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A line meets the coordinate axes at A an...

A line meets the coordinate axes at A and B. A circle is circumscribed obout the triangle OAB. If the distance of the points A and B from the tangent at O, the origin, to the circle ar m and n respectively, find the equation of the circle.

A

`m (m +n)`

B

`m+n`

C

`n (m+n)`

D

`m ^(2) + n ^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  5. If a circle passes through the point (3,4) and cuts the circle x ^(2)...

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  8. The circle passing through (t,1), (1,t) and (t,t) for all values of t ...

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  9. If OA and OB are the tangents from the origin to the circle x^2+y^2+2g...

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  10. If the line y = x + 3 meets the circle x ^(2) + y ^(2) =a ^(2) at A an...

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  11. The abscisae of A and B are the roots of the equation x ^(2) + 2ax -b ...

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  12. If two circles x ^(2) + y ^(2) + 2gx + 2fy =0 and x ^(2) +y ^(2) + 2g ...

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  13. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

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  14. The length of the tangent drawn from any point on the circle x^(2) + y...

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  15. Prove that the farthest point on the circle,x^2 + y^2-2x-4y-11=0 from ...

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  16. C(1) is a circle with centre at the origin and radius equal to r and C...

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  17. An equilateral triangle is inscribed in the circle x^2+y^2=a^2 with o...

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