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Solution for Class 11, Mathematics

Question 81

Views: 5,633

In Fig. 5.47, the value of

cos ϕ

$\frac{5}{4}$
$\frac{5}{3}$
$\frac{3}{5}$
$\frac{4}{5}$

Topic:

Trigonometry

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Question 82

Views: 5,077

Objective Questions I (Only one correct option)

{"1. Let $z in C$ with $o p er a t or nam e I m (z) = 10$ and it satisfies $f r a c 2 z - n 2 z + n = 2 i - 1$ for some natural number $n$ , then (2019 Main, 12 April II)","(a) $n = 20$ and $o p er a t or nam e R e (z) = - 10$ (b) $n = 40$ and $o p er a t or nam e R e (z) = 10$ ","(c) $n = 40$ and $o p er a t or nam e R e (z) = - 10$ ","(d) $n = 20$ and $o p er a t or nam e R e (z) = 10$ "}

Topic:

Algebra

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Question 83

Views: 5,993

= \frac{2}{s i n \frac{α + γ}{2}} = \frac{2}{2 s i n \frac{α + γ}{2} s i n \frac{α - γ}{2}} = \frac{s i n α - s i n γ}{c o s γ - c o s α}

IIlustration 4: Show that

sin 1 2^{\circ} . sin 4 8^{\circ} \cdot sin 5 4^{\circ} = 1/8

Topic:

Trigonometry

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Question 84

Views: 5,459

Identify the empty set from the following :

${x \in N : 2 \leq x < 3}$
${x : x$ is an even number $}$
${x \in N : 2 x + 5 = 8}$
None of these.

Topic:

Algebra

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Question 85

Views: 5,260

The value of a for which the lines represented by a are mutually perpendicular is

2
-2
25/8
none

Topic:

Co-ordinate Geometry

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Question 86

Views: 5,166

if p(x,y) is any point on the line passing through through a(x, y) b(x,y) then the ratio in which p divides ab is ap:pb=

Topic:

Coordinate Geometry

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Question 87

Views: 5,670

find the sum of all two digit no. which is divided by 4 yields 1 as remanded

Topic:

Calculus

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Question 88

Views: 5,882

z) Solve the following system of inequalities graphically

x + y \geq 4, 2 x - y < 0

Topic:

Coordinate Geometry

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Question 89

Views: 5,643

the possible 6. i) If

A = ⎣ ⎡ - 1 12 - 2 2 - 1 343 ⎦ ⎤, B = ⎣ ⎡ - 1 01 - 2 - 2 2 52 - 3 ⎦ ⎤

C = ⎣ ⎡ - 2 12 110221 ⎦ ⎤

A + B + C

Topic:

Algebra

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Question 90

Views: 5,337

The number of solutions of the inequation

∣ x - 2∣ + ∣ x + 2∣ < 4

1
2
4
0
infinite

Topic:

Algebra

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Question 91

Views: 5,103

, Il Airtel < Back A4 Differentiation (22-01-2022) Part A : Differentiate following with respect to

x

$\frac{1}{x}$
$x$
$x^{3/2}$
$\frac{1}{x}$
$e^{3}$
$3 x^{3/2}$

Topic:

Calculus

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Question 92

Views: 5,579

A

B

m_{A}

m_{B}

respectively are kept in contact on a frictionless table. The experimenter pushes the block

A

from behind so that

Topic:

Algebra

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Question 93

Views: 5,050

Why doesn't a homogenous system of equations have "no solution" system?

Topic:

Algebra

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Question 94

Views: 5,565

How many roots does the equation

x - \frac{2}{x - 1}

= 1 - \frac{2}{x - 1}

One
Two
Infinite
None

Topic:

Algebra

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Question 95

Views: 5,396

Find out the value of

(- i)^{4 n + 3}

n

is any positive integer. 3. Write the following complex numbers in the form of ordered pairs :

0
1 .
$- i$ .
$2 + 3 i$
$3 - 2 i$ .
iy.

Topic:

Algebra

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Question 96

Views: 5,612

a, b, c

are in HP, then

\frac{a - b}{b - c}

is equal to (A)

\frac{a}{b}

\frac{b}{a}

\frac{a}{c}

Topic:

Algebra

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Question 97

Views: 5,716

= - cos (\frac{A + B}{2}) + sin \frac{B}{2} + sin \frac{A}{2} = - sin \frac{C}{2} + sin \frac{B}{2} + sin \frac{A}{2} = L.H.S.

A, B, C

are angles in a triangle, then prove that

sin 2 A - sin 2 B + sin 2 C = 4 cos A sin B cos C

Topic:

Trigonometry

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Question 98

Views: 5,974

a

b

, then find the value of

x

. 4. A.M of two numbers is 7 , their product is 45. Find the numbers. 5. A.M. berween two numbers is 6 . The sum of their squares is 90 . Find the numbers.

Topic:

Coordinate Geometry

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Question 99

Views: 5,720

Which of the following relations are functions ? Give reasons. If it is a function, determine its domain and range :

${(2, 1), (3, 1), (4, 2)}$
${(1, 3), (1, 5), (2, 5)}$
${(2, 2), (2, 4), (3, 3), (4, 4)}$
${(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}$
${(2, 1), (5, 1), (8, 1), (11, 2), (14, 2), (17, 2)}$

Topic:

Algebra

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Question 100

Views: 5,291

25 m

long reaches a window of bualding distance of the foot of the ladder trom the bunding 8. A tree

50 m

high broke at a point but did not separate. The top of the tree touched the ground at a distamoe of 40 m-irom its foc 114 9. NONA GREENWAY MATHEMATICS-7

Topic:

Algebra

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