Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. if the area of the triangle OPQ is least, then the slope of the line PQ is :
A
– 
B
– 4
C
– 2
D
– 
Text Solution
Verified by ExpertsThe correct answer is:
C
(y – 2) = m(x – 1)
OP = 1 – 
OQ = 2 – m
Area of Δ POQ = 
(OP)(OQ) = 
(2 – m) = 
= 
For least area m = 
& m < 0 ⇒ m = –2
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