Category: 11th mathematics exercise questions with answers

Statistics – Exercise 15.2 – Class XI
the mean and variance for the data 6, 7, 10, 12, 13, 4, 8, 12 Solution: Given data is 6, 7, 10, 12, 13, 4, 8, 12 xi (xi – x) (xi – x)2 6 3 9 7 2 4 10 1 1 12 3 9 13 4 16 4 5 25 8 1 1 […]

Straight Lines – Exercise 10.2 – Class XI
Write the equations for the x and yaxes. Solution: The ycoordinate of every point on the xaxis is 0. Therefore, the equation of the xaxis is y = 0. The xcoordinate of every point on the yaxis is 0. Therefore, the equation of the yaxis is y = 0. Find the equation of the line […]

Straight Lines – Exercise 10.1 – Class XI
Draw a quadrilateral in the Cartesian plane, whose vertices are (–4, 5), (0, 7), (5, –5) and (–4, –2). Also, find its area. Solution: Let ABCD be the given quadrilateral with vertices A (–4, 5), B (0, 7), C (5, –5), and D (–4, –2). Now let us plot A, B, C, and D on […]

Probability – Exercise 16.3 – Class XI
Which of the following cannot be valid assignment of probabilities for outcomes of sample space? S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7} Assignment ω1 ω2 ω3 ω4 ω5 ω6 ω7 (a) 0.1 0.001 0.05 0.03 0.01 0.2 0.6 (b) 1/7 1/7 1/7 1/7 1/7 1/7 1/7 (c) 0.1 0.2 0.3 0.4 0.5 0.6 […]

Probability – Exercise 16.2 – Class XI
A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive? Solution: When a die is rolled, the sample space is given by S = {1, 2, 3, 4, 5, 6} Then, E = {4} and F = {2, […]

Probability – Exercise 16.1 – Class XI
Describe the sample space for the indicated experiment: A coin is tossed three times. Solution: A coin has two faces: head (H) and tail (T). It is given that, a coin is tossed three times, then the total number of possible outcomes is 23= 8 Thus, when a coin is tossed three times, the sample […]

Mathematical Reasoning – Exercise 14.5 – Class XI
Show that the statement p: “If x is a real number such that x3+ 4x = 0, then x is 0” is true by (i) direct method (ii) method of contradiction (iii)method of contrapositive Solution: p: “If x is a real number such that x3 + 4x = 0, then x is 0”. q: x […]

Mathematical Reasoning – Exercise 14.4 – Class XI
Rewrite the following statement with “ifthen” in five different ways conveying the same meaning. If a natural number is odd, then its square is also odd. Solution: The given statement can be written in five different ways as follows. (i) A natural number is odd implies that its square is odd. (ii) A natural number […]

Mathematical Reasoning – Exercise 14.3 – Class XI
For each of the following compound statements first identify the connecting words and then break it into component statements. (i) All rational numbers are real and all real numbers are not complex. (ii) Square of an integer is positive or negative. (iii) The sand heats up quickly in the Sun and does not cool down […]