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The intercept on the line y=x by the circle `x^(2)+y^(2)-2x=0` is AB. Equation of the circle on AB as a diameter is

A

`x^(2)+y^(2)+x+y=0`

B

`x^(2)+y^(2)=x+y`

C

`x^(2)+y^(2)-3x+y=0`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Chapter Test
  1. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

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  2. The angle between the pair of tangents from the point (1, 1/2) to the...

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  3. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Eq...

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  4. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  5. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  6. Two tangents to the circle x^(2) +y^(2) = 4 at the points A and B meet...

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  7. A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touch...

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The normal at the point (3,4) on a circle cuts the circle at the poins...

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