Chapter 4 – Quadratic Equations

At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than t^2/4 minutes. Find t. At t minutes past 2 pm the time needed by the minutes hand of a clock to show 3 pm was found to [...]

In the centre of a rectangular lawn of dimensions 50 m x 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m^2 [see Figure]. Find the length and breadth of the pond. a rectangular pond has to be constructed so that the [...]

At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha. Asha’s age would be one year [...]

If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now? If Zeba were younger by 5 years than what she really is then the square of her age (in [...]

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train. A train travelling at a uniform speed for 360 km would have taken 48 minutes less to travel the same [...]

A natural number, when increased by 12, equals 160 times its reciprocal. Find the number. A natural number equals 160 times its reciprocal. Find the number. when increased by 12 November 23, 2020 Category: Chapter 4 - Quadratic Equations , Maths , NCERT Class 10 ,

Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number. Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number. November 23, 2020 Category: Chapter 4 - Quadratic Equations , Maths , NCERT Class 10 [...]

Find whether the following equations have real roots. If real roots exist, find them (v) x^2 + 5√5 – 70=0 find them (v) x^2 + 5√5 - 70=0 Find whether the following equations have real roots. If real roots exist November 23, 2020 Category: Chapter 4 - Quadratic Equations , Maths , NCERT Class 10 [...]

Find whether the following equations have real roots. If real roots exist, find them (iv) 1 / 2x-3 + 1 / x-5 = 1 , x ≠ 3 / 2 , 5 5 find them (iv) 1 / 2x-3 + 1 / x-5 = 1 Find whether the following equations have real roots. If real [...]

Find whether the following equations have real roots. If real roots exist, find them (iii) 5x^2 – 2x – 10 = 0 find them (iii) 5x^2 - 2x - 10 = 0 Find whether the following equations have real roots. If real roots exist November 23, 2020 Category: Chapter 4 - Quadratic Equations , Maths [...]