# Draw appropriate Venn diagram for each of the following

## Chapter 1 Sets Class 11 Maths

NCERT Exercise 1.5 Question 5: Draw appropriate Venn diagram for each of the following:

(i) (A ∪ B)′,

(ii) A′ ∩ B′,

(iii) (A ∩ B)′,

(iv) A′ ∪ B′

## Question 14 Find the real numbers x and y if (x−iy)(3+5i) is the conjugate of −6−24i

### Updated

September 16, 2022, 2:08 pm

NCERT Miscellaneous Exercise Question 14. Find the real numbers x and y if {\displaystyle (x-iy)(3+5i) } is the conjugate of {\displaystyle -6-24i } .

## Example 12 Find the conjugate

### Updated

September 16, 2022, 2:08 pm

NCERT Chapter 5 Complex Numbers Example 12 Find the conjugate of {\displaystyle \frac{(3-2i)(2+3i)}{(1+2i)(2-i)} }

## Find the modulus and the arguments of each of the complex numbers in

### Updated

September 16, 2022, 2:08 pm

NCERT Exercise 5.2 Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2. Question - 1: {\displaystyle z=-1-i \sqrt{3} } .

## Sequences and Series NCERT Example 23 Class 11 Maths

### Updated

November 1, 2022, 5:14 am

Sequences and Series Class 11 Maths Example 23: If *a*, *b*, *c*, *d* and *p* are different real numbers such that {\displaystyle (a^2+b^2+c^2)p^2-2(ab+bc+cd)p+(b^2+c^2+d^2) \le 0 } , then show that *a*, *b*, *c* and *d* are in G.P.

## Sequences and Series NCERT Exercise 9.3 Question 24 Class 11 Maths

### Updated

November 1, 2022, 5:14 am

Sequences and Series NCERT Exercise 9.3 Question 24 Class 11 Maths : Show that the ratio of the sum of first *n* terms of a G.P. to the sum of terms from {\displaystyle (n+1)^{th} \text{ to } (2n)^{th} } term is {\displaystyle \frac{1}{r^n} } .

## NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 4

### Updated

November 1, 2022, 5:14 am

NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 4 If θ lies in the second quadrant, then show that { \displaystyle \sqrt{\frac{1-\sin\theta}{1+\sin\theta}} + \sqrt{\frac{1+\sin\theta}{1-\sin\theta}} = -2 \sec\theta }

## NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 3

### Updated

November 1, 2022, 5:14 am

NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 3 Find the value of { \displaystyle \sqrt{3} \text{cosec} 20^\circ – \sec 20^\circ }

## NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 2

### Updated

November 1, 2022, 5:14 am

NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 2 If { \displaystyle A = cos^2 θ + sin^4 θ } for all values of θ, then prove that { \displaystyle \frac{3}{4} \le A \le 1} .

## NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 1

### Updated

November 1, 2022, 5:14 am

NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 1 A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop whose radius is 48 cm. Find the angle in degrees which is subtended at the centre of hoop.

## Prove that (sec8θ−1)/(sec4θ−1)=tan8θ/tan2θ

### Updated

November 1, 2022, 5:14 am

NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions **Example 6:** Prove that { \displaystyle \frac{sec8\theta-1}{sec4\theta-1}=\frac{tan8\theta}{tan2\theta}}

## Find the value of tan9°–tan27°–tan63°+tan81°

### Updated

November 1, 2022, 5:14 am

NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 5: Find the value of tan9°–tan27°–tan63°+tan81°