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Find the angle which the common chord of...

Find the angle which the common chord of `x^2+y^2-4x-4y=0` and `x^2+y^2=16` subtends at the origin.

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

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  2. If the equation of a given circle is x^2+y^2=36 , then the length of t...

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  3. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

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  4. Show that the equation of the circle passing through (1, 1) and the ...

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  5. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  6. Find the equation of a circle with center (4, 3) touching the circle x...

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  7. Find the number of common tangents that can be drawn to the circles...

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  8. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  9. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

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  10. about to only mathematics

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  11. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

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  12. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

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  13. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

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  14. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

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  15. A line meets the coordinate axes at A and B . A circle is circumscribe...

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

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

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

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

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