Explore topic-wise InterviewSolutions in Class 11.

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your Class 11 knowledge and support exam preparation. Choose a topic below to get started.

51.

Subset of A

Answer» Null set<br>2¹ =2{A,nullset}<br>Fi and vary on set<br>A\'
52.

Activity 20

Answer»
53.

Sin2x=

Answer» 2cosxsinx , 2tanx divded by 1 minus tanx square x<br>2 sin x cos x
54.

How many four digit numbers are there with no digit repeated?

Answer» 4 x 3 x 2 x 1 = 24<br>Factorial of 4 . That is 4*3*2*1 = 24
55.

dervative of cosx

Answer» -Sinx<br>How we find a ho
56.

Differentiate (SinX+CosX)^8

Answer» 8 • (sin x + cos x) • (cos x - sin x)
57.

how many of the natural no from 1 to 1000 have none of their digits repeated

Answer» 738
58.

if npr =336 ncr=56 find n and r hence find n-1cr-1

Answer»
59.

Evaluate : lim x—>0 (x+1)^5—1/x

Answer» (x+1)⁵-1⁵÷(x+1)-1=5(1)⁵-¹=5(1)⁴=5
60.

Find derivatives of xto the power 8 minus 1 upon x to the power 4 minus 1

Answer»
61.

Sin(A+B)

Answer» SinACosB+CosASinB<br>SinA.CosB+CosA.SinB
62.

Evaluate : lim 5 x—>0 (x+1) —1÷x

Answer»
63.

Y= 1+x/1-x then

Answer» Ans 1
64.

7. Find the geometric images of the complex numbers z such that|z+ 1 /z |=2.

Answer»
65.

Compute 9!/5!4!

Answer» 126<br>Answer 126 9*8*7*6*5! / 5! * 24Since 4! = 24 On solving further 126 as answer<br>126 is the answer<br>9*8*7*6*5!/5!(4*3*2*1)3024/24126
66.

Find the radian measure 5 degree 37 \' 30"

Answer»
67.

2+1+88-66*5+5*55+5/888

Answer» 2+1+88-330+275+5/88841/8880.04617
68.

-47°30`

Answer»
69.

-48°30`

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70.

-48°30\'

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71.

Find tha derivative of x at x=1

Answer» According to Fomula: nxn-1 Then, x1 = 1x1-1 = 1x0 = 1x1 [ if Any no have power o so its value is 1] = 1 Ans.<br>1<br>1<br>1
72.

How to approach a question of derivative including trigonometric functions

Answer»
73.

5secx+4cosx

Answer» 5secx tanx - 4 sinx As differentiation of cos x is -sin x and for sec x is secx*tanx
74.

Find the sum of n terms:-n(n+1)(n+2)

Answer»
75.

Find the derivatives of (x+2)/(x-5).

Answer» -7/(x-5)^2
76.

Which terms of the following sequence. Rut 3.3.3.rut 3.so all 19683

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77.

How many types of sets.

Answer» There are various kinds of sets like – finite and infinite sets, equal and equivalent sets, a null set.
78.

Tan²x=

Answer»
79.

If A = {a, b, c, d, e}, B = {a, c, e, g}and C = {b, e, f, g}, Find A \uf0c7 (B \uf02d C)

Answer»
80.

The probability that birthday of six different persons will fall in exactly two calendar months is

Answer» No. Of possible months of a single person =12Possible ways for 6 people = 12^6Birthday falls in two calendar months=(choose 2 months from 12 months & put all 6 persons into any of the month - the case when all 6 people get into single month)12C2 (2^6 -1)Therefore required probability is 12C2 (2^6 -1)/12^6
81.

When x is an integer -12x>30

Answer» (-infinite,-3]<br>(-infinte,-3]<br>(-infinte,5/2]<br>-3
82.

Differentiate Log [x + (x^2 + a^2 )^1/2]

Answer» Can you make my friend<br>Hi vansika
83.

find the number of permutations of the letters of the word hyderabad

Answer» 9p7
84.

2.137 and bar above 7

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85.

Find the value of tan 13π/12.

Answer» 12
86.

Find the derivative of sinx

Answer» Cosx
87.

How to construct a parabola using cardboard and paper

Answer»
88.

Find the derivative of xcosx..

Answer» Cosx - xSinx
89.

Three men have 4coats,5 waistcoats and 6 caps. In how many ways can they wear them?

Answer» 4!×5!×6!<br>(4×3×2)(5×4×3)(6×5×4)
90.

i37+1/i67

Answer»
91.

A polygon has 65 diagonals then find the number of its sides?

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92.

Find the equation of a circle with centre (a,a) and radius √2

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93.

Find the differential coefficient of the following: 4x¹/⁴

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94.

What is union sets

Answer» Union means to unite ... Combination of two sets.. And if any element is common..You have to write only once.<br>Let us suppose two sets- Set (A)= {1,2,3} Set (B)= {6,7,8}Then Union of set (A) and set (B) could be written as-A U B = {1,2,3,6,7,8}?I hope it will help you to understand!!<br>If you have 2 sets A and B union is that you have to write them in a single set by writing all the number in the set . If the numbers repeate write them once only
95.

What is the probability that two friends will have the same birthday in the month of March?

Answer» 31/961 or 1/31
96.

Solve -12x>30 then

Answer» X> -5/2<br>x<5/2<br>-2.5
97.

What is a sets ?

Answer» Set is a collection of well defined objects<br>A well defined collection of the object is called sets<br>A well defined group of things is called sets
98.

What is the smallest positive integer n for which (1+i)^2n .(1-i)^2n

Answer» Yes this qwetion is incomplete<br>Multiplication is there or equals to???<br>I think this question is incomplete
99.

Differentiate y=e3logx + e²log³ +3^7log³x

Answer»
100.

Y equal to 3 root x power 5 + 1 by 3 root x power 7 + 4 root x

Answer»