RD Sharma Chapter 2: Polynomials Exercise 2.3 Solution Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing f(x) by g(x) : f(x) = x^3 – 6x^2 + 11x – 6, g(x) = x^2 + x + 1 Watch Solution Apply division algorithm to find the quotient q(x) and remainder r(x) in dividing […]
RD Sharma Chapter 2: Polynomials Exercise 2.2 Solution Verify that the numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients f(x)=2x^3+x^2-5x+2; 1/2, 1, -2 Watch Solution Verify that the numbers given along side of the cubic polynomials below are their zeros. Also, verify the
RD Sharma Chapter 2: Polynomials Exercise 2.1 Solution Find the zeros of quadratic polynomial f(x) = x^2 – 2x – 8 and verify the relationship between the zeros and their coefficients. Watch Solution Find the zeros of quadratic polynomial g(s) = 4s^2 – 4s + 1 and verify the relationship between the zeros and their
RD Sharma Chapter 1: Real Numbers Multiple Choice Question : MCQs The exponent of 2 in the prime factorisation of 144, is (a) 4 (b) 5 (c) 6 (d) 3 Watch Solution The LCM of two numbers is 1200. Which of the following cannot be their HCF? (a) 600 (b) 500 (c) 400 (d) 200 Watch
RD Sharma Chapter 1: Real Numbers Exercise 1.6 Solution 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. (i) 23/8 (ii) 125/441 (iii) 35/50 (iv) 77/210 (v) 129/(22 x 57 x 717) (vi) 987/1050Watch Solution Write down the decimal expansions
RD Sharma Chapter 1: Real Numbers Exercise 1.5 Solution Show that the following numbers are irrational. (i) 1/√2 (ii) 7√5 (iii) 6 + √2 (iv) 3 − √5 Watch Solution Show that 1/√2 is an irrational. Watch Solution Show that 7√5 is an irrational. Watch Solution Show that 6+√2 is an irrational. Watch Solution Show
Class 10 Maths – RD Sharma Chapter 1: Real Numbers Exercise 1.4 Solution (Step-by-Step Guide) Find the LCM and HCF of the pairs of integers and verify that LCM × HCF = Product of the integers: 26 and 91 Watch Solution Find the LCM and HCF of the pairs of integers and verify that LCM
RD Sharma Chapter 1: Real Numbers Exercise 1.3 Solution Express each of the following integers as a product of its prime factors : {i} 420 {ii} 468 {iii}945 {iv} 7325 Watch Solution Determine the prime factorization of each of the following positive integer {i} 20570 {ii} 58500 {iii} 45470971 Watch Solution Explain why 7 x 11
RD Sharma Chapter 1: Real Numbers Exercise 1.2 Solution Find the HCF of the following pairs of numbers : 32 and 54 Watch Solution Find the HCF of the following pairs of numbers : 18 and 24. Watch Solution Find the HCF of the following pairs of numbers : 70 and 30. Watch Solution Find
RD Sharma Chapter 1: Real Numbers Exercise 1.1 If a and b are two odd positive integers such that ab, then prove that one of the two numbers (𝑎+𝑏)/2 and (𝑎−𝑏)/2is odd and the other is even.Watch Solution Prove that the product of two consecutive positive integers is divisible by 2. Watch Solution Prove that