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A circle touches a straight line lx+my+n...

A circle touches a straight line `lx+my+n=0` and cuts the circle `x^2+y^2=9` orthogonally, The locus of centres of such circles is

A

`(lx + my + n)^(2) = (l^(2) + m^(2)) (x^(2) + y^(2) – 9)`

B

`(lx + my – n)^(2) = (l^(2) + m^(2)) (x^(2) + y^(2) – 9)`

C

`(lx + my + n)^(2) = (l^(2) + m^(2)) (x^(2)+ y^(2) + 9)`

D

none of these

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The correct Answer is:
A
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MOTION-CIRCLE-Exercise - 2(Level - I) (Objective Problems | JEE Main)
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  11. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

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

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

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

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

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

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  17. The lenght of the common chord of circles x^2+y^2-6x-16=0 and x^2+y^2-...

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  18. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

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  19. If two circles (x-1) ^(2) + (y-3) ^(2) =r^(2)and x ^(2) +y^(2) -8x +2y...

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  20. If the circles x ^(2) +y^(2) +2ax+cy+a=0 and x ^(2) +y^(2) -3ax+dy-1=0...

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