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Exercise 4.1 Q1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. […]

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) […]

Q1. Determine which of the following polynomials has (x + 1) a factor:(i) x3 + x2 + x + 1Ans: Let p(x) = x3 + x2 + x + 1The zero […]

Q1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.(i) 4x2–3x+7Ans: The equation 4x2–3x+7 can be written […]

Q1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0?Ans: We know that […]

Q1. State whether the following statements are true or false. Justify your answers.(i) Every irrational number is a real number.Ans: True Reason: Irrational Numbers – A number […]

Exercise 1.3 Q1. Write the following in decimal form and mention the kind of decimal expansion each has. (i) 36/100Ans:= 0.36 (Terminating) (ii) 1/11Ans: (iii) Ans: = 4.125 […]

Exercise 9.1 Q1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at […]

Exercise 6.1 Q1. In Fig. 6.13, lines AB and CD intersect at O. If ∠AOC +∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex […]