Page 30 - Mathematics Class - XII

Case-Study Based Questions
Case-Study Based Questions
Ram and Dhruv are standing on either side of a tree of 60 meter high Q
observed its top at the angle of elevation a and q respectively (as shown
in fig. below). The distance between the both boys is 70 3 meter and 60
the distance between the first boy ‘Ram’ and the tree is 60 3 meter.

Now read the above paragraph carefully and answer the following Ram P a q R Dhruv
questions given below. 60 3 70 3 10 3
1. The value of angle ‘a’ is

1
1
(a) sin 2 (b) sin (c) sin (2) (d) sin 3

–1
1
1

2

3 2
2. The angle ‘a’ is equal to
2
1
4
(a) cos (b) cos (c) cos 3 (d) cos
1
1
1
1

2
5
5

5
3. The value of angle ‘q’ is
1
(a) tan (b) tan 2 (c) tan 1 (d) tan( 3 )
1
1
1
−1

3
2
4. the value of angle PQR is
p p p
(a) (b) p (c) (d)
2 3 4
Assertion-Reason Based Questions
Assertion-Reason Based Questions
Directions for Questions 1 to 3: In each of the questions given below, there are two statements marked as
Assertion (A) and Reason (R). Mark your answer as per the codes provided below:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false. (d) A is false but R is true.
2 2
1
Q. 1. Assertion (A) : sin sin 3 3

Reason (R) : sin (sin q ) = q, if ,
–1

22

–1
Q. 2. Assertion (A) : Range of tan x is ,

22
Reason (R) : Domain of tan x is R
–1
Q. 3. Assertion (A) : Range of cot x is (0, p)
–1
Reason (R) : Domain of tan x is R
–1
Answers
Case-Study Based Questions: 1. (b) 2. (c) 3. (d) 4. (a)
Assertion-Reason Based Questions: 1. (d) 2. (b) 3. (b)
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