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The equation of the diameter of the cir...

The equation of the diameter of the circle `x^(2)+y^(2)+6 x-4 y-2=0`, passing through the point (2,-3) is

A

`y=m(x+4) pm 7 sqrt(1+m^(2))+3`

B

`y=m(x-4) pm 7 sqrt(1+m^(2))-3`

C

`y=m(x-4) pm 7 sqrt(1+m^(2))+3`

D

`y=m(x+4) pm 7 sqrt(1+m^(2))-3`

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. P is any point on the line x-y=0 for which the ltngths of tangtnts to ...

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  2. If 2 y+x+3=0 touches the circle 5 x^(2)+5 y^(2)=k then k=

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  3. The equation of the diameter of the circle x^(2)+y^(2)+6 x-4 y-2=0, p...

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  4. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

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  5. The equation of the circle having radius 3 and touching the circle x^(...

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  6. The ltngth of the chord of the circle x^(2)+y^(2)-6 x+4 y-5=0 interce...

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  7. The circles x^2+y^2+4x+6y+3=0 and 2(x^2+y^2)+6x+4y+c=0 will cut ortho...

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  8. The circleS orthogonal to three circleS x^(2)+y^(2)+a(i) x+b(i) y+c=...

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  9. Find the equation of the circle with centre at (1,-2) and passing thro...

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  10. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

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  11. The points (0,0),(1,0),(0,1) and (t, t) are concyclic then t=

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  12. The equation of a diameter of the circle x^2 + y^2 = 2ay that is perpe...

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  13. The equation of the chord of the circle x^(2)+y^(2)-2 x-4 y-20=0 whos...

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  14. The common chord of x^(2)+y^(2)=16 and x^(2)+y^(2)-4 x-4 y=0 subtends ...

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  15. If the circles x^2+y^2+2x+2ky + 6=0 and x^2+y^2+2ky+k=0 intersect orth...

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  16. If the circles x^2+y^2+2x+2ky + 6=0 and x^2+y^2+2ky+k=0 intersect orth...

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  17. The radical axis of the circleS x^(2)+y^(2)+4 x=1 and 4 x^(2)+4 y^(2)...

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  18. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

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  19. The lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to the same...

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  20. The line 3x-2y=k meets the circle x^(2)+y^(2)=4r^(2) at only one point...

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