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Equation of a circle having radius equal...

Equation of a circle having radius equal to twice the radius of the circle `x^2+y^2+(2p +3)x + (3-2p)y +p-3 = 0` and touching it at the origin is

A

`x ^(2) + y ^(2) + 9x - 3y =0`

B

`x ^(2) + y ^(2) - 9x + 3y =0`

C

`x ^(2) + y ^(2) + 18 x + 6y =0`

D

`x ^(2) + y ^(2) + 18 x - 6y =0`

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  5. On the line joining the points A (0,4) and B (3,0), a square ABCD is c...

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  6. A circle with center at the origin and radius equal to a meets the axi...

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  7. Equation of a circle having radius equal to twice the radius of the ci...

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  8. A circle C1 of radius b touches the circle x^2 + y^2 =a^2 externally a...

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  9. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

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  10. The locus of points of intersection of the tangents to x^(2)+y^(2)=a^...

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  11. If theta is the angle subtended by the circle S -= x ^(2) + y ^(2) + 2...

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  12. If the area of the quadrilateral formed by the tangent from the origin...

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  13. An equation chord joining the points (1,2) and (2,-1) subtends an angl...

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  14. An equation of a common tangent to the circle x ^(2) + y ^(2) + 14 x -...

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  15. The locus of the point, the sum of the squares of whose distances from...

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  16. An isosceles triangle ABC is inscribed in a circle x^2+y^2=a^2 with t...

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  17. If the chord of contact of the tangents drawn from a point on the c...

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  18. If the line 3x - 4y - k = 0 (k gt 0) touches the circle x^(2)+y^(2)-4x...

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  19. The circles x^2 + y^2 + 2g1x- a^2=0 and x^2 + y^2 + 2g2x-a^2 = 0 cut e...

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  20. A circle C touches the x-axis and the circle x ^(2) + (y-1) ^(2) =1 ex...

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