Polynomials (IMO- Mathematics Olympiad Class 10): Questions 8 - 12 of 81

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 908 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

Question number: 8

» Polynomials

MCQ▾

Question

If αandβ are the roots of the equation x2px+q=0 , then the quadratic equation whose roots are αβ and βα is ________

Choices

Choice (4) Response

a.

px2+(2p2q2)x+q=0

b.

qx2+(2qp2)x+q=0

c.

qx2+(p22q)x+q=0

d.

qx2px+1=0

Question number: 9

» Polynomials

MCQ▾

Question

If αandβ are the roots of the equation 2y23y+1=0 , then the equation whose roots are α2β+3 and β2α+3 is ________

Choices

Choice (4) Response

a.

40x2+14x+1=0

b.

40x214x+1=0

c.

40x2+14x+1=0

d.

40x214x1=0

Question number: 10

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x2(51)x(5+1) , then the value of 1α2+1β2 is ________

Choices

Choice (4) Response

a.

35

b.

35

c.

53

d.

3+5

Question number: 11

» Polynomials

MCQ▾

Question

If α,β be two zeroes of the quadratic polynomial ax2bxc , then (βα)2 =________

Choices

Choice (4) Response

a.

b3+4aca2c

b.

3acb22ac

c.

b24caa2

d.

b24aca2c

Question number: 12

» Polynomials

MCQ▾

Question

2x2+(2k10)x15=(x3)(x4) , then k is equal to ________

Choices

Choice (4) Response

a.

23

b.

32

c.

32

d.

23

Sign In