Chapter – 5: Arithmetic Progressions
Exercise 5.1 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…
Chapter – 6: Triangles
Exercise 6.1 1. Fill in the blanks using correct word given in the brackets: – (i) All circles are __________. (Congruent, similar) Solution: Similar (ii) All squares are __________. (Similar, congruent) Solution: Similar (iii) All __________ triangles are similar….
Chapter – 7: Coordinate Geometry
Exercise7.1 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) Solution: Distance formula to find the distance between two…
Chapter – 8: Introduction to Trigonometry
Exercise 8.1 1. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine: (i) sin A, cos A (ii) sin C, cos C Solution: In a given triangle ABC, right angled at…
Chapter – 9: Some Application of trigonometry
Exercise 9.1 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…
Chapter – 10: Circles
Exercise: 10.1 1. How many tangents can a circle have? Solution: There can be infinite tangents to a circle. A circle is made up of infinite points which are at an equal distance from a point. Since there are…
Chapter – 13: Surface Areas and Volumes
Exercise: 13.1 1. 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid. Solution: The diagram is given as: Given, The Volume (V) of each cube is =…
Chapter – 15: Probability
Exercise: 15.1 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 an event is…
Chapter – 1: Number Systems
Exercise – 1.1 1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0? Solution: We know that, a number is said to be…
Chapter – 2: Polynomials
Exercise 2.1 1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4×2–3x+7 Solution: The equation 4×2–3x+7 can be written as 4×2–3×1+7×0 Since x is the only variable…
