JEE Main 2019 Mathematics question

MathematicsCircleJEE Main 2019

The straight line x + 2y = 1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then the sum of perpendicular distances from A and B on the tangent to the circle at the origin is:

Answer: (B)

Solution

Circle ; tangent 2x + y = 0; distances 2/√5 + (1/2)/√5 = √5/2.

Question ID VK-010542