Verified Solution • 2025–26 Session
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QJEEM20Mac510: JEE Main 2020 Mathematics - Class 12 JEEM20Mac510 Solution: Let AD and BC be two vertical poles at A and B respectively on…
Let AD and BC be two vertical poles
at A and B respectively on a horizontal ground.
If AD = 8 m, BC = 11 m and AB = 10 m; then the distance
(in meters) of a point M on AB from the point A such
that MD2 + MC2 is minimum is ______.
at A and B respectively on a horizontal ground.
If AD = 8 m, BC = 11 m and AB = 10 m; then the distance
(in meters) of a point M on AB from the point A such
that MD2 + MC2 is minimum is ______.
Step-by-Step Verified Solution
(MD)2 + (MC)2 = h2 + 64 + (h – 10)2 + 121
= 2h2 – 20h + 64 + 100 + 121
= 2(h2 – 10h) + 285
= 2(h – 5)2 + 235
It is minimum if h = 5.