NCERT Exemplar Problems Class 11 Mathematics Chapter 10 Straight Lines Short Answer Type Questions Q1. Find the equation of the straight line which passes through the point (1, -2) Q2. Find the equation of the line passing through the point (5,2) and perpendicular to the line joining the points (2, 3) and (3, -1)…
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NCERT Exemplar Problems Class 11 Mathematics Chapter 9 Sequence and Series Short Answer Type Questions: Q1. The first term of an A.P. is a and the sum of the first p terms is zero, show that the sum of its next q terms Sol: Let the common differeence of the given A.P be d…
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NCERT Exemplar Problems Class 11 Mathematics Chapter 8 Binomial Theorem Short Answer Type Questions: Q1. Find the term independent of x, where x≠0, in the expansion of Q2. If the term free from x is the expansion of is 405, then find the value of k. Sol: Given expansion is Q3. Find the coefficient…
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NCERT Exemplar Problems Class 11 Mathematics Chapter 7 Permutations and Combinations Short Answer Type Questions Q1. Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining…
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NCERT Exemplar Problems Class 11 Mathematics Chapter 6 Linear Inequalities Q1. Q2. Sol: Let |x-2| = y Q3. Sol:We have Q4. |x-1|≤ 5, |x| ≥ 2 Sol: |x-1|≤ 5 Q5. Sol: we have Q6. 4x + 3≥2x + 17, 3x – 5 < -2. Sol:We have 4x + 3≥2x + 17 Q7. A company…
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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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