Wednesday 08th April 2020 CBSE Guess > Papers > Important Questions > Class X > 2014 > Mathematics > Math-index > Mathematics By Mr. Ajai Kumar Shukla CBSE CLASS X Mathematics CLASS X MATHS TEST (REAL NUMBERS, POLYNOMIALS) Choose the correct option : EACH QUESTION 1 MARKS (SECTION A) Every positive even integer is of the form: q 2q 2q + 1 2q -1 Every positive odd integer is of the form q 2q 2q + 1 2q -1 Decimal representation of an irrational number is always: non-terminating ,non-repeating terminating repeating non-terminating, repeating n2 - 1 is divisible by 8, if n is : an odd integer an integer a natural number an even integer According to Euclid’s division algorithm using Euclid’s division lemma for any two positive integers a & b with a > b enables us to find: HCF LCM DECIMAL EXPANSION PROBABILITY Sum of the zeroes of a quadratic polynomial p(x) = ax2 + bx + c is given by : c/a a/c – b/a – a/b The degree of the polynomial (x + 1) (x2 - x - x4 + 1) is : 2 3 4 5 The quadratic polynomials whose sum of zeroes is +3 & product of zeroes is +2 is: x2 + 3x -2 x2 - 2x + 3 x2 - 3x + 2 x2 - 3x - 2 If - 4 is a zero of the polynomial x2 - x - (2 + 2k), then the value of k is : - 4/3 4/3 2/3 - 2/3 The Q.P. p(y), the sum of whose zeroes is - 15 & one zeroes is -7, is : y2 - 15y - 56 y2 + 15y + 56 y2 + 15y + 54 y2 + 15 - 56 Note : EACH QUESTION 3 MARKS (SECTION B) Prove that √5 is irrational. Show that (4 - √3) is irrational. Divide 30x4 + 11x3 - 82x2 - 12x + 48 by (3x2 + 2x - 4) & verify the result by division algorithm. Prove that 3+√5 is an irrational number. Find a Q.P. the sum of whose zeroes is 7 & their product is 12. Hence find the zeroes of the polynomials. Find all the zeroes of the polynomials x3 + 3x2 - 2x - 6, if two of its zeroes are -√2 & √2. If α,  β are the zeroes of the polynomials, such that α+ β = 6 α β = 4, then write the polynomials. For what value of k, will the following system of linear equations have infinitely many solutions? 2x + 3y = 4 & (k+2)x + 6y=3k + 2. Determine a & b for which the following system of linear equations has infinite number of solutions 2x - (a - 4) y = 2b + 1; 4x - (a -1) y = 5b -1. If 6 years hence a man’s age will be 3times the age of his son & three years ago he was 9times as old as his son, find the present age of the man? CBSE Important Questions Class X Mathematics By : Mr. Ajai Kumar Shukla   Submitted By : Mr. Ajai Kumar Shukla, RACHNA TUTORIALS, 6/1003 JANKIPURAM VISTAR LUCKNOW Mobile : +91 - 9415467421 Email Id : [email protected]