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Equation of a circle which passes throug...

Equation of a circle which passes through (3,6) and touches the axes is

A

`x^(2) + y^(2) + 6x + 6y + 3 = 0`

B

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

C

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

D

none of these.

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS )
  1. Find the equation of the circle having (1,-2) as its centre and passin...

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  2. The area of the circle centred at (1,2) and passing through (4,6) is

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  3. Equation of a circle which passes through (3,6) and touches the axes i...

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

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  5. The equation of a circle with origin as centre and passing through the...

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  6. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

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  7. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

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  8. If the vertex of a parabola is the point (-3,0) and the directrix is t...

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  9. Find the area of the triangle formed by the lines joining the verte...

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  10. Find the equation of the lines joining the vertex of the parabola y...

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  11. If question of the ellipse whose focus is (1,-1), then directrix the l...

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  12. The lenth of the latus rectum of the ellipse 3x^2+y^2=12 is :

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  13. If e is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(...

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  14. The equation of the ellipse whose centre is at origin and which passes...

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  15. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

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  16. If the distance between the foci of a hyperbola is 16 and its eccen...

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  17. The length of the transverse axis of a hyperbola is 7 and it passes th...

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  18. Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

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  19. The equation of the chord joining the points (x(1) , y(1)) and (x(2), ...

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  20. The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :

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