Verified Solution • 2025–26 Session moderate

QJEEM19Ma2f1b: JEE Main 2019 Mathematics - Class 12 JEEM19Ma2f1b Solution: A 2 m ladder leans against a vertical wall. If the top of the…

A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 cm/sec, then the rate (in cm/sec.) at which the bottom of the ladder slides away from the wall on the horizontal ground when the top of the ladder is 1 m above the ground is :

Multiple Choice Options

  • A 253
  • B 25
  • C 253
  • D 253

Step-by-Step Verified Solution

JEE Main 2019 (Online) 12th April Morning Slot Mathematics - Application of Derivatives Question 143 English Explanation
x2 + y2 = 4 ⇒ 2xdxdt+2ydydt=0

⇒dxdt=−yx.dydt

When upper end is 1m above the ground, dxdt=−13.25=−253 cm/sec.

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