## Quadratic Equations

### Important Questions

Q) Solve the following quadratic equations by factorization method: Ans: Please do press “Heart” button if you liked the solution.

Q) Solve the following quadratic equations by factorization method: Ans: Please do press “Heart” button if you liked the solution.

Q) A train travels at a certain average speed for a distance 63 km and then travels a distance of 72 km at an average speed…

Q) A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less…

Q) Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term can…

Q) Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term can…

Q) Solve the following quadratic equation by factorization method: Ans: The Constant term can also be presented as: Similarly, Coefficient of the middle term…

Q) Solve the following quadratic equation by factorization method: Ans: Hence, x = -1, Since, it is given that x Hence, x = –…

Q) Solve the following quadratic equation by factorization method: Ans: Please do press “Heart” button if you liked the solution.

Q) If one root of the quadratic equation 2X2 + kX − 6 = 0 is 2, find the value of k. Also, find the other root. Ans: We…

Q) If X = and X = − 3 are the roots of the equation aX2 + 7X + b = 0, find the values of…

Q) The graph of the polynomial – ax²+bx+c is shown below. Write the signs of ‘a’ and ‘b² – 4ac’. Ans: Clearly, f(x) = ax² +…

Q) Find the value of m for which the quadratic equation (m + 1) y2 – 6(m+1) y + 3(m+9) = 0, m ≠ -1…

Q) If 𝛼, β are zeroes of quadratic polynomial x2 – 2x + 3, find the polynomial whose roots are:1. 𝛼 + 2, 𝛽 +…

Q) Raj and Ajay are very close friends. Both the families decide to go to Ranikhet by their own cars. Raj’s car travels at a…

Q) Two water taps together can fill a tank in 9 hours. The tap of larger diameter takes 10 hours less than the smaller one to…

Q) A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to…

Q) If 𝛼, β are zeroes of quadratic polynomial 5×2 + 5x + 1, find the value of1. 𝛼2 + 𝛽22. 𝛼‾1 + 𝛽‾1 Ans: Given polynomial equation…

Q) In a pool at an aquarium, a dolphin jumps out of the water travelling at 20 cm per second. Its height above water level…

Q) Find the value of ‘p’ for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the…

Q) Find the discriminant of the quadratic equation 4×2 – 5 = 0 and hence comment on the nature of the equation. Ans: Given equation is…

Q) Find the value of ‘p’ for which the quadratic equation px (x – 2) + 6 = 0 has two equal roots. Ans: Given…

Q) Find the sum and product of the roots of the quadratic equation 2×2 – 9x + 4 = 0. Ans: We know that sum…

Q) If one zero of the polynomial p(x) = 6×2 + 37 x – (k-2) is reciprocal of the other, then find the value of…

Q)Jaya scored 40 marks in a test getting 3 marks for each correct answer and losing 1 mark for each incorrect answer., Had 4 marks…

Q) Half of the difference between two numbers is 2. The sum of the greater and twice the smaller number is 13. Find the numbers.…