A tower ABCD stands on a level ground with foot A . At a point P on the ground, the portion AB,AC and AD subtends angles α,β and γ respectively. If AB=a,AC=b,AD=c,AP=x and α+β+γ=180° , then (a+b+c)x2=

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

abc

1abc

a + b - c

a - b - c

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

From, ΔPAB,tanα=ax From, ΔPAC,tanβ=bx From, ΔPAD,tanγ=cx Given α+β+γ=180⇒tanα+tanβ+tanγ=tanαtanβtanγ⇒ax+bx+cx=abcx3⇒(a+b+c)x2=abc

Watch 3-min video & get full concept clarity