Relations and Functions - Tamil Nadu Board STD 10 MATHS Questions

Given that $f ( x )=\left\{\begin{array}{ll}\sqrt{x-1} & x \geq 1 \\ 4 & x<1\end{array}\right.$ Find $f (0)$

Given that $f(x)=\left\{\begin{array}{ll}\sqrt{x-1} & x \geq 1 \\ 4 & x<1\end{array}\right.$ Find $f(3)$

Given that $f ( x )=\left\{\begin{array}{ll}\sqrt{x-1} & x \geq 1 \\ 4 & x<1\end{array}\right.$ Find $f ( a +1)$ in terms of $a$. (Given that $a \geq 0$ )

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Q 4[1 Mark Questions]1 Mark

Write the domain of the following real function:
h(x) = x + 6

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Q 5[1 Mark Questions]1 Mark

Write the domain of the following real function:
$f(x)=\frac{2 x+1}{x-9}$

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Q 6[2 Mark Questions]2 Marks

The function $f$ and $g$ are defined by $f(x)=6 x+8 ; g(x)=\frac{x-2}{3}$
Write an expression for $g f(x)$ in its simplest form

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Q 7[2 Mark Questions]2 Marks

Find the domain of the function $f(x)=\sqrt{1+\sqrt{1-\sqrt{1-x^2}}}$

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Q 8[2 Mark Questions]2 Marks

Let A = {9, 10, 11, 12, 13, 14, 15, 16, 17} and let f : A → N be defined by f(n) = the highest prime factor of n ∈ A. Write f as a set of ordered pairs and find the range of f.

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Q 9[2 Mark Questions]2 Marks

The Cartesian product A × A has 9 elements among which (– 1, 0) and (0, 1) are found. Find the set A and the remaining elements of A × A

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Q 10[2 Mark Questions]2 Marks

If $f: R \rightarrow R$ and $g: R \rightarrow R$ are defined by $f(x)=x^5$ and $g(x)=x^4$ then check if $f, g$ are one-one and fog is one-one?

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Q 11[5 Mark Questions]5 Marks

The function $f$ and $g$ are defined by $f(x)=6 x+8 ; g(x)=\frac{x-2}{3}$Calculate the value of $\operatorname{gg}\left(\frac{1}{2}\right)$

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Q 12[5 Mark Questions]5 Marks

If $f(x)=\frac{x-1}{x+1}, x \neq-1$ Show that $f(f(x))=-\frac{1}{x}$, Provided $x \neq 0$

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Q 13[5 Mark Questions]5 Marks

Let A = {1, 2} and B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify whether A × C is a subset of B × D?

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Q 14[5 Mark Questions]5 Marks

If $f(x)=x^2, g(x)=3 x$ and $h(x)=x-2$ Prove that (fog)oh $=f(goh)$

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Q 15[5 Mark Questions]5 Marks

If the ordered pairs $\left(x^2-3 x, y^2+4 y\right)$ and $(-2,5)$ are equal, then find $x$ and $y$

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Relations and Functions question types

Relations and Functions questions

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Relations and Functions MATHS - Relations and Functions

Relations and Functions question types

Relations and Functions questions

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