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The equation of the circles touching the...

The equation of the circles touching the coordinate axes and passing through the point (k,2k) where `k gt 0` is

A

`2x^(2)+2y^(2)+12kx-12ky+k^(2)=0, 4x^(2)+4y^(2)-10kx-10ky+25k^(2)=0`

B

`x^(2)+y^(2)-kx-2ky+k^2=0, x^(2)+y^(2)-10kx-10ky+25k^(2)=0`

C

`x^(2)+y^(2)+2kx+2ky+k^(2)=0, x^(2)+y^(2)+10kx+10ky+25k^(2)=0`

D

`x^(2)-y^(2)-2kx-2ky-k^(2)=0, x^(2)-y^(2)-10lx-10ky-25k^(2)=0`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. The equation of the cirlce touching both the axes lying in the third q...

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  2. The equation of the circle passing through (2,1) and touching the coor...

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  3. The equation of the circles touching the coordinate axes and passing t...

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  4. The equation of the circles touching the axes at (5,0) and (0,5) is

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  5. The equation of the cirles touch the x-axis (3,0) and make an intercep...

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

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  7. Equation of the circle touching the y-axis at (0,sqrt3) and cuts the x...

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

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

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

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

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

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

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

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

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

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

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

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

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

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