Verified Solution • 2025–26 Session moderate

QJEEM19Maac91: JEE Main 2019 Mathematics - Class 11 JEEM19Maac91 Solution: The straight line x + 2y = 1 meets the coordinate axes at A and …

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 :

Multiple Choice Options

  • A 45
  • B 52
  • C 25
  • D 54

Step-by-Step Verified Solution

JEE Main 2019 (Online) 11th January Morning Slot Mathematics - Circle Question 123 English Explanation

Equation of circle

(x − 1) (x − 0) + (y − 0) (y − 12) = 0

⇒  x2 + y2 − x − y2 = 0

Equation of tangent of region is 2x + y = 0

ℓ1 + ℓ2 = 25+125

= 4+125=52

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring