For the following questions answer them individually
If $$x + \frac{1}{x} = 12 $$, the value of $$x^2 + \frac{1}{x^2}$$ is
$$sec^4 θ - sec^2 θ$$ is equal to
In ΔABC, AD is the median and AD = 1/2 BC. If ∠BAD = 30°, then measure of ∠ACB is
If √6 x √15 = x√10, then the value of x is
$$3 - \frac{3+\sqrt{5}}{4} - \frac{1}{3 + \sqrt{5}}$$
If a + b + 1 = 0, then the value of $$(a^3 + b^3 +1 - 3ab)$$ is
In the xy coordinate system, if (a, b) and (a + 3, b + k) are two points on the line defined
by the equation x = 3y - 7, then k = ?
The average age of four boys, five years ago was 9 years. On including a new boy, the present average age of all the five is 15 years. The present age of the new boy is
If the average of 39, 48, 51, 63, 75, 83, x and 69 is 60, then the value of x is
The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 5,184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.