Complex Numbers and Quadratic Equations-Relation Between Roots and Coefficients (KVPY Stream-SA (Class 11) Math): Questions 1 - 7 of 10

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Question number: 1

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

Appeared in Year: 2012

MCQ▾

Question

Let f(x) be a quadratic polynomial with f(2)=10 and f(2)=2 . Then the coefficient of x in f(x) is

Choices

Choice (4) Response
a.

1

b.

4

c.

2

d.

3

Question number: 2

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

MCQ▾

Question

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

Choices

Choice (4) Response
a.

5

b.

6

c.

-5

d.

-6

Question number: 3

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

Appeared in Year: 2014

MCQ▾

Question

Let r be a root of the equation x2+2x+6=0 . The value of (r+2)(r+3)(r+4)(r+5) is equal to

Choices

Choice (4) Response
a.

126

b.

-51

c.

-126

d.

51

Question number: 4

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

MCQ▾

Question

If the roots of the equation 3x2+px+q=0 are reciprocals to each other, then value of q is –

Choices

Choice (4) Response
a.

2

b.

4

c.

9

d.

3

Question number: 5

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

MCQ▾

Question

Let α be a root of the equation x2+4x+8=0 . The value of (α+2)(α+4)(α+6)(α+8) is equal to-

Choices

Choice (4) Response
a.

–126

b.

-240

c.

48

d.

– 48

Question number: 6

» 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: 7

» 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

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