Exercise 11.1 Page: 220 In each of the following, give the justification of the construction also: 1. Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts. Construction Procedure: A line segment with a measure of 7.6 cm length is divided in the ratio …
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Exercise: 10.1 (Page No: 209) 1. How many tangents can a circle have? Answer: 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 infinite points on the circumference of a circle, infinite tangents can be drawn from them. …
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Exercise 9.1 Page No: 203 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°. (see fig. 9.11) Solution: …
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Exercise 8.1 Page: 181 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 B = ∠B = 90° Given: AB = 24 cm and BC = 7 cm According …
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Exercise7.1 Page No: 161 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 points (x1, y1) and (x2, y2) is, say d, 2. Find the distance between the …
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Exercise 6.1 Page: 122 1. Fill in the blanks using correct word given in the brackets:- (i) All circles are __________. (congruent, similar) Answer: Similar (ii) All squares are __________. (similar, congruent) Answer: Similar (iii) All __________ triangles are similar. (isosceles, equilateral) Answer: Equilateral (iv) Two polygons of the same number of sides are similar, if (a) …
Exercise 5.1 Page: 99 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. Solution: We can write the given condition as; …
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Exercise 4.1 Page: 73 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) (iv) (x – 3)(2x +1) = x(x + 5) (v) (2x – 1)(x – 3) = …
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Exercise 3.1 Page: 44 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. Solutions:Let the present age of Aftab be ‘x’. …
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Exercise 2.1 Page: 28 1. The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case. Solutions: Graphical method to find zeroes:- Total number of zeroes in any polynomial equation = total number of times the curve intersects x-axis. (i) …
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