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The equation of circles passing through ...

The equation of circles passing through `(3, -6)` touching both the axes is

A

`x^(2)+y^(2)-6x+6y+9=0`

B

`x^(2)+y^(2)+6x-6y+9=0`

C

`x^(2)+y^(2)+30x - 30y+225=0`

D

`x^(2)+y^(2)+30x +30y+225=0`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

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  2. A line is drawn through a fix point P(alpha, beta) to cut the circle x...

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  3. The equation of circles passing through (3, -6) touching both the axes...

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  4. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  5. If 2x-4y=9 and 6x-12y+7=0 are parallel tangents to circle, then radiu...

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  6. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

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  7. The length of the chord cut off by y=2x+1 from the circle x^2+y^...

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  8. Area of the circle in which a chord of lengthsqrt2 makes an angle pi/2...

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  9. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

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  10. Find the equation of the circle which passes through the points (1,-2)...

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  11. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

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  12. Equation of the circle with centre on the y-axis and passing through t...

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  13. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

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  14. If a circle passes through the points of intersection of the coordinat...

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  15. ABCD is a square in first quadrant whose side is a, taking AB and AD a...

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  16. If the points (2, 0), (0, 1), (4, 5)and (0, c) are concyclic, then th...

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  17. Find the point of intersection of the following pairs of lines: b x+a ...

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  18. Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. The...

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  19. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

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  20. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

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