Short Notes Relationship Between Zeroes and Coefficients – Class 10 Introduction: In Class 10, understanding the relationship between the zeroes (roots) of a polynomial and its coefficients is fundamental. This relationship helps in connecting the roots to the polynomial constants. What is a Polynomial? A polynomial in one variable \( x \) of degree \( … Read more
Factorisation by Splitting the Middle Term with Questions Understanding the Factorization Process Factorization of quadratic polynomials of the form x2 + bx + c involves a systematic approach to simplify complex expressions into more manageable forms. This method, often referred to as “splitting the middle term,” allows us to break down quadratic equations into factors that … Read more
Graphical Method of Finding Solution of a Pair of Linear Equations To solve the pair of linear equation proceed as below. Step 1: Draw a graph for each linear equation. Step 2: Find the coordinate of the point of intersection of the two drawn lines. Step 3: The coordinates of the point of intersection of … Read more
Extra Questions for Class 10 Maths Chapter 4 Quadratic Equations Nature of Roots of a Quadratic Equation Let the given equation be ax2 + bx + c = 0, where a = 0. Then, the discriminant is given by D = (b2 – 4ac) . And, the roots of the given equation are Case 1: … Read more
Word Problems on Quadratic Equations for Class 10 Here we are providing Word Problems on Quadratic Equations for Class 10 Maths. These questions are prepared by subject experts. Students can use these questions for better practice and to obtain marks in the exam. Q.1. The product of two consecutive positive integers is 306. Find the … Read more
Extra Questions For Class 10 Maths Chapter 2 Polynomials Here we are providing extra questions for class 10 maths chapter 2 polynomials. These questions are prepared by subject expert. Students can use these extra questions for practice. QUADRATIC POLYNOMIALRelationship between zeroes and coefficientsGeneral form of Quadratic polynomial: ax2 + bx + c, a ≠ 0 … Read more
ALGEBRAIC INTERPRETATION OF PAIR OF LINEAR EQUATIONS IN TWO VARIABLES The pair of linear equations represented by these lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 Q.1. On comparing the ratios a1/a2, b1/b2, c1/c2 , find out whether the lines representing the following pairs of linear equations intersect at a … Read more
nth Term of an ARITHMETIC PROGRESSION ( AP )nth term an of the AP with first term a and common difference d is given by an = a + (n – 1) d. nth Term from the end of an ARITHMETIC PROGRESSION ( AP)Let the last term of an AP be ‘l’ and the common … Read more
Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur. The prime factorisation of a natural number is unique, except for the order of its factors. ⊕ Property of HCF and LCM of two positive integers ‘a’ and … Read more
Extra Questions On Euclid’s Division Lemma Question:Without actually performing the long division, state whether the following rational numbers willhave a terminating decimal expansion or a non-terminating repeating decimal expansion: (i) 13 / 3125 (ii) 129 / 225775 (iii) 77 / 210 (iv) 14587 / 1250 (v) 833 / 225572 Related Posts
Extra Questions On Irrationality of Numbers Question: Prove that √5 is an irrational number. Solution: Let √5 is a rational number then we have √5=p/q, where p and q are co-primes. ⇒ p =√5q Squaring both sides, we get p2=5q2 ⇒ p2 is divisible by 5 ⇒ p is also divisible by 5 So, assume p … Read more
Extra Questions On Euclid’s Division Algorithm Euclid’s division algorithm is a technique to compute the Highest Common Factor (HCF) of two given positive integers. Recall that the HCF of two positive integers a and b is the largest positive integer d that divides both a and b. To obtain the HCF of two positive integers, … Read more
Extra Questions On Euclid’s Division Lemma Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, where 0 ≤ r < b .Here we call ‘a’ as dividend, ‘b’ as divisor, ‘q’ as quotient and ‘r’ as remainder.≫ Dividend = (Divisor x Quotient) + RemainderIf in … Read more
