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Co-ordinates of radical centre of the ci...

Co-ordinates of radical centre of the circles : `x^2+y^2 = 9 , x^2+y^2 -2x -2y =5` and `x^2+y^2 +4x + 6y =19` are :

A

(0,0)

B

(1,1)

C

(-1,1)

D

(1,-1)

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. Number of common tangents to the circles : x^2+y^2 -6x-14y+48=0 and x^...

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  2. The locus of the centre of a circle which cuts orthogonally the circle...

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  3. Co-ordinates of radical centre of the circles : x^2+y^2 = 9 , x^2+y^2 ...

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  4. The equation of the family of circles, which same radical axis, as the...

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  5. If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies wi...

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  6. The radius of the smallest circle, which passes through the points of ...

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  7. The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2. Th...

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  8. The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...

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  9. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  10. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

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

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  12. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

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  13. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

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  14. If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...

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  15. If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of ...

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  16. Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...

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  17. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

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  18. Consider a family of circles which are passing through the point (-1, ...

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  19. The point diametrically opposite to the point P (1, 0) on the circle x...

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  20. If P and Q are the points of intersection of the circles x^2+y^2+3x+7y...

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