Subject: Maths, asked on 11/5/18

## Example 11 Q.11.  A function out of the following whose period is not $\mathrm{\pi }$ is (a)  (b)  ${\mathrm{cos}}^{2}x$ (c)  tan (2x + 3) (d)  y = Ans. (c) Solution: y = ${\mathrm{sin}}^{2}x=\frac{1}{2}\left[1-\mathrm{cos}2x\right]$. Since period of cos x is 2$\mathrm{\pi }$ so period of cos 2x is $\mathrm{\pi }$.

Subject: Maths, asked on 11/5/18

## Example 10: Example 10: Which of the following functions is bounded ​

Subject: Maths, asked on 11/5/18

## Example 9 Q.9. The domain of  y =  is (a) (b) (c) (d) Ans. (a)

Subject: Maths, asked on 11/5/18

## Example 8: Example 8: The domain of the function f(x) log2 sin x is

Subject: Maths, asked on 11/5/18

## Example 7: The relation a R b defined by a is factor of b on N is not (A) reflexive (B) transitive (c) anti symmetric (d) symmetric Ans. (d)

Subject: Maths, asked on 11/5/18

## Example 6

Subject: Maths, asked on 11/5/18

## Example 5 Example 5: If $\left[\frac{\mathrm{x}}{2}\right]+\left[\frac{\mathrm{x}}{3}\right]=\frac{5\mathrm{x}}{6}$, then x is any term of the following. (a) 3,6,9,12.......            (b) 9,18,27,36............ (c) 6,12,18,24.....           (d) $\frac{6}{5},\frac{12}{5},\frac{18}{5},.......$

Subject: Maths, asked on 11/5/18

## Example 4: Example 4: If, B$\underset{\ne }{\subset }$A' then which of the following sets is equal to A'.

Subject: Maths, asked on 11/5/18

## Example 1 Q.Example 1: Let I be set of integers, N = the set of non-negative integers, Np = the set of non-positive integers. Then the sets A and B satisfying A ⌒ B = $\varphi$ are        (a) A = I $~$Np, B = N $~$Np       (b) A = I$~$ N, B = I $~$NP       (c) A = N $∆$Np, B = I $~$NP       (d) A = N$∆$ NP, B = (I $~$N) ∪ {0}    Ans : (b)

Subject: Maths, asked on 9/5/18

## describe  the following in rooster form X is an element of R :X>X  (RD sharma pg1.6 qno.1 pat V)

Subject: Maths, asked on 9/5/18

## x is an element of R : X>X

Subject: Maths, asked on 8/5/18

## ​Is {φ} null set or singleton set?

Subject: Maths, asked on 7/5/18

## represent the set A = ( 0,3/5,4/5) in set builder form

Subject: Maths, asked on 2/5/18

## Please solve Asap Q. If the sum of two unit vectors is also equal to a unit vector, find the magnitude of the vector $\stackrel{\to }{A}-\stackrel{\to }{B}$.

Subject: Maths, asked on 1/5/18

## Why phi is used here

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