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The abscisae of A and B are the roots of...

The abscisae of A and B are the roots of the equation `x ^(2) + 2ax -b ^(2) =0` and their ordinates are the roots of the equation `y ^(2) + 2 py -q ^(2) =0.` The equation of the circle with AB as diameter is

A

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

B

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

C

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

D

none of these

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The correct Answer is:
A
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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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  2. If the line y = x + 3 meets the circle x ^(2) + y ^(2) =a ^(2) at A an...

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

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

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

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

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

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

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

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  10. Length of the common chord of the circles (x -1) ^(2) + (y + 1)^(2) ...

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  11. If the lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area...

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  12. The equation of a circle with origin as centre and passing through the...

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  13. The circles x ^(2) + y ^(2) -10 x + 16=0 and x ^(2) + y ^(2) =r ^(2) i...

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  14. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

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  15. If the line x cos alpha + y sin alpha = p represents the common chod A...

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  16. A circle touches both the coordinate axes and the line x-y=sqrt(2)a, a...

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  17. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

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  18. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

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

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  20. An isosceles triangle is inscribed in the circle x ^(2) + y ^(2) - 6x ...

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