The relation R = (a, b),(b, a) is defined on the set a, b, c , then R is ____________ .

B. Symmetric, but not reflexive and transitive

The relation R = (a, b),(b, a) is defined on the set a, b, c , th…

If $n$ is a positive integer and $[x]$ is the greatest integer not exceeding $ x$ , then $\int_0^n {\,\,\{ x - [x]\} \,dx} $ equals

→

The domain of definition of the function $y(x)$ given by ${2^x} + {2^y} = 2$ is

→

$\int_{}^{} {\frac{{x{{\sin }^{ - 1}}x}}{{\sqrt {1 - {x^2}} }}\;} dx = $

→

The area of the region bounded by the curve x = 2y + 3 and lines y = 1 and y = –1 is:

→

Consider the non-empty set consisting of children in a family and a relation $R$ defined as $a R b$ if $a$ is brother of $b$. Then $R$ is

→

If $P\left(\frac{A}{B}\right)=0.3, P(A)=0.4$ and $P(B)=0.8$, then $P\left(\frac{B}{A}\right)$ is equal to:

→

If $y = \sqrt {\sin x + y} ,$ then ${{dy} \over {dx}}$ equals to

→

Let $R$ be the relation in the set $N$ given by $R =\{(a,\, b)\,:\, a=b-2,\, b>6\} .$ Choose the correct answer.

→

The direction ratios of two lines AB, AC are 1, -1, -1 and 2, -1, 1. The direction ratios of the normal to the plane ABC are:

→

If $A=\left[\begin{array}{ccc}2 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3\end{array}\right]$, then $A^{-1}$ exists only if

→