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If the lines 3x-4y-7 = 0 and 2x-3y-5=0 a...

If the lines `3x-4y-7 = `0 and `2x-3y-5=0` are two diameters of a circle of area `49pi` square units, the equation of the circle is:

A

`x^(2) + y^(2) + 2x - 2y - 62 = 0`

B

`x^(2) + y^(2) - 2x + 2y - 62 = 0`

C

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

D

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

Text Solution

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The correct Answer is:
C
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MOTION-CIRCLE-Exercise - 2(Level - I) (Objective Problems | JEE Main)
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  2. If the pair of lines ax^2+2(a+b)xy+by^2=0 lie along diameters of a cir...

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  3. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

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  4. If (x ,3)a n d\ (3,5) are the extremities of a diameter of a circle wi...

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  5. A variable circle passes through the fixed point A(p,q) and touches t...

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  6. Centre of the circle toucing y-axis at (0,3) and making an intercept 2...

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  7. A circle touches a straight line lx+my+n=0 and cuts the circle x^2+y^2...

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  8. A circle touches the x-axis and also touches the circle with center (...

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  9. The locus of the centre of a circle which touches externally the circl...

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  10. If (a,1/a), (b.1/b) , ( c,1/c) , (d , 1/d) are four distinct points on...

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  11. Find the number of point (x ,y) having integral coordinates satisfying...

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  12. The square of the length of tangent from (3, –4) on the circle x^(2) +...

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  13. Three equal circles each of radius r touch one another. The radius of ...

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  14. The locus of the mid points of the chords of the circle x^2+y^2-ax-by=...

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  15. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

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  16. The chord of contact of tangents from three points P, Q, R to the circ...

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  17. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

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  18. A pair of tangents are drawn from the origin to the circle x^2+y^2+20(...

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  19. Find the equation of the pair of tangents drawn to the circle x^2 + y^...

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  20. If the circle x^2+y^2 +4x+22y + c = 0 bisects the circumference of the...

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