Complex Numbers and Quadratic Equations (KVPY Stream-SA (Class 11) Math): Questions 26 - 27 of 27

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Question number: 26

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

MCQ▾

Question

Let A(x)=x27x+p and B(x)=x25x+q , where p and q are positive integers. Suppose hcf(A(x),B(x))=x2 and k(x)=lcm(A(x),B(x)) . If the coefficient of the highest degree term of k (x) is 1, the sum of the roots of (x2)+k(x) is –

Choices

Choice (4) Response

a.

22

b.

9

c.

10

d.

27

Question number: 27

» 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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