Category › Class 11 Maths

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 }

.NCERT Chapter 5 Complex Numbers Example 12 Find the conjugate of

\frac{(3-2i)(2+3i)}{(1+2i)(2-i)}

NCERT Exercise 5.2 Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2. Question - 1:

z=-1-i \sqrt{3}

.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′Sequences and Series Class 11 Maths Example 23: If a, b, c, d and p are different real numbers such that

(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 : Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from

(n+1)^{th} \text{ to } (2n)^{th}

term is

\frac{1}{r^n}

.NCERT Exemplar Class 11 Maths Chapter 3 Trigonometry Functions Example 4 If θ lies in the second quadrant, then show that

\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 Find the value of

\sqrt{3} \text{cosec} 20^\circ – \sec 20^\circ

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

\frac{3}{4} \le A \le 1

.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.