Complex Numbers and Quadratic Equations (KVPY Stream-SA (Class 11) Math): Questions 20 - 25 of 27

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Question number: 20

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

MCQ▾

Question

If the roots of the equation (a2b2)x22(acbd)x+(c2d2)=0 are equal then,

Choices

Choice (4) Response

a.

ac=bd

b.

ad+bc=0

c.

ab=dc

d.

ab=cd

Question number: 21

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

MCQ▾

Question

If α2β2 =54, where α, β are the roots of the equation 2x2+5x+c=0, then the value of c is –

Choices

Choice (4) Response

a.

3

b.

2

c.

0

d.

4

Question number: 22

» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots

MCQ▾

Question

If α, β are the roots of ax2+bx+c=0, then that equation whose roots are 1α+β,1α+1β is –

Choices

Choice (4) Response

a.

bcx2+(b2+ac)x+ab=0

b.

acx2+(a2+bc)x+bx=0

c.

abx2+(c2+ab)x+ca=0

d.

None of the above

Question number: 23

» 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: 24

» 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: 25

» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots

MCQ▾

Question

The equation whose one roots is 2(21) , is

Choices

Choice (4) Response

a.

x2+4x2=0

b.

x24x+2=0

c.

x2+4x+2=0

d.

x24x2=0

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