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The abscissae of two points A and B are ...

The abscissae of two points A and B are the roots of the equation `x^(2)+2ax-b^(2)=0` and their ordinate are the roots fo the equations `y^(2)+2py-q^(2)=0` then the radius of the circle with AB as diameter is

A

`x^(2)+y^(2)+2ax+2py-b^(2)-q^(2)=0`

B

`x^(2)+y^(2)+2ax+2py+b^(2)-q^(2)=0`

C

`x^(2)+y^(2)-2qx-2py+b^(2)+q^(2)=0`

D

`x^(2)+y^(2)+2ax-2py+b^(2)-q^(2)=0`

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The correct Answer is:
A
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. Show that the equation of the circle which pass through the points (1,...

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  2. If the abscissae of points A, B are the roots of the equation x^(2) + ...

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  3. The abscissae of two points A and B are the roots of the equation x^(2...

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  4. The circle described on the line joining the points (0,1), (a,b) as di...

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  5. The equation of the circle passing through (3,0) and (0,4) and having ...

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  6. The line x/a+y/b=1 cuts the coordinate axes at a and B a line perpendi...

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  7. A(cos theta, sin theta), B (sin theta,- cos theta) are two points then...

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  8. A circle of radius r passes through the origin and meets the axes at A...

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  9. A rod AB of length 3 units moves vertically with its bottom B always a...

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  10. A square is inscribed in the circle x^(2)+y^(2)-2x+4y-93=0 with its si...

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  11. An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2). ...

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  12. Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in th...

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  13. The shortest distance of (-5,4) to the circle x^(2)+y^(2)-6x+4y-12=0 i...

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  14. The circle passing through (0,0),(a,0), (0,b) is

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  15. The radius of the circle passing through the points (0,0),(0,3),(4,0) ...

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  16. If a square of side 10 is inscribed in a circle then radius of the cir...

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  17. If the lines lx+2y +3=0 and 2y+mx+4=0 cut the co-ordinate axes in conc...

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  18. If the lines 2x-3y+7=0, 3x+ky+5=0 cut the coordinate axes in concyclie...

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  19. The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

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  20. If the points (3,0),(0,4),(0,0) and (k,4) are concylic then k=

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