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If a circle passes through the point `(a, b)` and cuts the circlex `x^2+y^2=p^2` equation of the locus of its centre is

A

`2ax+2by-(a^(2)+b^(2)+p^(2))=0`

B

`2ax+2by-(a^(2)-b^(2)+p^(2))=0`

C

`x^(2)+y^(2)-3ax-4by+(a^(2)+b^(2)-p^(2))=0`

D

`x^(2)+y^(2)-2ax-3by+(a^(2)-b^(2)-p^(2))=0`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

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  2. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

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  3. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

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  4. The locus of the mid-point of the chords of the circle x^2+y^2=4 wh...

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  5. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  6. The equation of the circle described on the common chord of the circle...

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  7. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

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  8. A circle passes through the origin and has its center on y=x If it cut...

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  9. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

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  10. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

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  11. A circle touches the x-axis and also touches the circle with center (...

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  12. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

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  13. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

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  14. The point (sintheta, costheta). theta being any real number, die insid...

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  15. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

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  16. The range of values of a for which the point (a, 4) is outside the cir...

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  17. IF (alpha, beta) is a point on the chord PQ of the circle x^(2)+y^(2)=...

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  18. If the point (lambda,lambda+1) lies inside the region bounded by the c...

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  19. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

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  20. The abscissa of the two points A and B are the roots of the equation x...

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