Chapter – 3: Pair of Linear Equations in Two Variables
Exercise 3.1 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…
Chapter – 4: Quadratic Equation
Exercise 4.1 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)…
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 – 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 – 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…
Chapter – 3: Coordinate Geometry
Exercise 3.1 1. How will you describe the position of a table lamp on your study table to another person? Solution: For describing the position of table lamp on the study table, we take two lines, a…
