Write a difference between the geometric angle and trigonometrical angle.

Express 22°30' in radians

State True or False: The hour hand of a clock rotates through an angle radian in 2 hours.

Two unequal arcs of ratio 5 : 2 of a circle subtend angle at the centre. If the second angle is 30°, find the first angle in circular measure.

The difference of acute angles of a right angled triangle is 72°. Determine these acute angles in circular measure

The fourth term of a Geometric Progression (G.P.) is 16 and its seventh term is 128. Find its: (a) common ratio (b) first term

Rohit and Vinay both opened a recurring deposit account in a bank for 2 years at 8% simple interest. Vinay deposited ₹ 300 per month. On maturity, Rohit’s interest was ₹ 800 more than Vinay’s interest. Find: (a) interest earned by Vinay. (b) sum deposited by Rohit every month.

Kabir bought 120 shares of a company with nominal value ₹100, available at a premium of ₹25. Find: (a) the money invested by Kabir in buying these shares. (b) the rate of dividend, if he received ₹1,080 as dividend from these shares after one year. (c) his rate of return.

If x = , a ≠ b, (a) Find: (b) Using properties of proportion, find:

Solve the following inequation, write the solution set and represent it on the real number line. −1 < − ≤ 1, x ∈ R

A survey was conducted on 300 families having 2 children each. The results obtained are given below. Number of girl child Number of families 2 95 1 165 0 40 Total 300 If one family is selected at random, find the probability that it will have: (a) one girl child (b) one or more girl child (c) no boy child

Use the following graph and answer the given questions : (a) Write the co-ordinates of points A, B and C. (b) Find the equation of a line passing through the mid-point of AC and parallel to AB.