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The locus of a point which moves such th...

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:

A

incentre of the triangle

B

circumcentre of the triangle

C

orthocentre of the triangle

D

centroid of the triangle

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. (iii)If two circles cut a third circle orthogonally; then the radical ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The area of the smaller portion of the circle x^2+y^2=4 cut off the l...

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  18. Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to...

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  19. The chord along the line y-x=3 of the circle x^2 + y^2 = k^2, subtends...

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  20. (C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...

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