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Prove that the maximum number of points ...

Prove that the maximum number of points with rational coordinates on a circle whose center is `(sqrt(3),0)` is two.

A

one

B

two

C

four

D

infinite

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Chapter Test
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  2. The equation of the circle of radius 2 sqrt(2) whose centre lies on th...

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

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

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

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

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

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

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

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

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

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

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

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  14. A variable circle passes through the point A(a,b) and touches the x-a...

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

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  16. A straight rot of length 9 units slides with its ends A,B always on th...

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  17. Find in-radius of the triangle formd by the axes and the line 4x+3y-12...

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

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  19. The number of circles that touch all the straight lines x+y-4=0, x-y+2...

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  20. Find the number of integral values of lambda for which x^2+y^2+lambdax...

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