Q. 1. Solve for x and y :
31x + 29y = 33, 29x + 31y = 27
Q. 2. In Figure 2, incircle of ABC touches its sides AB, BC and CA at D, E and F respectively. If AB = AC, prove that BE = EC.
Q. 3. In ABC, AD BC and AD2 = BD.DC. Prove that BAC is a right angle.
Q. 4. If the mean of the following frequency distribution is 49, find the missing frequency p :
Q. 5. Evaluate without using trigonometric tables :
