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If 2x+3y=1 and 3x+4y=k are conjugate lin...

If `2x+3y=1` and `3x+4y=k` are conjugate lines w.r. the circle `x^(2)+y^(2)=4` then k=

A

36

B

72

C

24

D

144

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. If the points (k,1) (2,-3) are conjugate w.r.t. x^(2)+y^(2)+4x-6y-12=0...

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  2. If (1,2),(3,a) are conjugate points w.r.t x^(2)+y^(2)=16 then a=

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  3. If 2x+3y=1 and 3x+4y=k are conjugate lines w.r. the circle x^(2)+y^(2)...

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  4. If the lines 2x+y+12=0, 4x-3y-10=0 are conjugate w.r.t the circle with...

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  5. The points (-6,2),(-3,1) w.r.t the circle x^(2)+y^(2)=20 are

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  6. The inverse point of (1,2) w.r.t. the circle x^(2)+y^(2)=25, is (5,k) ...

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  7. The length of the chord of contact of (-2,3) with respect to the circl...

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  8. The locus of the point, the chord of contact of which wrt the circle x...

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  9. The polar of the point (1,2) w.r.t. the circle x^(2)+y^2-2x-4y-4=0

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  10. The straight line x-2y+5=0 intersects the circle x^(2)+y^(2)=25 in poi...

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  11. The line 4x+4y-11=0 intersects the circle x^(2)+y^(2)-6x-4y+4=0 at A a...

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  12. If the pole of a line w.r.t to the circle x^(2)+y^(2)=a^(2) lies on th...

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  13. The locus of poles of tangents to the circle (x-p)^(2)+y^(2)=b^(2) w.r...

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  14. If the pole of the line with respect to the circle x^(2)+y^(2)=c^(2) l...

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  15. The polar of the point (2t,t-4) w.r.t. the circle x^(2)+y^(2)-4x-6y+1=...

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  16. In DeltaABC the midpoints are D,E and F of the sides AB,BC and CA, the...

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  17. If (1, a), (b, 2) are conjugate points with renpcet to the circle x^(2...

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  18. If the lengths of the tangents from two points A, B to a circle are 4,...

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  19. If A and B are conjugate points w.r.t to circle x^(2)+y^(2)=r^(2) then...

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  20. Inverse of (0,0) w.r.t to circle x^(2)+y^(2)-4x-6y+3=0 is

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