cosec² θ + sec² θ is equal to :

1. tan² θ + cot² θ

2. cot θ + tan θ

3. (cot θ + tan θ)²

4. 1

Given a = 3 sec² θ and b = 3 tan² θ - 2. The value of (a - b) is :

1. 1

2. 2

3. 3

4. 5

A man standing on a ship approaching the port towards the lighthouse is observing the top of the lighthouse. In 10 minutes, the angle of elevation of the top of the lighthouse changes from α to β. Then :

1. α > β

2. α < β

3. α = β

4. α ≤ β

Assertion (A) : The difference in class marks of the modal class and the median class of the following frequency distribution table is 0.

Reason (R) : Modal class and median class are always the same for a given frequency distribution.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. Both A and R are true.