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If the points A(2, 5) and B are symmetri...

If the points A(2, 5) and B are symmetrical about the tangent to the circle `x^(2)+y^(2)-4x+4y=0` at the origin, then the coordinates of B, are

A

(5, -2)

B

(1, 5)

C

(5, 2)

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touch...

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  2. the length of the chord of the circle x^(2)+y^(2)=25 passing through ...

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  3. If the points A(2, 5) and B are symmetrical about the tangent to the c...

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  4. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

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  5. Prove that the maximum number of points with rational coordinates on a...

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  6. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

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  7. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

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  8. The number of points on the circle 2(x^(2)+y^(2))=3x which are at a di...

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  9. A ray of light incident at the point (-2, -1) gets reflected from the ...

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  10. The point on the straight line y = 2x + 11 which is nearest to the cir...

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  11. Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The eq...

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  12. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

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  13. The angle of intersection of the circles x^(2)+y^(2)=4 and x^(2)+y^(2...

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  14. The normal at the point (3, 4) on a circle cuts the circle at the poin...

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  15. The inverse point of (1, -1) with respect to x^(2)+y^(2)=4, is

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  16. A variable circle passes through the fixed point (2, 0) and touches y-...

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  17. The radius of the circle r^(2)-2sqrt(2r) (cos theta + sin theta)-5=0, ...

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  18. A straight line of length 9 units slides with ends A, B always on x an...

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  19. The radius of the larger circle lying in the first quadrant and touchi...

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  20. A line is at a distance 'c' from origin and meets axes in A and B. The...

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