Relations & Functions Questions (810)

The feasible region is bounded. The maximum value of z = 4x + 3y is to be found. The corner points are (0, 0), (25, 0), (16, 16), and (0, 24). Find the maximum value of z.

The contrapositive of the following statement,"If the side of a square doubles, then its area increases four times", is

Given that \( |x - 1| \leq 5 \) and \( |x| \geq 2 \), the solution set is:

Suppose \(f(x) = (x-1)^2\) for \(x \geq -1\). If \(g(x)\) is the function whose graph is reflection of the graph of \(f(x)\) with respect to the line \(y = x\), then \(g(x)\) equals

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} and A = {1, 2, 3, 4}. The relation R is

Let F1 be the set of parallelograms, F2 the set of rectangles, F3 be the set of rhombuses, F4 be the set of squares and F5 be the set of trapeziums in a plane. Then F1 may be equal to

The contrapositive of \((p \vee q) \rightarrow r\) is

Negation of 'Paris is in France and London is in England' is

The inverse of the proposition \((p \wedge \sim q) \rightarrow r\) is

The Boolean Expression \((p \wedge \sim q) \vee q \vee (\sim p \wedge q)\) is equivalent to