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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)-x-y=0`

B

`x^(2)+y^(2)-6x-4y=0`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
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  2. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

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

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

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

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

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

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

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

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

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

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

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  16. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

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  17. if y = mx is a chord of a circle of radius a and the diameter of the c...

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  18. 18. The straight lines joining the origin to the points of intersectio...

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