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The circles x^(2)+y^(2)-10x+6=0andx^(2)+...

The circles `x^(2)+y^(2)-10x+6=0andx^(2)+y^(2)=r^(2)` intersect each other in two distinct points if

A

`r lt 2`

B

`r gt 8`

C

`2 lt r lt 8`

D

`2 le r le 8`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. Find the equation of the circle which touches both the axes and the ...

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  2. The slope of the tangent at the point ( h,h ) of the cirlce x^(2) +y^(...

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  3. The circles x^(2)+y^(2)-10x+6=0andx^(2)+y^(2)=r^(2) intersect each oth...

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  4. The locus of the center of the circle which touches the circle x^(2)+y...

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

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

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  7. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  8. The equation of the circle described on the common chord of the circle...

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  9. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

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  10. A circle passes through the origin and has its center on y=x If it cut...

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  11. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

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  12. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

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  13. A circle touches the x-axis and also touches the circle with center (0...

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  14. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

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  15. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

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  16. The point (sintheta, costheta). theta being any real number, die insid...

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  17. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

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  18. The range of values of a for which the point (a, 4) is outside the cir...

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  19. about to only mathematics

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  20. If the point (lambda,lambda+1) lies inside the region bounded by the c...

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