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A point moves such that the sum of the s...

A point moves such that the sum of the squares of its distances from the sides of a square of side unity is equal to 9, the locus of such point

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A point moves such that the sum of the squares of its distances from the two sides of length a of a rectangle is twice the sum of the squares of its distances from the other two sides of length b.The locus of the point can be:

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Find the locus a point which moves in such a way that the sum of squares of its distances s from the four sides of a square is constant. Does it represent a circle?

Prove that the locus of the point that moves such that the sum of the squares of its distances from the three vertices of a triangle is constant is a circle.

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

The locus of a point which moves such that the sum of the squares of the distances from the three vertices of a triangle is constant, is a circle whose centre is at the:

Prove that the locus of a point which moves such that the sum of the square of its distances from the vertices of a triangle is constant is a circle having centre at the centroid of the triangle.

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A DAS GUPTA-Circles-EXERCISE
  1. From a point P, tangents drawn to the circle x^2 + y^2 + x-3=0, 3x^2 +...

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  2. Let A = (-2,0) and B = (1,0) and P is a variable point such that /APB ...

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  3. A point moves such that the sum of the squares of its distances from t...

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  4. Two rods of lengths aa n db slide along the x- and y-a xi s , respecti...

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  5. A variable circle passes through the point P (1, 2) and touches the x-...

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  6. From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is d...

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  7. From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1. The...

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  8. A circle of radius 'r' passes through the origin O and cuts the axes a...

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  9. A circle of radius r passes through the origin O and cuts the axes at ...

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  10. Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2...

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  11. Let A be one point of intersection of two intersecting circles with ce...

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  12. Prove that the locus of a point which moves such that the sum of th...

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  13. The tangent at any point P on the circle x^2 + y^2 = 2 cuts the axes i...

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  14. A triangle has two of its sides along the axes, its third side touches...

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  15. The locus of the perpendiculars drawn from the point (a, 0) on tange...

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  16. Let S-=x^2+y^2+2gx+2f y+c= be a given circle. Find the locus of the fo...

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  17. Show that the locus of points from which the tangents drawn to a circl...

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

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  19. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

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

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