MereTeacher

JEE • NEET • FOUNDATION

JEE Previous Year Question

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

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

A $ab' + bc' + 1 = 0$
B $bb' + cc' + 1 = 0$
C $cc' + a + a' = 0$
D $aa' + c + c' = 0$

Correct answer: D

Solution

(d) Sol. Given lines \frac{x - b}{a} = \frac{y}{1} = \frac{z - d}{c} and \frac{x - b ^{'}}{a ^{'}} = \frac{y - d ^{'}}{c ^{'}} = \frac{z}{1} which are ⊥ to each other \Rightarrow aa' + c' + c = 0

More Vector Algebra PYQs

$If the volume of the tetrahedron formed by the coterminous edgcs a, b and c is 4 , then the volume of the parallelopip\dots$
$The set of all α, for which the vectors a = αt i + 6 j - 3 k and b = t i - 2 j - 2 αt k are inclined at an obtuse angle\dots$
$Let a, b, c be three-unit vectors satisfying\dots$
$Let a = i + x j + k, b = i + j + k, and | a + b | = | a | + | b | then$
$If cos α, cos β, cos γ are the direction cosines of a ve\dots$