Q88 / 155 · WBJEE 2023 · Mathematics

The angle between a normal to the plane \(2 x-y+2 z-1=0\) and the X-axis is

  • Correct answer
    A
    \(\cos ^{-1} \frac{2}{3}\)
  • B
    \(\cos ^{-1} \frac{1}{5}\)
  • C
    \(\cos ^{-1} \frac{3}{4}\)
  • D
    \(\cos ^{-1} \frac{1}{3}\)

Solution

Hint: Normal : 2, -1, 2 \(\text {X-axis : } 1,0,0\) \(\therefore \theta=\cos ^{-1} \frac{2}{3}\)

Hence, the correct answer is option: 'A'.

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