Chapter 2 Polynomials Ex 2.2 eng
Chapter 2 Polynomials Ex 2.2 Question 1.Find the value of the polynomial 5x -4×2 + 3 at (i) x = 0 (ii) x = – 1 (iii) x = 2 Solution: Let p (x) = 5x – 4×2+ 3 (i) The value of p (x) = 5x – 4×2+ 3 at x= 0 is p(0) = 5 […]
Chapter 2 Polynomials Ex 2.1 eng
Chapter 2 Polynomials Ex 2.1 Question 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 (ii) y2 + √2 (iii) 3 √t + t√2 (v) x10+ y3+t50 Solution: (i) 4×2 – 3x + 7 is an expression having only non-negative integral powers […]
Chapter 1 Number Systems Ex 1.6
Chapter 1 Number Systems Ex 1.6 Question 1. Find: Solution: Question 2. Find: Solution: Question 3. Simplify: Solution:
Chapter 1 Number Systems Ex 1.5
Chapter 1 Number Systems Ex 1.5 Question 1. Classify the following numbers as rational or irrational. Question 2. Simplify each of the following expressions Solution: Question 3. Question 4. Question 5. Rationalise the denominator of the following Solution:
Chapter 1 Number Systems Ex 1.4
Chapter 1 Number Systems Ex 1.4 Question 1. Visualise 3.765 on the number line, using successive magnification. Solution: We know that, 3.765 lies between 3 and 4. So, let us divide the part of the number line between 3 and 4 into 10 equal parts and look at the portion between 3.7 and 3.8 through a […]
Chapter 1 Number Systems Ex 1.3
Chapter 1 Number Systems Ex 1.3 Question 1. Write the following in decimal form and say what kind of decimal expansion each has Solution: Question 2. Solution: Question 3. Question 4. Question 5. Question 6. Question 7. Write three numbers whose decimal expansions are non-terminating non-recurring. Solution: 0.74074007400074000074… 0.6650665006650006650000… 0.70700700070000… Question 8. Solution: To find irrational […]
Chapter 1 Number Systems Ex 1.2
Chapter 1 Number Systems Ex 1.2 Question 1. State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number. (ii) Every point on the number line is of the form √m , where m is a natural number. (iii) Every real number is an irrational number. Solution: […]
Chapter 1 Number Systems Ex 1.1
Chapter 1 Number Systems Ex 1.1 Question 2. Find six rational numbers between 3 and 4. Solution: There can be infinitely many rationals between 3 and 4, one way is Question 3. Solution: Question 4. State whether the following statements are true or false. Give reasons for your answers. ‘ (i) Every natural number is a […]