Question 14 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards
Last updated at Sept. 6, 2021 by Teachoo
If the angles of βABC are in ratio 1 : 1 : 2, respectively (the largest angle being angle C), then the value ofΒ (sec A)/(cosec B)-tanβ‘A/cotβ‘B Β is :
(a) 0 Β (b) 1/2Β (c) 1 Β (d) β3Β /2
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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)
Made by
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.
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