Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 23

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11th ICSE

IMPORTANT

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Find the condition if the equations $a x^{2} + b x + c = 0$ and $a^{'} x^{2} + b^{'} x + c^{'} = 0$ have reciprocal roots.

Important Questions on Quadratic Equations

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 24

If the equations

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

and

x^{2} - 3 x - 4 = 0

have a common root, find possible values of

k

and also find the common root.

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 25

If the equations

x^{2} - 11 x + k = 0

and

x^{2} - 14 x + 2 k = 0

have a common root, find possible values of

k

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.4>Q 26

If the equations

a x^{2} + b x + c = 0

and

c x^{2} + b x + a = 0

have a common root, prove that either

a + b + c = 0

or

a - b + c = 0

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.5>Q 1

Draw the graph of

f (x) = x^{2} - 3 x - 4

and hence discuss the sign of

f (x)

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.5>Q 2

Discuss the sign of

f (x) = 2 x^{2} + 3 x + 5

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.5>Q 2

Discuss the sign of

f (x) = 3 x^{2} - 6 x + 3

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.5>Q 2

Discuss the sign of

f (x) = 2 - x - x^{2}

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 6 - Quadratic Equations>EXERCISE 6.5>Q 3

For what values of

a

, the sign of

x^{2} - (a + 2) x + 4

is always positive.