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A circle passes through the origin and h...

A circle passes through the origin and has its center on `y=x` If it cuts `x^2+y^2-4x-6y+10=-` orthogonally, then find the equation of the circle.

A

`x ^(2) + y ^(2) + 2x + 2y =0`

B

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

C

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

D

`2x ^(2) + 2y ^(2) + x + y=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (CONCEPT-BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  13. A circle passes through the origin and has its center on y=x If it cut...

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  14. Equation of the circle on the common chord of the circles x ^(2) + y ^...

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  15. A circle touches the lines x-y- 1 =0 and x -y +1 =0. the centre of the...

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  16. Find the number of common tangents that can be drawn to the circles...

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  17. If the circle (x-2) ^(2) + (y -3) ^(2)=a ^(2) lies entirely in the cir...

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  19. Find the locus of a point which moves so that the ratio of the lengths...

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