Examine the following three lines written in general form: L_1: 2x-5y+3=0, L_2:…

MATHEMATICS · Subjective · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Examine the following three lines written in general form: L1:2x−5y+3=0,L2:10x−25y−4=0,L3:5x+2y−11=0.L_1: 2x-5y+3=0,\qquad L_2: 10x-25y-4=0,\qquad L_3: 5x+2y-11=0. (i) Identify all pairs of these lines that are parallel, giving reasons. (ii) Identify all pairs of these lines that are perpendicular, giving reasons. (iii) For any pair of lines among L1,L2,L_1, L_2, and L3L_3 that are neither parallel nor perpendicular, calculate the acute angle between them.

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