Equation of any plane containing the line is

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Equation of any plane containing the line x−x1a=y−y1b=z−z1c\frac{x - x_1}{a} = \frac{y - y_1}{b} = \frac{z - z_1}{c} is A(x−x1)+B(y−y1)+C(z−z1)=0A(x - x_1) + B(y - y_1) + C(z - z_1) = 0 , then pick correct alternatives (1) Aa=Bb=Cc\frac{A}{a} = \frac{B}{b} = \frac{C}{c} is true for the line to be perpendicular to the plane (2) A(a+3)+B(b−1)+C(c−2)=0A(a + 3) + B(b - 1) + C(c - 2) = 0 (3) 2aA+3bB+4cC=02aA + 3bB + 4cC = 0 (4) Aa+Bb+Cc=0Aa + Bb + Cc = 0

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