JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

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Understanding +4 | -1

u=a_1 x+b_1 y+c_1=0, v=a_2 x+b_2 y+c_2=0

and

\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}

, then

u+k v=0

represents

View answer and explanation

Correct option: B

a family of parallel line

Option B (a family of parallel line) is correct because the condition

\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}

indicates that the lines are parallel, and

u+kv=0

represents a family of lines parallel to them.

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