If the perimeter and the area of a circle are numerically equal, then find the radius of the circle.

The cost of fencing a circular field at the rate of Rs.24 per metre is Rs. 5280. Find the radius of the field.

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground where it makes an angle 30°. The distance between the foot of the tree to the point where the top touches the ground is 8m. Find the height of the tree from where it is broken.

Write the empirical relationship among mean, median and mode.

For what values of p does the pair of equations 4x + py + 8 = 0 and 2x + 2y + 2 = 0 has unique solution?

OR

What type of straight lines will be represented by the system of equations 2x + 3y = 5 and 4x + 6y = 7?