Q.

Which of the following is/are true?

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a

The equation of the perpendicular line from origin to the line  x+2y+3z+4=0=2x+3y+4z+5 is x2=y1=z4

b

Foot of perpendicular from origin to the line x+2y+3z+4=0=2x+3y+4z+5 is (23,13,43)

c

The equation of the perpendicular line  from origin to the line  x+2y+3z+4=0=2x+3y+4z+5 is 3x+2y+z=0=x2y+z

d

Foot of perpendicular from origin to the line x+2y+3z+4=0=2x+3y+4z+5 is (23,+13,43)

answer is A, D.

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Detailed Solution

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(x+2y+3z+4)+λ(2x+3y+4z+5)=0 passes through origin 3x+2y+z=0=x2y+z as i^j^k^123234=i^+2j^k^ line eqn is x2=y1=z4

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