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The abscissa of two points A and B are t...

The abscissa of two points 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

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

D

None of these

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A
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TARGET PUBLICATION-CIRCLE AND CONICS -EVALUATION TEST
  1. If one end of the diameter is (1, 1) and the other end lies on the lin...

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  2. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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

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  4. A circle is inscribed in an equilateral triangle of side a. The area o...

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  5. On the parabola y = x^(2), the point least distance from the straight ...

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  6. The equation of a circle passing through the vertex and the extremites...

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  7. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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  8. Tht line L passes through the points f intersection of the circles x ^...

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  9. the equation of the circle passing through the foci of the ellip...

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  10. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

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  11. An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 ...

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  12. The circle x^2 +y^2=4x+8y+ 5 intersects the line 3x-4y= m at two disti...

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  13. Three distinct points A, B and C are given in the 2-dimensional coordi...

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  14. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  15. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

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  16. The sum of the minimum distance and the maximum distnace from the poin...

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  17. Let f(x,y) =0 be the equation of a circle. If f (0, lamda)=0 has equal...

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  18. The distance between the vertex of the parabola y = x^2 - 4x + 3 and...

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  19. Let a circle touches to the directrix of a parabola y ^(2) = 2ax has i...

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  20. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

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