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The equation of the circle whose one dia...

The equation of the circle whose one diameter is PQ, where the ordinates of P, Q are the roots of the equation `x^(2)+2x-3=0` and the abscissae are the roots of the equation `y^(2)+4y-12=0` is

A

`x^(2)+y^(2)+2x+4y-15=0`

B

`x^(2)+y^(2)-4x-2y-15=0`

C

`x^(2)+y^(2)+4x+2y-15=0`

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. One of the limit point of the coaxial system of circles containing x^(...

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  2. A circle touches y-axis at (0, 2) and has an intercept of 4 units on t...

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  3. The equation of the circle whose one diameter is PQ, where the ordinat...

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  4. The circle x^2 + y^2+ 4x-7y + 12 = 0 cuts an intercept on y-axis equal...

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  5. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

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  6. The angle between the pair of tangents from the point (1, 1/2) to the...

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  7. The intercept on line y = x by circle x^2 + y^2- 2x = 0 is AB. Find eq...

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  8. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  9. Locus of the middle points of chords of the circle x^2 + y^2 = 16 whic...

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  10. Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(...

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  11. A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touch...

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  12. the length of the chord of the circle x^(2)+y^(2)=25 passing through ...

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  13. If the points A(2, 5) and B are symmetrical about the tangent to the c...

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  14. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

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  15. Prove that the maximum number of points with rational coordinates on a...

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  16. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

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  17. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

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  18. The number of points on the circle 2(x^(2)+y^(2))=3x which are at a di...

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  19. A ray of light incident at the point (-2, -1) gets reflected from the ...

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  20. The point on the straight line y = 2x + 11 which is nearest to the cir...

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