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अर्कज

Subject: Maths, asked on 11/5/18

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

अर्कज

Subject: Maths, asked on 11/5/18

Example 10:

Example 10: Which of the following functions is bounded
$(a) y = 1 - \log_{10} x (b) y = e^{- 2 x} (c) y = \sin^{- 1} (2 x + 1) (d) y = \tan (4 x + 1)$

अर्कज

Subject: Maths, asked on 11/5/18

Example 9
Q.9. The domain of y = $\cos^{- 1} \frac{1 - 2 x}{4}$ is
(a) $[- \frac{3}{2}, \frac{5}{2}]$
(b) $[- 1, 1]$
(c) $[0, 2]$
(d) $[- \frac{1}{2}, \frac{3}{2}]$
Ans. (a)

अर्कज

Subject: Maths, asked on 11/5/18

Example 8:

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

$(a) R (b) R ~ \{n π : n \in I\} (c) R ~ \{n π : n \in N\} (d) \underset{n \in I}{\cup} (2 n π, (2 n + 1) π)$

अर्कज

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)

अर्कज

Subject: Maths, asked on 11/5/18

Example 6

अर्कज

Subject: Maths, asked on 11/5/18

Example 5

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

अर्कज

Subject: Maths, asked on 11/5/18

Example 4:

Example 4: If, B $\underset{\neq}{\subset}$ A' then which of the following sets is equal to A'.
$(a) (A \cap B) \cup B (b) (A \cap B) \cup A' (c) (A \cup B) \cap A' (d) (A \cup B) \cap B$

अर्कज

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, N_p = the set of non-positive integers. Then the sets A and B satisfying A ⌒ B = $ϕ$ are

(a) A = I $~$ N_p, B = N $~$ N_p

(b) A = I $~$ N, B = I $~$ N_P

(c) A = N $∆$ Np, B = I $~$ N_P

(d) A = N $∆$ N_P, B = (I $~$ N) ∪ {0}

Ans : (b)

Shiethal Xi

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)

Shiethal Xi

Subject: Maths, asked on 9/5/18

x is an element of R : X>X

Keta

Subject: Maths, asked on 8/5/18

Is {φ} null set or singleton set?

Uma

Subject: Maths, asked on 7/5/18

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

Ms Eccentric

Subject: Maths, asked on 2/5/18

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

अर्कज ..

Subject: Maths, asked on 1/5/18

Why phi is used here

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