Quadratic Equations

Important Questions

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…

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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…

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Q)  If 𝛼, β are zeroes of quadratic polynomial 5×2 + 5x + 1, find the value of 1. 𝛼2 + 𝛽2 2. 𝛼‾1 + 𝛽‾1 Ans: Given…

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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…

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

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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…

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

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

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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…

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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…

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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.…

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