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MHT CET · Maths · Three Dimensional Geometry

The equation of the plane containing the line \(\frac{x+1}{2}=\frac{y+2}{1}=\frac{z-2}{3}\) and the point \((1,-1,3)\) is

  1. A \(x-2 y-3=0\)
  2. B \(2 x+y-1=0\)
  3. C \(3 x-2 z+3=0\)
  4. D \(2 x-y-z=0\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(x-2 y-3=0\)

Step-by-step Solution

Detailed explanation

Point on line: \(P_0(-1, -2, 2)\) Direction vector of line: \(\vec{d} = \langle 2, 1, 3 \rangle\)