MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 8

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IMPORTANT

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A train travels $360$ $k m$ at a uniform speed. If the speed had been $5 k m / h$ more, it would have taken $1$ hour less for the same journey. Find the speed of the train.

Important Questions on Quadratic Equations

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 9

Two water taps together can fill a tank in

9 \frac{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.

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MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 10

An express train takes

1

hour less than a passenger train to travel

132 k m

between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is

11 k m / h

more than that of the passenger train, find the average speed of the two trains.

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MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 11

Sum of the areas of two squares is

468 m^{2}

. If the difference of their perimeters is

24 m

, find the sides of the two squares.

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MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 1

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them :

2 x^{2} - 3 x + 5 = 0

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MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 1

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them.

3 x^{2} - 4 \sqrt{3} x + 4 = 0

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MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 1

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them.

2 x^{2} - 6 x + 3 = 0

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MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 2

Find the values of

k

for each of the following quadratic equations, so that they have two equal roots.

2 x^{2} + k x + 3 = 0

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 2

Find the values of $k$ for the following quadratic equation, so that it has two equal roots.

k x (x - 2) + 6 = 0