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If 3x+y=0 is a tangent to a circle whose...

If `3x+y=0` is a tangent to a circle whose center is `(2,-1)` , then find the equation of the other tangent to the circle from the origin.

A

`x-3y=0`

B

`x+3y=0`

C

`3x-y=0`

D

`2x+y=0`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. Equation of a circle with centre(4,3) touching the circle x^2+y^2=1

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

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

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

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

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

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

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

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

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

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

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

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  15. The locus of the mid point of a chord of the circle x^2+y^2=4 which su...

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

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

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  18. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

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

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

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