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The circle, which passes through the ori...

The circle, which passes through the origin and whose centre lies on the line y = x and cutting the circle `x^2+y^2-4x-6y+10 = 0` orthogonally is :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
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  6. The centre and radius of the circle with the segment of the line x+y=...

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  9. The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is a...

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  12. The slope of the radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 ...

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  13. If the circle x^(2)+y^(2)+2 x-2 y+4=0 cuts the circle x^(2)+y^(2)+4 ...

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  14. The centre of the circle touching the y -axis at (0,3) and making an ...

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  16. The number of circleS that touch all the lines x+y-4=0, x-y+2=0 and y...

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  18. The number of common tangtnts that can be drawn to the circleS x^(2)+...

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  19. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

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  20. The radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 x^(2)+y^(...

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