JEE Main 2019 Mathematics question

MathematicsStraight LinesJEE Main 2019

If the line 3x + 4y − 24 = 0 intersects the x-axis at the point A and the y-axis at the point B, then the incentre of the triangle OAB, where O is the origin, is:

Answer: (B)

Solution

Right triangle with legs 8, 6, hypotenuse 10: r = (8 + 6 − 10)/2 = 2.

Question ID VK-010732