Which of the following equations represents a line passing through origin ?

1. 3x - 2y + 5 = 0

2. 2x - 3y = 0

3. x = 5

4. y = -6

For the given 25 variables :

x₁, x₂, x₃, ……………., x₂₅.

Assertion (A) : To find the median of the given data, the variate needs to be arranged in ascending or descending order.

Reason (R) : The median is the central most term of the arranged data.

1. A is true, R is false

2. A is false, R is true

3. both A and R are true

4. both A and R are false

In a recurring deposit account for 2 years, the total amount deposited by a person is ₹ 9600. If the interest earned by him is one-twelfth of his total deposit, then find :

(a) the interest he earns

(b) his monthly deposit

(c) the rate of interest

Find :

(a) (sin θ + cosec θ)²

(b) (cos θ + sec θ)²

Using the above results prove the following trigonometry identity :

(sin θ + cosec θ)² + (cos θ + sec θ)² = 7 + tan² θ + cot² θ