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The equation of the circle passing throu...

The equation of the circle passing through the point (1,-2) and having its centre on the line 2x-y-14=0 and touching the line 4x+3y-23=0 is

A

`x^(2)+y^(2)+8x+12y+27=0`

B

`x^(2)+y^(2)-12y+27=0`

C

`x^(2)+y^(2)-8x-12y+27=0`

D

`x^(2)+y^(2)-8x+12y+27=0`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. The equation to the circles which touch the lines 3x-4y+1=0, 4x+3y-7=0...

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

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

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

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

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

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

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

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  9. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

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  10. Tangents PA and PB are drawn from P(a,b) to the circle x^(2)+y^(2)=r^(...

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  11. A circle touches x-axis and cuts off a constant length 2l from the y-a...

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  12. A circle passes through P(a,b) and touches the x-axis. The locus of th...

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  13. A rod PQ of length 2a sides with its ends on the axes the locus of the...

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  14. If O=(0,0), A=(1,0) and B=(1//2, sqrt3//2) then the centre of the circ...

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  15. If a chord of the circle x^(2)+y^(2)=8 makes equal intercepts of lengt...

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  16. The circle x^(2)+y^(2)-4x+4y-1=0 cuts the positive coordinate axes in ...

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  17. The interval in which the value of lambda should lie if the line 3x-4y...

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  18. The line x+y=1 cuts the coordinate axes at P and Q and a line perpendi...

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  19. Let x( x-a) + y (y-1) =0 be a circle. If two chords from (a,1) bisec...

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  20. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

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