# Class 10 Maths Chapter 4 Quadratic Equations | Question Bank

## Class 10 Maths Chapter 4 Quadratic Equations

1 Mark Questions:

Q1. Find the roots of the equation x2 – 3x – m (m + 3) = 0, where m is a constant. (2011OD)

Q2. If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0, then find the value of ab. (2012D)

Q3. If x = – 1/2 , is a solution of the quadratic equation 3x2 + 2kx – 3 = 0, find the value of k. (2015D)

2 Marks Questions:

Q1. Find the value of p so that the quadratic equation px(x – 3) + 9 = 0 has two equal roots. (2011D, 2014OD)

Q2. Find the roots of 4x2 + 3x + 5 = 0 by the method of completing the squares. (2011D)

Q3. Find the value of m so that the quadratic equation mx (x – 7) + 49 = 0 has two equal roots. (2011OD)

Q4. 36x2 – 12ax + (a2 – b2) = 0 (2011OD)

Q5. Find the value(s) of k so that the quadratic equation x2 – 4kx + k = 0 has equal roots. (2012D)

Q6. Find the value of k for which the equation x2 + k(2x + k – 1) + 2 = 0 has real and equal roots. (2017D)

Q7. Find the value of p for which the roots of the equation px(x – 2) + 6 = 0, are equal. (2012OD)

Q8. Solve the quadratic equation 2x2 + ax – a2 = 0 for x. (2014D)

Q9. Find the values of p for which the quadratic equation 4x2 + px + 3 = 0 has equal roots. (2014OD)

Q10. Solve the following quadratic equation for x: 4x2– 4a2x + (a4 – b4) = 0. (2015D)

Q11. Solve the following quadratic equation for x: 9x2 – 6b2x – (a4 – b4) = 0 (2015D)

Q12. Solve the following quadratic equation for x: 4x2 + 4bx – (a2 – b2) = 0 (20150D)

Q13. Solve the following quadratic equation for x: x2 – 2ax – (4b2 – a2) = 0) (2015OD)

Q14. Find the value of p, for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the other. (20170D)

Q15. If -5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x) + k = 0 has equal roots, find the value of k. (2016OD).