ML Aggarwal Solutions Class 10 Maths Chapter 22 Probability
1. A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. Anjali takes out a ball from the bag without looking into it. What is the probability that she takes out (i) yellow ball ? (ii) red ball ? (iii) blue ball ? Solution: Anjali…
ML Aggarwal Solutions Class 10 Maths Chapter 21 Measures Of Central Tendency
1. (a) Find out the arithmetic mean of 5.7,6.6,7.2,9.3,6.2. (b) The weights (in kg) of 8 new born babies are 3,3.2,3.4,3.5,4,3.6,4.1,3.2. Find out the mean weight of the babies. Solution: As we have Given observations are 5.7, 6.6, 7.2, 9.3, 6.2. So, Number of observations…
ML Aggarwal Solutions Class 10 Maths Chapter 20 Heights and Distances
1. An electric pole is 10 meter high. if its shadow is 10√3 metres in length, so find out the elevation of the sun. Solution: Let us Assume AB as the pole and OB as its shadow. As we have given that AB = 10 m, OB = 10√3 m and θ is the angle of elevation of the sun…
ML Aggarwal Solutions Class 10 Maths Chapter 19 Trigonometric Tables
1. Find out the value of the following: (i) sin 35o 22′ Solution:- To find the value of sin 35o 22’, When We read the table of natural sines in the horizontal line which begins with 35o In the vertical column headed by 22’ i.e. 22’ – 18’ = 4’ in the difference column, …
ML Aggarwal Solutions Class 10 Maths Chapter 18 Trigonometric Identities
1. If A is an acute angle and sin A = 3/5, find out all other trigonometric ratios of angle A (using trigonometric identities). Solution: As we have Given that , sin A = 3/5 and A is an acute angle Then, in ∆ABC As we have ∠B = 90° And, AC = 5 and BC = 3 By The…
ML Aggarwal Solutions Class 10 Maths Chapter 17 Mensuration
Exercise 17.1 Take π = 22/7 unless stated otherwise. 1. Find the total surface area of a solid cylinder of radius 5 cm and height 10 cm. Leave your answer in terms of π. Solution: Given radius of the cylinder, r = 5 cm Height of the cylinder, h = 10 cm Now, as we know that…
ML Aggarwal Solutions Class 10 Maths Chapter 16 Constructions
EXERCISE 16.1 1. Use a ruler and compass only in this question. (i) Draw a circle, centre O and radius 4 cm. (ii) Mark a point P such that OP = 7 cm. Construct the two tangents to the circle from P. Measure and record the length of one of the tangents. Solution: Allow the…
ML Aggarwal Solutions Class 10 Maths Chapter 15 Circles
1. Using the given information, find the value of x in each of the following figures: Solution: We have given that: (i)∠ADB and ∠ACB are in the same segment. ∠ADB = ∠ACB = 50° Now in ∆ADB, ∠DAB + X + ∠ADB = 180° = 42° + x + 50° = 180° = 92° + x = 180° x = 180° – 92…
ML Aggarwal Solutions Class 10 Maths Chapter 14 Locus
Exercise 14 1. A point moves such that its distance from a fixed line AB is always the same. What is the relation between AB and the path travelled by P? Solution: Consider point P which moves in such a way that it is at a fixed distance from the fixed line AB. (ii…
ML Aggarwal Solutions Class 10 Maths Chapter 13 Similarity
Exercise 13.1 1. State which pairs of triangles in the figure given below are similar. Write the similarity rule used and also write the pairs of similar triangles in symbolic form (all lengths of sides are in cm): Solution:- (i) From the given figure We have ΔABC and…
ML Aggarwal Solutions Class 10 Maths Chapter 12 Equation of Straight Line
Exercise 12.1 1. Find the slope of a line whose inclination is (i) 45° (ii) 30° Solution: The slope of a line having inclination: (i) We have given that: 45° Slope = tan 45° = 1 (ii) We have given that: 30° Slope = tan 30° = 1/√3 2. Find the inclination of a line whose…
ML Aggarwal Solutions Class 10 Maths Chapter 11 Section Formula
1. Find the co-ordinates of the mid-point of the line segments joining the following pairs of points: (i) (2,– 3),( – 6,7) (ii) (5,– 11),(4,3) (iii) (a + 3,5b),(2a – 1,3b + 4) Solution: We have given that: Co-ordinates of midpoint of line joining the points (x1,y1) and (x2,…
ML Aggarwal Solutions Class 10 Maths Chapter 10 Reflection
1. Find the co-ordinates of the images of the following points under reflection in the x- axis: (i) (2,-5) (ii) (-3/2,-1/2) (iii) (-7,0) Solution: We have given the points: (i) (2,-5) (ii) (-3/2,-1/2) (iii) (-7,0) So, The co-ordinates of the images of the points under…
ML Aggarwal Solutions Class 10 Maths Chapter 9 Arithmetic and Geometric Progression
Exercise 9.1 1. For the following A.P.s, write the first term ‘a’ and the common difference ‘d’: (i) 3,1,– 1,– 3,… Solution:- We have given that: From the question, The first term a = 3 Then, difference d = 1 – 3 = – 2 – 1 – 1 = – 2 – 3 – (-1 ) = – 3 + 1 = -2 Hence, common…
ML Aggarwal Solutions Class 10 Maths Chapter 8 Matrices
Exercise 8.1 2. (i) If a matrix has 4 elements, what are the possible order it can have? Solution: We have given that, Matrix has 4 elements It can have 1 × 4,4 × 1 or 2 × 2 order. (ii) If a matrix has 4 elements, what are the possible orders it can have? …