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If the angle of intersection of the circ...

If the angle of intersection of the circle `x^2+y^2+x+y=0` and `x^2+y^2+x-y=0` is `theta` , then the equation of the line passing through (1, 2) and making an angle `theta` with the y-axis is `x=1` (b) `y=2` `x+y=3` (d) `x-y=3`

A

`pi//6`

B

`pi//4`

C

`pi//3`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. A line meets the coordinate axes at A and B . A circle is circumscribe...

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  2. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

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  3. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

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  4. Find the equation of the circle whose radius is 5a n d which touches t...

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  5. If AB is a diameter of a circle and C is any point on the circle, then...

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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. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

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  8. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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  9. If the straight line x=2y+1=0 intersects the circle x^2+y^2=25 at poin...

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  10. If the chord of contact of the tangents drawn from the point (h , k) t...

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  11. Find the equation of the circle which cuts the three circles x^2+y^2-3...

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  12. The equation of a circle which passes through (2a, 0) and whose radica...

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  13. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  14. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  15. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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  16. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

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  17. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  18. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

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  19. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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  20. Equation of the circle through the origin and making intercepts of 3 a...

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