For the following questions answer them individually
If the lengths ofthe side and one diagonal of a rhombus are respectively 13 cm and 10 cm, then the area of the rhombus in square centimeters is
The ratio in which x-axis divides the line segment joining the points (3, -4) and (-2, 5) is
Let $$A = \left\{x \epsilon R/x^2 < 9\right\}$$ and $$B = \left\{x \epsilon R/4 < x^2 < 16\right\}$$ then $$A \cap B =$$
If A, B are two sets such that $$n(A - B) = 40, n(B - A) = 57$$ and $$n(A \cap B) = 16$$ then n(A) =
Let $$f: R \rightarrow R$$ be a function defined by $$f(x) = 2x^3 + 8$$ for all $$x \epsilon R$$, then the function f is
Let Q be the set of all rational numbers and $$f : Q \rightarrow Q$$ be a function defined $$f(x) = \frac{3x - 1}{10}$$ for all $$x \epsilon Q$$. Then $$f^{-1} (5) =$$