JEE Main 2019 Mathematics question
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.