#### NCERT Solutions Class 8 Mathematics Chapter 10 Visualising Solid Shapes

Question 1. For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. The first one is done for you. Answer : (a) → (iii) → (iv) (b) → (i) → (v) (c) → (iv) → (ii) (d) → (v) → (iii) (e) →…

#### NCERT Solutions Class 10 Mathematics Chapter 15 Probability

Exercise 15.1 Q.1) Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = _______. (ii) The probability of an event that cannot happen is _________. Such as event is called _________. (iii) The probability of an event that…

#### NCERT Solutions Class 10 Mathematics Chapter 13 Surface Area and Volume

Exercise 13.1 Q.1) 2 cubes each of volume 64 𝑐𝑚3 are joined end to end. Find the surface area of the resulting cuboid. Sol.1) Side of cube = 3√𝑣𝑜𝑙𝑢𝑚𝑒 = 3√64 = 4𝑐𝑚 Length of new cuboid = 8 𝑐𝑚, height = 4 𝑐𝑚, width = 4 𝑐𝑚 Surface Area can be calculated as follows…

#### NCERT Solutions Class 10 Mathematics Chapter 12 Areas Related to Circles

Exercise 12.1 Q.1) The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles. Sol.1) Radius (𝑟1) of 1st circle = 19 cm Radius (𝑟2) or 2nd circle = 9 cm…

#### NCERT Solutions Class 10 Mathematics Chapter 11 Construction

Exercise 11.1 Q.1) In each of the following, give the justification of the construction also: Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two arts. Sol.1) Steps of Construction: Step I: 𝐴𝐵 = 7.6 𝑐𝑚 is drawn. Step II: A ray 𝐴𝑋…

#### NCERT Solutions Class 10 Mathematics Chapter 10 Circles

Exercise 10.1 Q.1) How many tangents can a circle have? Sol.1) A circle can have infinite tangents. Q.2) Fill in the blanks : (i) A tangent to a circle intersects it in ............... point(s). (ii) A line intersecting a circle in two points is called a ............. (…

#### NCERT Solutions Class 10 Mathematics Chapter 9 Some Application of Trigonometry

Q.1) A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30° Sol.1) Let AB be the vertical pole AC be…

#### NCERT Solutions Class 10 Mathematics Chapter 8 Introduction to Trigonometry

Exercise 8.1 Q.1) In Δ ABC, right-angled at 𝐵, 𝐴𝐵 = 24 𝑐𝑚, 𝐵𝐶 = 7 𝑐𝑚. Determine : (i) sin 𝐴 , cos 𝐴 (ii) sin 𝐶 , cos 𝐶 Sol.1) In 𝛥 𝐴𝐵𝐶, ∠𝐵 = 90° By Applying Pythagoras theorem , we get 𝐴𝐶2 = 𝐴𝐵2 + 𝐵𝐶2 = (24)2 + 72 = (576 + 49)𝑐𝑚2 = 625 𝑐𝑚2 ⇒ 𝐴𝐶 = 25 (…

#### NCERT Solutions Class 10 Mathematics Chapter 7 Coordinate Geometry

Exercise 7.1 Q.1) Find the distance between the following pairs of points: (i) (2, 3), (4, 1) (ii) (−5, 7), (−1, 3) (iii) (a, b), (− a, − b) Sol.1) (i) Distance between the points is given by Q.2) Find the distance between the points (0, 0) and (36, 15). Can you now…

#### NCERT Solutions Class 10 Mathematics Chapter 6 Triangles

Exercise 6.1 Q.1) Fill in the blanks using correct word given in the brackets: − (i) All circles are __________. (congruent, similar) (ii) All squares are __________. (similar, congruent) (iii) All __________ triangles are similar. (isosceles, equilateral) (iv) Two polygons…

#### NCERT Solutions Class 10 Mathematics Chapter 5 Arithmetic Progressions

Exercise 5.1 Q.1) In which of the following situations, does the list of numbers involved make as arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km. (ii) The amount of air present…

#### NCERT Solutions Class 10 Mathematics Chapter 4 Quadratic Equations

Exercise 4.1 Q.1) Check whether the following are quadratic equations: (i) (𝑥 + 1)2 = 2(𝑥 − 3)                           (ii) 𝑥2 − 2𝑥 = (−2)(3 − 𝑥) (iii) (𝑥 − 2)(𝑥 + 1) = (𝑥 − 1)(𝑥 + 3) …

#### NCERT Solutions Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables

Exercise 3.1 Q.1) Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be." (Isn't this interesting?) Represent this situation algebraically and graphically Sol.1)…

#### NCERT Solutions Class 10 Mathematics Chapter 2 Polynomials

Exercise 2.1 Q.1) The graphs of 𝑦 = 𝑝(𝑥) are given in following figure, for some polynomials 𝑝(𝑥). Find the number of zeroes of 𝑝(𝑥), in each case. Sol.1) (i) The number of zeroes is 0 as the graph does not cut the x-axis at any point. (ii)The number of zeroes is 1…