MHT CET 2026 Mathematics question
A triangle has two fixed vertices A(a, 0) and B(0, b). Let its third vertex C is moving along the line . If s is the area of triangle ABC, then
Answer: (B)
Solution
Since C lies on , take . Area s=\frac12\left|x_A(y_B-y_C)+x_B(y_C-y_A)+x_C(y_A-y_B)\right|=\frac12\left|a(b-x)+0\cdot(x-0)+x(0-b)\right|=\frac12\left|ab-ax-bx\right|=\frac12\left|ab-(a+b)x\right|. Differentiating with respect to :
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account