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A point moves so that the sum of squares...

A point moves so that the sum of squares of its distances from the points (1, 2) and (-2, 1) is always 6. Then its locus is

A

the straight line y -3/2= -3(x+1/2)

B

a circle with centre (-1/2,3/2) and radius `sqrt2`

C

a parabola with focus (1, 2) and directix passing through (-2, 1)

D

an ellipse with foci (1, 2) and (-2, 1)

Text Solution

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The correct Answer is:
B
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PATHFINDER-CIRCLE-QUESTION BANK
  1. The circle passing through (1, - 2) and touching the axis of x at (3, ...

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  2. A point P lines on the circle x^2+y^2=169. If Q = (5, 12) and R= (-12,...

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  3. A circle passing through (0, 0), (2, 6), (6, 2) cuts the x-axis at the...

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  4. A point moves so that the sum of squares of its distances from the poi...

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  5. If one end of a diameter of the circle x^2+y^2-4x-6y+11=0 is (3, 4) th...

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  6. The equation of the circle passing through the point (1, 1) and the po...

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  7. The equations of the circles which touch both the axes and the line 4x...

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  8. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

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  9. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

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  10. The length of the diameter of the circle which touches the x-axis at t...

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  11. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

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  12. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

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  13. The incentre of an equilateral triangle is ( 1, 1) and the equation of...

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  14. The circle passing through (-1, 0) and touching the y - axis at (0, 2)...

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  15. The straight line 2x - 3y = 1 divides the circular region x^2+y^2le6 i...

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  16. The two circles x^2+y^2=ax and x^2+y^2=c^2 (cgt0) touch each other if

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  17. If the straight line y = mx is outside the circle x^2+y^2-20y+90=0, th...

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  18. The locus of the centre of a circle which passes through two variable ...

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  19. The intercept on the line y = x by the circle x^2+y^2-2x=0 is AB. Equ...

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  20. If the coordinates of one end of a diameter of the circle x^2+y^2+4x-...

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