JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

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Analyzing +4 | -1

Let

p, q, r

be distinct positive numbers. Three lines

p x+q y+r=0, q x+r y+p=0

and

r x+p y+q=0

are concurrent, if

View answer and explanation

Correct option: C

p^3+q^3+r^3=3 p q r

Option C (

p^3+q^3+r^3=3 p q r

) is correct because the concurrency condition simplifies to this relationship, which is equivalent to

p+q+r=0

p=q=r

. Since p, q, r are distinct,

p+q+r=0

must hold.

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