Q58 / 150 · MHT CET 2016 · Mathematics

Direction cosines of the line x+22=2y-53,z=-1 are _______

  • Correct answer
    A
    45,35,0
  • B
    35,45,15
  • C
    -35,45,0
  • D
    45,-25,15

Solution

Any line contained in a plane is perpendicular to the normal of the plane
⇒ The direction ratios of given line
x+2 2 = 2y−5 3 ⇔3x−4y+16=0,
z=−1⇔z+1=0
i^j^k^340001=4 i ^-3j^
⇒ direction cosines are ± (45, 35, 0)
 

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

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