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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 the equation of the circle is `x^2+y^2+2x-2y=62` `x^2+y^2+2x-2y=47` `x^2+y^2-2x+2y=47` `x^2+y^2-2x+2y=62`

A

`x^(2)+y^(2) + 2x - 2y = 62`

B

`x^(2) + y^(2) + 2x - 2y = 47`

C

`x^(2) +y^(2) - 2x + 2y =47`

D

`x^(2) +y^(2) -2x + 2y = 62`

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-CIRCLES-JEE MAIN ( ARCHIVE )
  1. Centre of the circle inscribed in a rectangle formed by the lines x^2 ...

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  2. about to only mathematics

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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. Let L(1) be a straight line passing through (0,0) and L(2) be x+y=1. I...

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  5. The two points A and B in a plane are such that for all points P lies ...

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  6. Check Whether The line x+3y=0 is a diameter of the circle x^(2)+y^(2)+...

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  7. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  8. Let C be the circle with centre at (1,1) and radius =1. If T is the ci...

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  9. about to only mathematics

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  10. about to only mathematics

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  11. The point lying on common tangent to the circles x^(2)+y^(2)=4 and x^(...

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  12. The angle between a pair of tangents from a point P to the circe x^2 +...

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  13. Let A B C D be a quadrilateral with area 18 , side A B parallel to the...

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  14. about to only mathematics

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  15. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

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  16. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, ...

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

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  18. The circle passing through the point ( -1,0) and touching the y-axis ...

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  19. A circle passes through the points ( 2,3) and ( 4,5) . If its centre ...

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  20. The tangent to the circle C(1) : x^(2) +y^(2) -2x -1=0 at the point ( ...

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