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If the lines 2x -3y=5 and 3x-4y=7 are tw...

If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of radius 7, then the equation of the circle is

A

`x^(2) + y^(2) + 2x - 4y - 47 = 0`

B

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

C

`x^(2) + y^(2) - 2x + 2y - 47 = 0`

D

`x^(2) + y^(2) = 17`

Text Solution

Verified by Experts

The correct Answer is:
C
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SIA PUBLICATION-CIRCLE-PROBLEMS
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  2. The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the...

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  3. If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of rad...

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  4. The inverse of the point (1, 2) with respect to the circle x^(2) + y^(...

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  5. If theta is the angle between the tangents from (-1,0) to the circle x...

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  10. Statement I The circle x^(2) + y^(2) - 6x - 4y - 7 = 0 touches y-axis ...

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  12. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

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  13. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

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  14. Which of the following equation gives a circle ?

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  15. If P(1), P(2), P(3) are the perimeters of the three circles x^(2) + y^...

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  18. The number of circles that touches all the three lines x+y-1=0, x-y-1=...

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