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If the equation of a given circle is `x^2+y^2=36 ,` then the length of the chord which lies along the line `3x+4y-15=0` is `3sqrt(6)` 2. `2sqrt(3)` 3. `6sqrt(3)` 4. none of these

A

`3sqrt(6)`

B

`2sqrt(3)`

C

`6sqrt(3)`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

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  2. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

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

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  4. Find the angle which the common chord of x^2+y^2-4x=0 and x^2+y^2=16 s...

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

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

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  7. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

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

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

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

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  11. The distance between the chords of contact of tangents to the circle x...

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

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

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

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

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

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

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  20. A B is a diameter of a circle and C is any point on the circle. ...

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