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Balaji Lal Setty
Asked: 2022-10-31T01:54:29+05:30 In:

The base BC of `DeltaABC` is fixed and the vertex A moves, satisfying the condition `cot.(B)/(2) + cot.(C)/(2) = 2 cot.(A)/(2)`, then
A. `b + c = a`
B. `b + c = 2a`
C. vertex A moves along a straight line
D. vertex A moves along an ellipse

The base BC of `DeltaABC` is fixed and the vertex A moves, satisfying the condition `cot.(B)/(2) + cot.(C)/(2) = 2 cot.(A)/(2)`, then
A. `b + c = a`
B. `b + c = 2a`
C. vertex A moves along a straight line
D. vertex A moves along an ellipse
Parabola
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1 Answer

  1. Correct Answer – B::D
    Given `(s(s-b))/(Delta) + ((s-c))/(Delta) = (2s(s-a))/(Delta)`
    `rArr s-b + s – c = 2 (s-a)`
    `rArr b+c = 2a`
    So, locus of vertex A is an ellipse

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