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If the lines 2x+3y+1=0 and 3x-y-4=0 li...

If the lines `2x+3y+1=0` and `3x-y-4=0` lie along diameters of a circle of circumference `10 pi`, then the equation of the circle is

A

`x^(2) + y^(2) - 2x + 2y - 23 = 0`

B

`x^(2) + y^(2) - 2x - 2y - 23 = 0`

C

`x^(2) +y^(2) + 2x + 2y - 23 = 0`

D

`x^(2) + y^(2) + 2x - 2y - 23 = 0`

Text Solution

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The correct Answer is:
A
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MOTION-CIRCLE-Exercise - 2(Level - I) (Objective Problems | JEE Main)
  1. The circle passing through (t,1), (1,t) and (t,t) for all values of t ...

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  2. The lines 2x – 3y = 5 and 3x – 4y = 7 are diameters of a circle having...

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  3. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle ...

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  4. If the pair of lines ax^2+2(a+b)xy+by^2=0 lie along diameters of a cir...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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