Question

If the line $3x + 4y - 24 = 0$ intersects X and Y axes in points A and B respectively then incentre of the triangle OAB where O is origin is

• A. (4, 4)
• B. (2, 2)
• C. (3, 4)
• D. (4, 3)

Hint:

For any triangle with vertices $(x_1, y_1), (x_2, y_2), (x_3, y_3)$ and opposite sides $a, b, c$, Incentre $I = \left(\frac{ax_1+bx_2+cx_3}{a+b+c}, \frac{ay_1+by_2+cy_3}{a+b+c}\right)$.

Answer 1

The Correct Option is B