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The lines 2x-3y+5 and 3x-4y=7 are the di...

The lines `2x-3y+5` and `3x-4y=7` are the diameters of a circle of area 154 sq. units. Then equation of circle is

A

`(x+1)^(2)+(y+1)^(2)=49

B

`(x-1)^&(2)+(y-1)^(2)=49

C

`(x-1)^(2)+(y+1)^(2)=49

D

`(x+1)^(2)+(y-1)^(2)=49

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and ...

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  2. Origin is the centre of a circle passing through the vertices of an eq...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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