The arithmetic mean of the following frequency distribution of number of members in family in the society

                X:            3              5              6              8              9              10

Frequency:         1              4              2              1              3              2

is

If I is the incentre of ΔABC , if  ∠ BAC = 65⁰ , then what is the measure of  ∠ BIC?

The 2^nd approximation to a root of the equation x2-x-1-0 in the interval (1, 2) by Bisection method will be:

The area of the largest triangle inscribed in a semi-circle of radius R is-

A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?

If two complementary angles are in the ratio of 7:2, find the greater angle.

If O is circumcentre of acute angled triangle ABC, if ∠  BOC = 100˚  then  ∠ BAC = ?

∆ ABC is similar to ∆ DEF. If area of ∆ABC is 9 sq.cm and area of ∆DEF is 16 sq.cm and BC = 2.1 cm. Then the length of EF will be