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The equation of the circles which touch ...

The equation of the circles which touch the y-axis at the origin and the line 5x+12y-72=0 is

A

`x^(2)+y^(2)-6y=0, x^(2)+y^(2)+24y=0`

B

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

C

`x^(2)+y^(2)+18x=0, x^(2)+y^(2)-8x=0`

D

`x^(2)+y^(2)+4x=0, x^(2)+y^(2)-16x=0`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. Equation of the circle touching the y-axis at (0,sqrt3) and cuts the x...

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  2. The equation of the circles which touch the x-axis at the origin and t...

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  3. The equation of the circles which touch the y-axis at the origin and t...

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  4. The equation of the circle touching the y-axis at the origin and passi...

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  5. The equation of the cirles touching the coordinate axes and the line x...

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  6. The equation of a circle touching the coordinate axes and the line 3x-...

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  7. The equation of the circle in the first quadrant which touch the co-or...

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  8. Theq equation of the circle which touches the lines x=0, y=0 and x=c i...

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  9. The circle passing through (1,-2) and touching the axis of x at (3,0) ...

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  10. ABCD is a square 2a unit. Taking AB and AD as axes of coordinates, the...

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  11. The equation of the circle whose centre lies in the first quadrant and...

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  12. The equation of the circle having centre on the line x+y=1 and touchin...

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  13. The equation to the circles which touch the lines 3x-4y+1=0, 4x+3y-7=0...

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  14. The equation of the circle which has a radius 5 and tangent as the lin...

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  15. The equation of the circle passing through the point (1,-2) and having...

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  16. The equation of the circles which touch the y-axis at a distance 4from...

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  17. Consider a family of circles which are passing through the point (-1,1...

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  18. A variable circle passes through the fixed point (2,0) and touches the...

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  19. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

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  20. O is the origin and OA, OB are a pair of tangents to the x^(2)+y^(2)+2...

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