# Important One Mark Questions - HSC Mathematics

SSLC Maths one mark question collection for Practice - Part1:

These questions will be very useful for +2 State board examination.

1) If $f^{'}(x)=\sqrt{x}$ and $f(1)$=2, then $f(x)$ is:

1) $-\frac{2}{3}(x\sqrt{x}+2)$
2) $\frac{3}{2}(x\sqrt{x}+2)$
3) $\frac{2}{3}(x\sqrt{x}+2)$
4) $-\frac{2}{3}x(x\sqrt{x}+2)$

2) The differential equations corresponding to $xy=c^{2}$ , where ‘c’ is an arbitrary constant, is:

1) $xy^{''}+x=0$
2) $y^{''}=0$
3) $xy^{'}+y=0$
4) $xy^{''}-x=0$

3) if ‘p’ is true and ‘q’ is false then which of the following is not true?

1) $p \to \ q$ is false
2) $p \vee q$ is ture
3) $p \wedge q$ is false
4) $p \leftrightarrow q$ is true

4) If truth values of ‘p’ is T and ‘q’ is F, then which of the following are having the truth value T?

a) $p \vee q$
b) ~$p \vee q$
c) $p \vee$~$q$
d) $p \wedge$~$q$

1) a, b, c only
2) a, b, d only
3) a, c, d only
4) b, c, d only

5) Which of the following is not a binary operation on R?

1) $a\ast b=ab$
2) $a\ast b=a-b$
3) $a\ast b=\sqrt{ab}$
4) $(a\ast b)=\sqrt({a^{2}}+{b^{2}})$

6) The curve $y=-e^{-x}$ is:

1) concave upward for $x > 0$
2) concave downward for $x > 0$
3) everywhere concave upward
4) everywhere concave downward

Refer here for questions 7 - 12.