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CBSE Notes Class 10 2020 : Mathematics (Vidhyalakshmi School, North Arcot) Quadratic Equations

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David Vishnu
Vidhyalakshmi School, North Arcot

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VIDHYALAKSHMI [CBSE CURRICULUM] Chennangkuppam MATHS - QUESTION BANK Chapter Name Quadratic Equations Grade: X Name of the Student: 1 MARK 1. Write the standard form of a quadratic equation. 2. Check whether quadratic equation or not: x(x + 1) + 8 = (x + 2)(x -2). 3. What constant number must be added and subtracted to 4x2+ 12x + 8 = 0 to solve it by method of completing the square? 4. If the equation x2 + 4x + k = 0 has real and distinct roots, then find the value of k? 5. Find the nature of the roots for the quadratic equation 2x2 - 5 x + 1 = 0 6. What is the degree of a quadratic equation? 7. Find the value of p for which x(x- 4) + p = 0 has equal roots? 8. Write as a quadratic equation: Product of two consecutive positive integers is 306 . 9. If (1- b) is a root of the quadratic equation x2 + bx + 1 b = 0, then find the value of b. 2 MARKs 3 1. Find the value of p, if the quadratic equation p2x2 12x + p + 7 = 0 has the root . 2. Solve : 10x - 1 2 = 3. Solve (2x 3)2 = 25 Find the value of k for which the quadratic equation 9x2 3kx + k = 0 has equal roots. Solve for x: x2 ( 3 + 1)x + 3 = 0. Find whether the quadratic equation x2 x + 2 = 0 has equal roots or not. If yes, find the roots. 7. Find the numerical difference of the roots of the equation x2 7x 18 = 0. 8. In a football match Messi kicked three goals less than twice the goals kicked by Ronaldo. The product of goals kicked by them is 20. Represent the above situation in the form of quadratic equation. 9. If 2 is root of the quadratic equation 3x2 + px 8 = 0 and the quadratic equation 4x2 2px + k = 0 has equal roots, find k. 10. State whether the following quadratic equation have distinct real roots. Justify your answer. x(1 x) 2 = 0. 11. The product of two consecutive positive integers is 306. Represent the situation in the form of equation. 12. Divide 32 into two parts such that their product is 175. 3. 4. 5. 6.

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