HomeCBSE CLASS 10 MATHQuadratic Equation: Class10 Quadratic Equation: Class10 Quiz Q1.If one root of the quadratic equation 6x² − 𝑥 − 𝑘 = 0 is 2/3 , then find the value of 𝑘. 2/3 3 2 1/3 Q2. Find the value of 𝑘, for which one root of the quadratic equation 𝑘x² − 14𝑥 + 8 = 0 is six times the other 3 ohm 5 ohm 5/6 ohm -2/3 ohm Q3. If 𝑥 = (−1/2), is a solution of the quadratic equation 3x² + 2𝑘𝑥 − 3 = 0, find the value of k? 2/3 3/5 9/4 None Q4.If the quadratic equation 𝑝x² − 2√5 𝑝𝑥 + 15 = 0 has two equal roots, then find the value of P? 2/3 3 3/2 -1/2 Q5.If 1 is a root of the equations 𝑎y² + 𝑎𝑦 + 3 = 0 and 𝑦^2 + 𝑦 + 𝑏 = 0, then 𝑎𝑏 equals: 3 -3 1/3 None of the above Q6.If the quadratic equation 𝑚x² + 2𝑥 + 𝑚 = 0 has two equal roots, then the values of 𝑚 are ±2 ±1 ±1/3 None of these Q7.The roots of the equation x² + 𝑥 − 𝑝(𝑝 + 1) = 0, where 𝑝 is a constant, are −p,−(p+1) p,−(p+1) −p,(p+1) None of these Q8. What is the nature of roots of the quadratic equation 4x² −12𝑥 − 9 = 0? only one real root two complex roots. two real and distinct roots None of these Q9.For what value of 𝑘 the quadratic equation x² − 𝑘𝑥 + 4 = 0 has equal roots? ±1 ±2 ±3 ±4 Q10. Which of the following is not a quadratic equation. x² + 3x – 5 = 0 x² + x^{3} – 5 = 0 3 + x + x² = 0 x² – 9 = 0 Q11. The quadratic equation has degree 0 1 2 3 Q12.The polynomial equation x (x + 1) + 8 = (x + 2) (x – 2) is linear equation quadretic equation cubic equation None of these Q13. The quadratic equation whose roots are 1 is 2x² + x – 1 = 0 2x² – x – 1 = 0 2x² + x + 1 = 0 2x² – x + 1 = 0 Q14. The sum of the roots of the quadratic equation 3x² – 9x + 5 = 0 is 3 6 -3 2 Q15. If the roots of ax² + bx + c = 0 are in the ratio m : n, then mna² = (m + n) c mnb² = (m + n) ac mn b² = (m + n)² ac mnb² = (m – n)² ac Q16. If the roots of px² + qx + 2 = 0 are reciprocal of each other, then P = 0 p = -2 p = ±2 p = 2 Q17. The equation 12x² + 4kx + 3 = 0 has real and equal roots, if k = ±3 k = ±4 k = ±2 k = ±1 Q18. Roots of a quadratic equation are imaginary when discriminant is ______________ zero less to zero more than zero None of the above Q19.The sum of the squares of two consecutive natural numbers is 313. The numbers are 13,14 12,13 13,15 none of the above Q20.The roots of the equation (b – c) x² + (c – a) x + (a – b) = 0 are equal, then 2a = b + c 2c = a + b b = a + c 2b = a + c Submit Your Answers Newer Older