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The angle of intersection of the circle...

The angle of intersection of the circles `x^(2)+y^(2)=4` and `x^(2)+y^(2)+2x+2y`, is

A

`pi//2`

B

`pi//3`

C

`pi//6`

D

`pi//4`

Text Solution

Verified by Experts

The correct Answer is:
D
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OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The eq...

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

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

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

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

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

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

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

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

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

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

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

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  13. Show that the four points of intersection of the lines : (2x-y + 1) (x...

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  14. If 2x+3y-6=0 and 9x+6y-18=0 cuts the axes in concyclic points, then th...

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  15. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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

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  17. PQ is a chord of the circle x^(2)+y^(2)-2x-8=0 whose mid-point is (2, ...

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  18. The number of circles belonging to the system of circles 2(x^(2)+y^(2)...

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  19. The equation of the circle passing through (0, 0) and belonging to the...

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  20. If (-1/3,-1) is a centre of similitude for the circles x^2+y^2=1 and x...

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