Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

If in general quadratic equation f(x,y) = 0, ∆ = 0 and a + b = 0, then the equation represents

1) Two parallel straight lines

2) Two perpendicular straight lines

3) Two lines passing through the origin

4) None of these

Solution:

Given f(x,y) = 0

∆ = 0

=> It represents a pair of straight lines.

Also given a + b = 0

=> Given lines are perpendicular.

So the equation represents two perpendicular straight lines.

Hence option (2) is the answer.

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