Quadratic Equation Worksheet PDF

CLASS X WORKSHEET – QUADRATIC EQUATION 1) The nature of roots of the quadratic equation 9𝑥 2 – 6x – 2 = 0 is______ 2) If one zero of the polynomial p(x) = 6𝑥 2 + 37x – (k – 2) is reciprocal of the other, then find the value of k. 3) Find the value of k for which the roots of the quadratic...

CLASS X WORKSHEET – QUADRATIC EQUATION 1) The nature of roots of the quadratic equation 9𝑥 2 – 6x – 2 = 0 is______ 2) If one zero of the polynomial p(x) = 6𝑥 2 + 37x – (k – 2) is reciprocal of the other, then find the value of k. 3) Find the value of k for which the roots of the quadratic equation 5𝑥 2 − 10𝑥 + 𝑘 = 0 are real and equal. 4) If one root of the quadratic equation 3x2 – 8x – (2k + 1) = 0 is seven times the other, then find the value of k. 5) The quadratic equation whose roots are (2+√3) and (2−√3) is ____ 6) If α and β are roots of the quadratic equation 𝑥 2 – 7x + 10 = 0, find the quadratic equation whose roots are α2 and β2. 7) Find out the roots for the quadratic equation 𝑥 2 +2 √2x – 6 = 0 8) If α, β, are zeroes of polynomial p(x) = 5𝑥 2 + 5x + 1 then find the value of: (i) α2 + β2 (ii) α-1 + β-1 9) Two water taps together can fill a tank in 9 3/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank. 10) A motorboat whose speed in still water is 18 km/h, takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.