Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day. Which one of the following is correct?

The relation is not reflexive but it is symmetric and transitive

The relation is an equivalent relation

The relation is not symmetric but it is reflexive and transitive

The relation is not transitive but it is reflexive and symmetric

Let S be the set of all persons living in Delhi. We say that x, y in S

1.	Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day. Which one of the following is correct?
A.	The relation is an equivalent relation
B.	The relation is not reflexive but it is symmetric and transitive
C.	The relation is not symmetric but it is reflexive and transitive
D.	The relation is not transitive but it is reflexive and symmetric
Answer» B. The relation is not reflexive but it is symmetric and transitive

If f(x) = x and g (x) = |x| then f o g (- 3.5) ?
If the number 235 in decimal system is converted into binary system, then what is the resulting number?
For x > 1, if (2x)2y = 4e(2x-2y), then \({\left( {1 + lo{g_e}2x} \right)^2}\frac{{dy}}{{dx}}\) is equal to
If x is any real number, then \(\frac{{{{\rm{x}}^2}}}{{1 + {{\rm{x}}^4}}}\) belongs to which one of the following intervals?
If \({\rm{f}}\left( {{{\rm{x}}_1}} \right) - {\rm{f}}\left( {{{\rm{x}}_2}} \right) = {\rm{f}}\left( {\frac{{{{\rm{x}}_1} - {{\rm{x}}_2}}}{{1 - {{\rm{x}}_1}{{\rm{x}}_2}}}} \right)\) for x1, x2 ∈ (-1, 1), then what is f(x) equal to?
Let A = {x ∈ R : x is not a positive integer}. Define a function \(f:A \to R{\rm{\;as\;}}f\left( x \right) = \frac{{2x}}{{x - 1}}\) then f is:
If \(f\left( x \right) = \frac{{x - 2}}{{x + 2}},\;x \ne - 2\), then what is f-1(x) equal to?
If log102 = 0.3010 and log103 = 0.4771, then the value of log100 (0.72) is equal to
If E is the universal set and A = B ∪ C, then the set E - (E - (E - (E - (E - A)))) is same as the set
Let f be a differentiable function such that f(1) = 2 and f(x) = f(x) for all x ∈ R If h(x) = f(f(x)), then h' (1) is equal to