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

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IMPORTANT

Earn 100

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them :
$2 x^{2} - 3 x + 5 = 0$

Important Questions on Quadratic Equations

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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

HARD

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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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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

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MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 3

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is

800 m^{2}

? If so, find its length and breadth.

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

Is the following situation possible? If so, determine their present ages.
The sum of the ages of two friends is

20

years. Four years ago, the product of their ages in years was

48

.

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MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 5

Is it possible to design a rectangular park of perimeter

80 m

and area

400 m^{2}

? If so, find its length and breadth.