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MHT CET · Maths · Three Dimensional Geometry

Let the line \(\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}\) lie in the plane \(x+3 y-\alpha z+\beta=0\), then the value of \((\beta-\alpha)\) is equal to

  1. A \(1\)
  2. B \(13\)
  3. C \(7\)
  4. D \(-6\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(13\)

Step-by-step Solution

Detailed explanation

\( (3)(1)+(-5)(3)+(2)(-\alpha)=0 \) \( 3-15-2\alpha=0 \)
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