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AP EAMCET · Maths · Three Dimensional Geometry

If a line makes angles tan-17, tan-153 with X -axis and Y -axis respectively, then the angle made by it with Z -axis is

  1. A π2
  2. B π6 or 5π6
  3. C π3 or 2π3
  4. D π4 or 3π4
Verified Solution

Answer & Solution

Correct Answer

(D) π4 or 3π4

Step-by-step Solution

Detailed explanation

We know that, if a line makes an angle α, β & γ with positive direction of X-axis, Y-axis & Z-axis then cos2α+cos2β+cos2γ=1  ..i Now, given angles are α=tan-17 and β=tan-153. Then,…