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The abscissa of the two points A and B a...

The abscissa of the two points A and B are the roots of the equation `x^2+2a x-b^2=0` and their ordinates are the roots of the equation `x^2+2p x-q^2=0.` Find the equation of the circle with AB as diameter. Also, find its radius.

A

`sqrt(a^(2)+p^(2))`

B

`sqrt(b^(2)+q^(2))`

C

`sqrt(a^(2)+b^(2))`

D

`sqrt(a^(2)+b^(2)+p^(2)+q^(2))`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
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  2. about to only mathematics

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  4. The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda...

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  5. if y = mx is a chord of a circle of radius a and the diameter of the c...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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