If sides AB, BC and CA of a triangle ABC are represented by

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

If sides AB, BC and CA of a triangle ABC are represented by x+2=0x+2=0 , 3x+y=03x+y=0 and x+3y+2=0x+3y+2=0 respectively, then identify the correct statement. (1) ∑tan⁡A=43\sum \tan A = \frac{4}{3} (2) ∏tan⁡A=−43\prod \tan A = -\frac{4}{3} (3) ∑tan⁡Atan⁡B=−419\sum \tan A \tan B = -\frac{41}{9} (4) sin⁡2(A+B)+cos⁡2C=54\sin^2(A+B) + \cos^2 C = \frac{5}{4}

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