AP EAMCET · Maths · Application of Derivatives
A ladder of long rests against a vertical wall with the lower end on the horizontal ground. The lower end of the ladder is pulled along the ground away from the wall at the rate The height of the upper end (in meters) while it is descending at the rate of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
It is given that the length of the ladder is: AB=5 m From the geometry, x2+y2=52 Differentiate the above equation. 2xdydx+2ydydx=0 xdydx+ydydx=0 It is given that, dxdt=3,dydt=-4 Substitute the values in the equation I. 3 x-4 y=0 325-y2-4y=0 325-y2=4y Squaring both…
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