3D Geometry: If the lines x=ay+b , z=cy+d and x=a'z+b' , y=c'z+d' are… | JEE Main 2019 | Yukti Vault

Yukti Vault

JEE Main 2019 (Online) 9th January Evening ShiftQuestion 1

If the lines $x=ay+b$, $z=cy+d$ and $x=a'z+b'$, $y=c'z+d'$ are perpendicular, then

3D Geometry

$cc'+a+a'=0$$aa'+c+c'=0$✓ Correct answer$bb'+cc'+1=0$$ab'+bc'+1=0$

Solution

Directions: $(a,1,c)$ and $(a^\prime,c^\prime,1)$. Perpendicular: $aa^\prime+c^\prime+c=0$.

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