Complex Numbers and Quadratic Equations-Relation Between Roots and Coefficients (KVPY Stream-SA (Class 11) Math): Questions 8 - 10 of 10

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Question number: 8

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

MCQ▾

Question

If α, β are the roots of x25x+5=0 , than value of 1α+1β is –

Choices

Choice (4) Response
a.

52

b.

32

c.

1

d.

25

Question number: 9

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

MCQ▾

Question

If ax2+bx+c=0 and bx2+cx+a=0 have one common root and a0, then value of a3+b3+c3abc is –

Choices

Choice (4) Response
a.

2

b.

3

c.

1

d. All of the above

Question number: 10

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

MCQ▾

Question

Let α be a root of the equation x2+2x+3=0 . The value of (α+1)(α+3)(α+5)(α+7) is equal to-

Choices

Choice (4) Response
a.

2(α15)

b.

2(6α5)

c.

4(6α15)

d.

4(α5)

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