Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q I

EASY

12th Telangana Board

IMPORTANT

Earn 100

Form polynomial equations of the lowest degree, with roots as $0, 1, \frac{- 3}{2}, \frac{- 5}{2}$ .

Important Questions on Theory of Equations

EASY

12th Telangana Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q I

If

α, β, γ

are the roots of

4 x^{3} - 6 x^{2} + 7 x + 3 = 0

, then find the value of

α β + β γ + γ α

.

EASY

12th Telangana Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q I

If

1, 1, α

are the roots of

x^{3} - 6 x^{2} + 9 x - 4 = 0,

then find

α

.

EASY

12th Telangana Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q I

If

- 1, 2

and

α

are the roots of

2 x^{3} + x^{2} - 7 x - 6 = 0,

then find

α

.

EASY

12th Telangana Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q I

If

1, - 2

and

3

are the roots of

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

, then find

a

.

EASY

12th Telangana Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q I

If the product of the roots of

4 x^{3} + 16 x^{2} - 9 x - a = 0

is

9

, then find

a

.

EASY

12th Telangana Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q I

Find $s_{1}, s_{2}, s_{3}$ and $s_{4}$ for the following equation.

$x^{4} - 16 x^{3} + 86 x^{2} - 176 x + 105 = 0$

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12th Telangana Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q I

Find $s_{1}, s_{2}, s_{3}$ and $s_{4}$ for each of the following equations.

$8 x^{4} - 2 x^{3} - 27 x^{2} + 6 x + 9 = 0$

EASY

12th Telangana Board

IMPORTANT

Intermediate Second Year Mathematics Paper 2A>Chapter 4 - Theory of Equations>Exercise 4(a)>Q II

If

α, β

and 1 are the roots of

x^{3} - 2 x^{2} - 5 x + 6 = 0,

then find

α

and

β

.