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The locus of the point which divides the...

The locus of the point which divides the join of `A(-1, 1)` and a variable point P on the circle `x^2 +y^2 = 4` in the ratio `3 : 2` is

A

`(2//5,2//5)`

B

`(-2//5,2//5)`

C

`(2//5,-2//5)`

D

`(-5//14,5//14)`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. If a circle passes through the points of intersection of the coordinat...

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  2. If a square with length of each side equal to a is inscribed in the ci...

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  3. The locus of the point which divides the join of A(-1, 1) and a varia...

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  4. If (alpha, beta) are the roots of the equation 15 x ^(2) - 22 x + 8=0 ...

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  5. (iii)If two circles cut a third circle orthogonally; then the radical ...

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  6. If a circle of constant radius 3k passes through the origin O and meet...

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  7. The locus of a point which moves such that the sum of the squares of t...

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  8. The tangents to the circle x ^(2) + y ^(2) = 48, which are inclined at...

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  9. Show that the circle on the chord xcosalpha+ ysinalpha-p = 0 of the ci...

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  10. The locus of a point which moves in a plane so that the sum of the squ...

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  11. Two circles are such that one is inscribed in and the other is circums...

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  12. Two tangents T (1) , T (2) as a pair of tangents from (-2, 0) and rad...

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  13. Find the locus of the point of intersection of tangents to the circle ...

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  14. The locus of the centers of the circles which cut the circles x^(2) + ...

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  15. An equation of the tangent at the point (5,2) of a circle is given by ...

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  16. A circle passes through the origin O and cuts the axes at A (a,0) and ...

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  17. If a circle cuts x ^(2) + y ^(2) =a ^(2) orthogonally and passes throu...

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  18. Two circles intersect at the point P (2,3) and the line joining the ot...

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  19. A system of circles is draen through two fixed points (-1,0) and (1,0)...

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  20. Find the radius of the smalles circle which touches the straight line ...

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