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The locus of the centres of the circles ...

The locus of the centres of the circles which touch `x^2+y^2=a^2` and `x^2+y^2=4ax, externally

A

`12(x-a)^(2)-4y^(2)=3a^(2)`

B

`9(x-a)^(2)-5y^(2)=2a^(2)`

C

`8x^(2)-3(y-a)^(2)=9a^(2)`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The distance between the chords of contact of tangents to the circle x...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The equation of the circle which passes through (2a, 0) and has the ra...

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

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

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

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