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The point (sintheta, costheta). theta be...

The point `(sintheta, costheta). theta` being any real number, die inside the circle `x^2+y^2-2x-2y+lambda=0` if

A

`lambda lt 1 + 2 sqrt(2)`

B

`lambda gt 2 sqrt(2)-1`

C

`lambda lt -1 -2 sqrt(2)`

D

`lambda gt 1 + 2 sqrt(2)`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

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

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

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

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

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  6. IF (alpha, beta) is a point on the chord PQ of the circle x^(2)+y^(2)=...

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

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  8. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

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  9. The abscissa of the two points A and B are the roots of the equation x...

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  10. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

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  11. if y = mx is a chord of a circle of radius a and the diameter of the c...

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  12. 18. The straight lines joining the origin to the points of intersectio...

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  13. Find the locus of the point of intersection of tangents to the circle ...

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  14. If the chord of contact of tangents from a point (x1, y1) to the circl...

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  15. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

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  16. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

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  17. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

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  18. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

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  19. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

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  20. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

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