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KCET2023MathematicsThree Dimensional Geometry

If a line makes an angle of 3 with each X and Y axis, then the acute angle made by Z -axis is

Options

  1. A3
  2. B2
  3. C4
  4. D6

Correct answer

C. 4

Step-by-step solution

Given, = = 3 Let acute angle made by Z -axis be . We know that aligned & ^2 + ^2 + ^2 =1 & ( 1 2 )^2+ ( 1 2 )^2+ ^2 =1 & 1 4 + 1 4 + ^2 =1 & ^2 =1- 1 2 = 1 2 & = 4 aligned [ y is acute]

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