If the binomial expansion of (1 + 3x)\(^6\) is used to evaluate (0.97)\(^6\), find the value of x.
Find the nth term of the linear sequence (A.P) (5y + 1), ( 2y + 1), (1- y),...
A circle with centre (5,-4) passes through the point (5, 0). Find its equation.
Calculate, correct to two decimal places, the area enclosed by the line 3x - 5y + 4 = 0 and the axes.
In how many ways can the letters of the word MEMBER be arranged?