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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Analyzing +4 | -1
If a,  b,  ca,\,\,b,\,\,c denote the sides of a Δ ABC\Delta \,ABC and the equations ax2+bx+c=0a{x^2} + bx + c = 0 and x2+2x+1=0{x^2} + \sqrt 2 x + 1 = 0 have a common root, then ∠ C=\angle \,C =
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Correct option: B
45∘45^\circ
Option B (45∘45^\circ) is correct because the common root implies that the ratio of coefficients of the two equations are equal, leading to A=C=45∘A = C = 45^\circ.

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