IMO- Mathematics Olympiad Class 10: Questions 147 - 152 of 889

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Question number: 147

» Polynomials

MCQ▾

Question

If α,β be two zeroes of the quadratic polynomial ax2+bxc , then α2β+β2α =________

Choices

Choice (4) Response

a.

3abcb3a2c

b.

b22aca2

c.

3abcb3c3

d.

b3+3abca2c

Question number: 148

» Polynomials

MCQ▾

Question

If α,β be the zeroes of the quadratic polynomial 10x2+15x+25 , then the value of α+β+αβαβ =________

Choices

Choice (4) Response

a.

52

b.

52

c.

25

d.

25

Question number: 149

» Polynomials

MCQ▾

Question

The sum of the reciprocals of the roots of the equation x2+px+q=0 is ________

Choices

Choice (4) Response

a.

qp

b.

qp

c.

pq

d.

pq

Question number: 150

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Which of the following system of equations has infinitely many solutions?

Choices

Choice (4) Response

a.

12x3y=6,12x+3y=6

b.

x+4y=23,x+y=2

c.

3x+3y24=0,6x3y+39=0

d.

All of the above

Question number: 151

» Polynomials

MCQ▾

Question

If one zero of the cubic polynomial p(x)=x3+2x25x6 is 3 , then other two zeroes are ________

Choices

Choice (4) Response

a.

-1, -2

b.

2, -1

c.

1, 2

d.

Question does not provide sufficient data or is vague

Question number: 152

» Pair of Linear Equations in Two Variables

MCQ▾

Question

he value of k, for which the system of equations 30x+ky+75=0,50x+75y125=0 represent parallel lines is ________

Choices

Choice (4) Response

a.

35

b.

45

c.

15

d.

25

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