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The two circles x^(2) + y^(2) - 2x + 22y...

The two circles `x^(2) + y^(2) - 2x + 22y + 5 = 0` and `x^(2) + y^(2) + 14x + 6y + k = 0` intersect orthogonally provided k is equal to...

A

47

B

-47

C

49

D

-49

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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

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  2. The radius of the circle x^(2) + y^(2) + 4x + 6y +13 = 0 is...

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  3. The two circles x^(2) + y^(2) - 2x + 22y + 5 = 0 and x^(2) + y^(2) + 1...

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  4. If the length of the tangent from any point on the circle (x-3)^(2)+(y...

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  5. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0 and bx^(2)+by^(2)+2g(2)...

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  6. The equation of the common tangent of the two touching circles, y^(2)+...

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  7. If the line 2 x+3 y+k=0 is a tangtnt to the circle x^(2)+y^(2)-6 x-8 ...

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  8. The area of the circle x^(2)+y^(2)-2 x+4 y-4=0 is

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  9. x^(2) + y^(2) -6x -6y + 4 = 0, x^(2) + y^(2) -2x -4y + 3 = 0, x^(2) + ...

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  10. If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cu...

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  11. If two circleS x^(2)+y^(2)+2 lambda x+c=0 and x^(2)+y^(2)-2 mu y-c=0 ...

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  12. Given that the circle x^(2)+y^(2)+2 x-4 y+4=0 and x^(2)+y^(2)-2 x-4 y...

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  13. The equation ot the circle concentric with x^(2)+y^(2)+6 x+2 y+1=0 an...

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  14. The centre of a circle passing through the points (0,0),(1,0) and tou...

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  15. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

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

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  17. If a circle passes through the point (a, b) and cuts x^2+y^2=4 orthogo...

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  18. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

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  19. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

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

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