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The equation of the circle having centre...

The equation of the circle having centre on the line x+y=1 and touching the lines 3x-4y+2=0, 4x+3y+7=0

A

`x^(2)+y^(2)+2x+4y+24//25=0`

B

`x^(2)+y^(2)-2x-4y-44//25=0`

C

`2x^(2)+2y^(2)+x-y+14//25=0`

D

`x^(2)+y^(2)+2x-4y+44//25=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. ABCD is a square 2a unit. Taking AB and AD as axes of coordinates, the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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