Relations and F...

If $$A \times B = \{(3, a), (3, -1), (3, 0), (5, a), (5, -1), (5, 0)\}$$, find $$A$$.

Given $$(a - 2, b + 3) = (6, 8)$$, are equal ordered pair. Find the value of $$a$$ and $$b$$.

What is the second component of an ordered pair $$(3, -0.2)$$?

If $$A = \{2, 3\}$$ and $$B = \{1, 2\}$$, find $$A \times B$$.

If $$A \times B =$$ $${(2, 4), (2, a), (2, 5), (1, 4), (1, a), (1, 5)}$$, find $$B$$.

Ordered pairs $$(x, y)$$ and $$(3, 6)$$ are equal if $$x = 3$$ and $$y = ?$$

If the function $$f$$ is defined by $$f(x)=3x+4$$, then $$2 f(x)+ 4=$$____ . 

Let $$S=\{(a, b, c) \in N \times N\times N:a+b+c=21, a \le b \le c\}$$ and $$T=\{(a, b, c)\in N\times N\times N: a, b, c\, are\, in\,AP\}$$, where $$N$$ is the set of all natural numbers. Then, the number of elements in the set $$S\cap T$$ is

Let $$f\left( x \right)=x+\dfrac { 1 }{ 2 } $$. Then, the number of real values of $$x$$ for which the three unequal terms $$f\left( x \right),f\left( 2x \right),f\left( 4x \right)$$ are in HP is

Find the maximum value of $$f(x) = 1 - x^{2}$$ if $$-2\leq x\leq 2$$