The locus of a point which moves such that the sum of the squares of its distance from three vertices of a triangle is constant is a/an |
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a) |
Circle |
b) |
Straight line |
c) |
Ellipse |
d) |
None of these |

The locus of a point which moves such that the sum of the squares of its distance from three vertices of a triangle is constant is a/an |
|||||||

a) |
Circle |
b) |
Straight line |
c) |
Ellipse |
d) |
None of these |

1 Answer

127 votes

**(a)**

Let and be the vertices of the triangle , and let be any point on the locus

Then, (constant)

So, locus of is

Where constant

127 votes

127