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The diameters of a circle pre along 2x+y...

The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the equation of this circle, which also passes through (5,7) is:

A

`x^(2)+y^(2)-4x-6y-16=0`

B

`x^(2)+y^(2)-4x-6y-20=0`

C

`x^(2)+y^(2)-4x-6y-12=0`

D

`x^(2)+y^(2)+4x+6y-12=0`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. Origin is the centre of a circle passing through the vertices of an eq...

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  2. The lines 2x-3y+5 and 3x-4y=7 are the diameters of a circle of area 15...

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  3. The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the...

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  4. If the two circles x^(2)+y^(2)+2gx+c=0 and x^(2)+y^(2)-2fy-c=0 have eq...

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  5. Centre and radius of the circle with segment of the line x+y=1 cut off...

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

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  7. The equation of the circle passing through (2, 0) and (0, 4) and havin...

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  8. The abscissae of two points A and B are the roots of the equation x^(2...

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  9. If the circles described on the line joining the points (0,1) and (alp...

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  10. A rod AB of length 4 units moves horizontally with its left end A alwa...

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  11. A line segment AM=a moves in the XOY plane such that AM is parallel to...

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  12. Locus of centroid of the triangle whose vertices are (a cos ...

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  13. A circle of constant radius 3k passes through (0,0) and cuts the axes ...

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  14. A circle passes through origin and meets the axes at A and B so that (...

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

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  16. A line is at a distance c from origin and meets axes in A an dB. The l...

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  17. A right angled isosceles triangle is inscribed in the circle x^(2)+y^(...

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  18. If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4...

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  19. The locus of the foot of the perpendicular drawn from orign to a varia...

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  20. A square is inscribed in the circlex^(2)+y^(2)-4x+6y-5=0 whose sides a...

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