First slide

Equation of line in Straight lines

Question

Let P(2, 0) and Q(0, 2) be two points and O be the origin. If A(x, y) is a point such that xy > 0 and x + y < 2, then

Moderate

A

A cannot be inside the $∆$ OPQ
B

A lies outside the $∆$ OPQ
C

A lies either inside $∆$ OPQ or in the third quadrant
D

none of these

Solution

Since xy > 0, therefore the point A lies either in the first quadrant or in the third quadrant. Since x + y < 2, therefore the point A lies either inside the $∆$ OPQ or in the third quadrant.

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