NCERT Exemplar Problems Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations Short Answer Type Questions Q6. If a = cos θ + i sin θ, then find the value of (1+a/1-a) Sol: a = cos θ + i sin θ Q10. Show that the complex number z, satisfying the condition arg lies on…
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NCERT Exemplar Problems Class 11 Mathematics Chapter 4 Principle of Mathematical Induction Short Answer Type Questions Q1. Give an example of a statement P(n) which is true for all n≥ 4 but P(l), P(2) and P(3) are not true. Justify your answer. Sol. Consider the statement P(n): 3n < n! For n = 1, 3…
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NCERT Exemplar Problems Class 11 Mathematics Chapter 3 Trigonometric Functions Q4. If cos (α + ) =4/5 and sin (α- )=5/13 , where α lie between 0 and π/4, then find the value of tan 2α. Q6. Prove that cos cos /2- cos 3 cos 9/2 = sin 7/2 sin 4 . Q7. If a…
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NCERT Exemplar Problems Class 11 Mathematics Chapter 2 Relations and Functions Short Answer Type Questions Q1. If A = {-1, 2, 3 } and B = {1, 3}, then determine (i) AxB (ii) BxC (c) BxB (iv) AxA Sol:We have A = {-1,2,3} and B = {1,3} (i) A x B = {(-1, 1), (-1,…
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NCERT Exemplar Problems Class 11 Mathematics Chapter 1 Sets Short Answer Type Questions Q1. Write the following sets in the roaster from Q2. Write the following sets in the roaster form: Q3. If Y = {x\x is a positive factor of the number 2P(2P – 1), where 2P – 1 is a prime number}. Write…
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NCERT Exemplar Problems Class 12 Physics Chapter 14 Semiconductor Electronics: Materials, Devices and Simple Circuits Multiple Choice Questions (MCQs) Single Correct Answer Type Question 1. The conductivity of a semiconductor increases with increase in temperature, because (a) number density of free current carries increases (b) relaxation time increases (c) both number density of carries and…
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NCERT Exemplar Problems Class 12 Physics Chapter 1 Electric Charges and Fields Chapter 2 Electrostatic Potential and Capacitance Chapter 3 Current Electricity Chapter 4 Moving Charges and Magnetism Chapter 5 Magnetism and Matter Chapter 6 Electromagnetic Induction Chapter 7 Alternating Current Chapter 8 Electromagnetic Waves Chapter 9 Ray Optics and Optical Instruments Chapter 10 Wave…
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NCERT Exemplar Problems Class 12 Physics Chapter 15 Communication Systems Multiple Choice Questions (MCQs) Single Correct Answer Type Question 1. Three waves A, B and C of frequencies 1600 kHz, 5 MHz and 60 MHz respectively are to be transmitted from one place to another. Which of the following is the most appropriate mode of…
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NCERT Exemplar Problems Class 12 Physics Chapter 13 Nuclei Multiple Choice Questions (MCQs) Single Correct Answer Type Question 1. Suppose we consider a large number of containers each containing initially 10000 atoms of a radioactive material with a half life of 1 year. After 1 year, (a) all the containers will have 5000 atoms of…
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NCERT Exemplar Problems Class 12 Physics Chapter 12 Atoms Multiple Choice Questions (MCQs) Single Correct Answer Type Question 1. Taking the Bohr radius as a0= 53 pm, the radius of Li++ ion in its ground state, on the basis of Bohr’s model, will be about (a) 53 pm (b) 27 pm (c) 18 pm (d)…
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