NCERT Exemplar Problems Class 11 Mathematics Chapter 12 Introduction to Three Dimensional Geometry Short Answer Type Questions Q1. Locate the following points: (i) (1,-1, 3), (ii) (-1,2,4) (iii) (-2, -4, -7) (iv) (-4,2, -5) Sol: Given, coordinates (i) (1,-1, 3), (ii) (-1,2,4) (iii) (-2, -4, -7) (iv) (-4,2, -5) Q2. Name the octant in…
Read more
NCERT Exemplar Problems Class 11 Mathematics Chapter 11 Conic Sections Short Answer Type Questions Q1. Find the equation of the circle which touches the both axes in first quadrant and whose radius is a. Sol: Given that the circle of radius ‘a’ touches both axis. So, its centre is (a, a). Q2. Show that…
Read more
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)…
Read more
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…
Read more
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…
Read more
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…
Read more
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…
Read more
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…
Read more
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…
Read more
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…
Read more