Question 14 If the angles of βABC are in ratio 1 : 1 : 2, respectively (the largest angle being angle C), then the value of (π ππ π΄)/(πππ ππ π΅)βtanβ‘π΄/cotβ‘π΅ is : (a) 0 (b) 1/2 (c) 1 (d) β3 /2
Since angles are in ratio 1 : 1 : 2
Let angles be
β A = x
β B = x
β C = 2x
Now,
In Ξ ABC
By Angle sum property
β A + β B + β C = 180Β°
x + x + 2x = 180Β°
4x = 180Β°
x = (180Β° )/4
x = 45Β°
Thus,
β A = x = 45Β°, β B = x = 45Β° , β C = x = 90Β°
Now,
(π ππ π΄)/(πππ ππ π΅)βtanβ‘π΄/cotβ‘π΅
= (πππ ππΒ° )/(πππππ ππΒ°)βπππβ‘γππΒ°γ/πππβ‘γππΒ° γ
= β2/β2β1/1
= 1 β 1
= 0
So, the correct answer is (a)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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