JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

The line

x=a y+b, z=c y+d

and

x=a^{\prime} y+b^{\prime}, z=c^{\prime} y+d^{\prime}

are perpendicular if-

View answer and explanation

Correct option: D

{aa}^{\prime}+{cc}^{\prime}+1=0

Option D (

{aa}^{\'}+{cc}^{\'}+1=0

) is correct because the lines are perpendicular if the dot product of their direction ratios is zero, leading to the given condition.

More Questions from PAIR OF STRAIGHT LINES

Practice All Chapter MCQs →

a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

(-1,3)

y=2 x

a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

y

4 x^2+2 \lambda x y-7 y^2=0

\lambda

3 x^2+2 h x y+3 y^2=0

h

3 x^2-3 h x y+4 y^2=0