Exercise 4.1 1. Complete the last column of the table. S. No. Equation Value Say, whether the equation is satisfied. (Yes/No) (i) x + 3 = 0 x = 3 (ii) x + 3 = 0 x…

EXERCISE 5.1  1. Find the complement of each of the following angles: (i) Two angles are said to be complementary if the sum of their measures is 90o. The given angle is 20o Let the measure of…

Exercise 6.1 1. In Δ PQR, D is the mid-point of QR. (i)  PM is ___. Solution: – Altitude An altitude has one end point at a vertex of the triangle and other on the line containing the opposite…

Exercise 7.1 1. Complete the following statements: (a) Two-line segments are congruent if ___________. Solution: – Two line segments are congruent if they have the same length. (b) Among two congruent angles, one has a measure of…

Exercise 8.1 1. Find the ratio of: (a) ₹ 5 to 50 paise Solution: – We know that, ₹ 1 = 100 paise Then, ₹ 5 = 5 × 100 = 500 paise Now we have to…

Exercise 9.1 1. List five rational numbers between: (i) -1 and 0 Solution: – The five rational numbers between -1 and 0 are, -1< (-2/3) < (-3/4) < (-4/5) < (-5/6) < (-6/7) < 0 (ii) -2…

Exercise 10.1 1. Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only. Solution: – Steps for construction 1. Draw a line AB….

Exercise 11.1 1. The Length and the breadth of a rectangular piece of land are 500 m and 300 m, respectively. Find (i) Its area (ii) the cost of the land, if 1 m2 of the land costs…

Exercise 12.1 1. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations. (i) Subtraction of z from y. Solution: – = Y – z (ii) One-half of the sum of numbers x…

Exercise 13.1 1. Find the value of: (i) 26 Solution: – The above value can be written as, = 2 × 2 × 2 × 2 × 2 × 2 = 64 (ii) 93 Solution: – The…