Lines and Angles Class 9 Exercise 6.1 : Solutions of Questions on Page Number : 96 Q1 : In the given figure, lines AB and CD intersect at O. If and find ∠BOE and reflex ∠COE. Answer : Q2 : In the given figure, lines XY and MN intersect at O. If ∠POY = and a:b = 2 : 3, find c. Answer : Let the common ratio between a and b be x. ∴ a = 2x, and b = 3x XY is a straight line, rays OM and OP stand on it. ∴ ∠ XOM + ∠ MOP…
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Exercise 5.1 : Solutions of Questions on Page Number : 85 Q1 : Which of the following statements are true and which are false? Give reasons for your answers. (i) Only one line can pass through a single point. (ii) There are an infinite number of lines which pass through two distinct points. (iii) A terminated line can be produced indefinitely on both the sides. (iv) If two circles are equal, then their radii are equal. (v) In the following figure, if AB = PQ and PQ = XY, then AB = XY. Answer : (i) False. Since through a…
Exercise 4.1 : Solutions of Questions on Page Number : 68 Q1 : The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be Rs x and that of a pen to be Rs y.) Answer : Let the cost of a notebook and a pen be x and y respectively. Cost of notebook = 2 * Cost of pen x = 2y x – 2y = 0 Q2 : Express the following linear equations in the form ax +…
Coordinate Geometry Class 9 Exercise 3.1 : Solutions of Questions on Page Number : 53 Q1 : How will you describe the position of a table lamp on your study table to another person? Answer : Consider that the lamp is placed on the table. Choose two adjacent edges, DC and AD. Then, draw perpendiculars on the edges DC and AD from the position of lamp and measure the lengths of these perpendiculars. Let the length of these perpendiculars be 30 cm and 20 cm respectively. Now, the position of the lamp from the left edge (AD) is 20 cm…
Exercise 2.1 : Solutions of Questions on Page Number : 32 Q1 :Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) (ii) (iii) (iv) (v) Answer : (i) Yes, this expression is a polynomial in one variable x. (ii) Yes, this expression is a polynomial in one variable y. (iii) No. It can be observed that the exponent of variable t in term is , which is not a whole number. Therefore, this expression is not a polynomial. (iv) No. It can be observed that the exponent of variable…
Exercise 1.1 : Solutions of Questions on Page Number : 5 NCERT Solutions for Class 9 Maths: Chapter 1 Number Systems Q1 : Is zero a rational number? Can you write it in the form, where p and q are integers and q ≠ 0? Answer : Yes. Zero is a rational number as it can be represented asetc. Q2 : Find six rational numbers between 3 and 4. Answer : There are infinite rational numbers in between 3 and 4. 3 and 4 can be represented asrespectively. Therefore, rational numbers between 3 and 4 are Q3 : Find five…
Exercise 16.1 : Solutions of Questions on Page Number : 255 Q1 : Find the values of the letters in the following and give reasons for the steps involved. Answer : The addition of A and 5 is giving 2 i.e., a number whose ones digit is 2. This is possible only when digit A is 7. In that case, the addition of A (7) and 5 will give 12 and thus, 1 will be the carry for the next step. In the next step, 1 + 3 + 2 = 6 Therefore, the addition is as follows. Clearly, B is…
Exercise 15.1 : Solutions of Questions on Page Number : 236 Q1 : The following graph shows the temperature of a patient in a hospital, recorded every hour. (a) What was the patient’s temperature at 1 p.m.? (b) When was the patient’s temperature 38.5°C? (c) The patient’s temperature was the same two times during the period given. What were these two times? (d) What was the temperature at 1.30 p.m? How did you arrive at your answer? (e) During which periods did the patient’s temperature show an upward trend? Answer : (a) At 1 p.m., the patient’s temperature was 36.5°C.…
Exercise 14.1 : Solutions of Questions on Page Number : 220 Q1 : Find the common factors of the terms (i) 12x, 36 (ii) 2y, 22xy (iii) 14pq, 28p2q2 (iv) 2x, 3×2, 4 (v) 6abc, 24ab2, 12a2b (vi) 16×3, -4×2, 32x (vii) 10pq, 20qr, 30rp (viii) 3x2y3, 10x3y2, 6x2y2z Answer : (i) 12x = 2 x 2 x 3 x x 36 = 2 x 2 x 3 x 3 The common factors are 2, 2, 3. And, 2 x 2 x 3 = 12 (ii) 2y = 2 x y 22xy = 2 x 11 x x x y The…
Exercise 13.1 : Solutions of Questions on Page Number : 208 Q1 : Following are the car parking charges near a railway station up to 4 hours Rs 60 8 hours Rs 100 12 hours Rs 140 24 hours Rs 180 Check if the parking charges are in direct proportion to the parking time. Answer : A table of the given information is formed as Number of hours 4 8 12 24 Parking charges (in Rs) 60 100 140 180 The ratio of parking charges to the respective number of hours (Rs/ hour) can be calculated as As each ratio…