Mathematics is like music – Enjoy it!!!
Question 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…
Read MoreExample 1: Let us take the example given in Section 3.1. Akhila goes to a fair with ` 20 and wants to have rides on the Giant Wheel and play Hoopla. Represent this situation algebraically and graphically (geometrically). Example 2:…
Read MoreConcept: In this tutorial, you will be introduced to the pair of Linear equations and their graphical representation. The concepts have been explained with the help of very easy examples. Concept: The ratio of the coefficients of a pair of…
Read MoreQuestion 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. Class 10 | Examples Class 10 | Exercise 2.2
Read MoreConcept: In this tutorial, you will understand what is a Linear, Quadratic and Cubic polynomial and also what is a zero of a polynomial and its geometric meaning. Concepts are explained with examples and graphically. Concept: Relationship between zeroes and…
Read MoreQuestion 1: Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : (i) p(x) = x3 – 3×2 + 5x – 3, g(x) = x2 – 2 (ii) p(x) =…
Read MoreQuestion 1: Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) x2 –2x–8 (ii) 4s2 –4s+1 (iii) 6×2 –3–7x (iv) 4u2 +8u (v) t2 –15 (vi) 3×2 –x–4 Question 2:…
Read MoreExample 1: Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x). Example 2: Find the…
Read MoreQuestion 1: Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: Question 2: Write down the decimal expansions of those rational numbers in Question 1…
Read MoreQuestion 1: Prove that √5 is irrational. Question 2: Prove that 3 + √5 is irrational. Question 3: Prove that the following are irrationals:(i) 1/√2 (ii) 7√5 (iii) 6 + √2 Class 10 | Exercise 1.2 Class 10 | Exercise…
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