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MHT CET20226 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

A line makes the same angle ' ' with each of the x and y axes. If the angle ' ', which it makes with the z-axis, is such that ^2 =2 ^2 , then the angle is

Options

  1. A( 6 )
  2. B( 4 )
  3. C( 2 )
  4. D( 3 )

Correct answer

B. ( 4 )

Step-by-step solution

Direction cosines of the line are ^2 + ^2 + ^2 =1 aligned & ^2 + ^2 +1- ^2 =1 & ^2 + ^2 +1-2 ^2 =1 & 1- ^2 +1- ^2 +1-2 ^2 =1 & ^2 = 1 2 = ^2 4 & = 4 aligned

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