Home Maths Differentiation and Applications of Derivatives General A straight line is drawn through the point P…
Maths Differentiation and Applications of Derivatives General Single Correct MCQ
Published on: August 14, 2026

A straight line is drawn through the point P(3, 4) meeting the positive direction of coordinate axes at the points A and B. If '0' is the origin then minimum area of triangle OAB is equal to

A
12 sq. units
B
6 sq. units
C
24 sq. units
D
48 sq. units

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Text Solution

Verified by Experts
The correct answer is:
C

Let the equation of drawn line be

where a > 3, b > 4, as the line passes through (3,4) and meets the positive direction of coordinate axis. We have

⇒ ⇒ b = . Now area of triangle OAB.

Clearly a = 6 is the point of minima for Δ Δ .

Thus = 24 sq. units.

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