Q66 / 150 · MHT CET 2017 · Mathematics

The equation of line equally inclined with the positivie co-ordinate axes and passing through ( −3,2,−5 ) is

  • Correct answer
    A
    x+31=y-21=z+51
  • B
    x+3-1=y-21=5+z-1
  • C
    x+3-1=y-21=z+51
  • D
    x+3-2=2-y1=z+5-1

Solution

Equation of line passing through x1,y1,z1 and having d.c.s.l,m, n is
x-x1l=y-y1m=z-z1n
Here (x1,y1,z1)≡-3, 2,-5
Also line is equally inclined with the positive co-ordinate axes.
∴  l=1, m=1,n=1
∴   Equation of line is x+31=y-21=z+51

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

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