line meets the coordinate axes at `A` and `B` . A circle is circumscribed about the triangle `O A Bdot` If `d_1a n dd_2` are distances of the tangents to the circle at the origin `O` from the points `Aa n dB` , respectively, then the diameter of the circle is `(2d_1+d_2)/2` (b) `(d_1+2d_2)/2` `d_1+d_2` (d) `(d_1d_2)/(d_1+d_2)`

A

m(m+n)

B

n(m+n)

C

m-n

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
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  2. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

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  3. A line meets the coordinate axes at A and B . A circle is circumscribe...

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  4. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

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  5. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

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  6. Find the equation of the circle whose radius is 5a n d which touches t...

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  7. A B is a diameter of a circle and C is any point on the circle. ...

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  8. The locus of the mid point of a chord of the circle x^2+y^2=4 which su...

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  9. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

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  10. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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  11. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

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  12. If the chord of contact of the tangents drawn from the point (h , k) t...

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  13. Find the equation of the circle which cuts the three circles x^2+y^2-3...

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  14. The equation of the circle which passes through (2a, 0) and has the ra...

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  15. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  16. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  17. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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  18. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

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  19. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  20. The equation of the image of the circle x^2+y^2+16x-24y+183=0 by the l...

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