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Find the locus of the centres of the cir...

Find the locus of the centres of the circle which cut the circles `x^2+y^2+4x-6y+9=0` and `x^2+y^2+4x+6y+4=0` orthogonally

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The locus of the centre of all circle which cuts the circle x^(2)+y^(2)+4x-6y+9=0 and x^(2)+y^(2)-4x+6y+4=0 orthogonlly is

The locus of the centre of a circle which cuts the circles 2x^(2)+2y^(2)-x-7=0 and 4x^(2)+4y^(2)-3x-y=0 orthogonally is a straight line whose slope is (A)-1 (B) 1(C)-2(D)-(5)/(2)

The locus of the centers of the circles which cut the circles x^(2) + y^(2) + 4x – 6y + 9 = 0 and x^(2) + y^(2) – 5x + 4y – 2 = 0 orthogonally is

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Show that the circles x^2 + y^2 - 2x-6y-12=0 and x^2 + y^2 + 6x+4y-6=0 cut each other orthogonally.

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A DAS GUPTA-Circles-EXERCISE
  1. Locus of the point of intersection of perpendicular tangents to the ...

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  2. If the polar of a point (p,q) with respect to the circle x^2 +y^2=a^2 ...

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  3. Find the locus of the centres of the circle which cut the circles x^2+...

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  4. The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-a xi s in the positi...

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  5. The circle x^2+y^2 - 4x-8y + 16 = 0 rolls up the tangent to it at (2+s...

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  6. The centre of a circle (1, 1) and its radius is 5 units. If the centre...

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  7. The point of intersection of the lines x - y + 1 =0 and x + y + 5 = 0 ...

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  8. A circle touches x-axis at (2, 0) and has an intercept of 4 units on y...

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  9. Tht line L passes through the points f intersection of the circles x ^...

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  10. The equation of the locus of the mid-points of chords of the circle 4...

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  11. The sides of a square are x =4, x = 7, y =1 and y = 4 . The equation...

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  12. If (4, 1) be an end of a diameter of the circle x^2 + y^2 - 2x + 6y-15...

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  13. 7y-x-5=0 touches the circle x^2+y^2-5x+5y=0. The equation of other par...

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  14. Find the equation of the tangents to the circle x^2 + y^2 = 4 which ma...

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  15. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  16. If a circle passes through the points of intersection of the coordinat...

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  17. The area of the triangle formed by the positive x-axis with the norma...

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  18. The equation of the circle passing through (2,0) and (0,4) and having ...

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  19. The equation of the line passing through the points of intersection of...

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  20. The area bounded by circles x^2 +y^2=r^2, r = 1, 2 and rays given by 2...

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