Relation R on Real Numbers is defined as $R = \{(a, b) : a \leq b\}$. The relation is :

If a function $f: R \to T$, defined by $f(x) = \sqrt{3}\sin x + \cos x$ is an onto function, then the interval of $T$ is

For the function $f(x) = |x-1| + |x-2| + |x-3|$

Match the LIST-I with LIST-II

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Let $f : R \to R$ defined by $f(x) = 2x^3 - 7$ for $x \in R$. Then :

(A) $f$ is one-one function

(B) $f$ is many to one function

(C) $f$ is bijective function

(D) $f$ is into function

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A manufacturer can sell $x$ items at a price of Rs $3x+5$ each. The cost price of $x$ items is Rs $x^2 + 5x$. If x is the number of items she should sell to get no profit and no loss, then:

The domain of $y = \cos^{-1}(x^2 - 4)$ is

For the relations $R_1, R_2, R_3, R_4$ defined on the set $A = \{1,2,3\}$,

Match the LIST-I with LIST-II

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