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KCET2020MathematicsLinear Programming

The sine of the angle between the straight line x-2 3 = 3-y -4 = z-4 5 and the plane 2 x-2 y+z=5 is

Options

  1. A3 30
  2. B3 50
  3. C4 5 2
  4. D2 10

Correct answer

D. 2 10

Step-by-step solution

Given straight line x-2 3 = y-3 4 = z-4 5 and plane 2 x-2 y+z=5 Let be the angle between line and plane then aligned &= | 3 2+(4)(-2)+5 1 (3)²+(4)²+(5)² (2)²+(-2)²+(1)² | &= | 6-8+5 9+16+25 4+4+1 | &= | 3 50 9 |= 1 5 2 = 2 10 aligned

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