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Find the locus of a point which moves so...

Find the locus of a point which moves so that the ratio of the lengths of the tangents to the circles `x^2+y^2+4x+3=0` and `x^2+y^2-6x+5=0` is `2: 3.`

A

`5x ^(2) + 5y ^(2) + 70 x - 33=0`

B

`5x ^(2) + 5y ^(2) + 60 y + 7=0`

C

`5x ^(2) + 5y ^(2) + 70 y + 33=0`

D

`5x ^(2) + 5y ^(2) + 60 x + 7=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (CONCEPT-BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. Equation of the circle passing through the origin and having its centr...

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  2. The radius of the circle 3x ^(2) + by ^(2) + 4 bx - 6by + b ^(2) =0 ...

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  3. Find the equaiton of the circle drawn on the intercept between the axe...

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  4. The point (1,2) lies inside and (3,4) outside the circle x ^(2) +y ^(2...

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  5. S: x ^(2) + y ^(2) + 6x - 14y-6 =0 is a circle and L: 7x + 3y + 58 =...

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  6. The angle between the two tangents from the origin to the circle (x-7)...

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  7. A line passes through the point P (5,6) outside the circle x^(2) + y ^...

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  8. The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touc...

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  9. Two circles of equal radius of 5 units have their centres at the origi...

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  10. Two circle touch each other externally at the point (0,k) and y-axis i...

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  11. A circle has radius 3u n i t s and its centre lies on the line y=x-1. ...

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  12. The line 3x -y -17=0 meets the circle x ^(2) +y ^(2) -8x+ 10 y + 5=0 a...

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  13. A circle passes through the origin and has its center on y=x If it cut...

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  14. Equation of the circle on the common chord of the circles x ^(2) + y ^...

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  15. A circle touches the lines x-y- 1 =0 and x -y +1 =0. the centre of the...

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

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  17. If the circle (x-2) ^(2) + (y -3) ^(2)=a ^(2) lies entirely in the cir...

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  18. There are four circles each of radius 1 unit touching both the axis. T...

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  19. Find the locus of a point which moves so that the ratio of the lengths...

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  20. A circle has two of its diameters along the lines 2x + 3y - 18 =0 and ...

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