IMO- Mathematics Olympiad Class 10: Questions 131 - 135 of 908

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Question number: 131

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations x3y3=0and3xky2=0 has no solution, is ________

Choices

Choice (4) Response

a.

2

b.

8

c.

1

d.

9

Question number: 132

» Polynomials

MCQ▾

Question

If α,β are the zeroes of the polynomial f(x)=x2p(x+1)c , then (α+1)(β+1) is equal to ________

Choices

Choice (4) Response

a.

1 + c

b.

c - 1

c.

1 - c

d.

c

Question number: 133

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x22x12 , then the value of α2β2+β2α2 is ________

Choices

Choice (4) Response

a.

931

b.

319

c.

319

d.

193

Question number: 134

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Arun and Prabhat have some books with them. Once Prabhat said to Arun that if Arun gives 3 books to Prabhat then Arun will have only 12 of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is ________

Choices

Choice (4) Response

a.

Can’t be determined

b.

25

c.

56

d.

30

Question number: 135

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Which of the following system of equations has unique solution?

Choices

Choice (4) Response

a.

3x+y=2,6x+2y=3

b.

2x5y=3,6x15y=9

c.

x2y=3,3x2y=1

d.

2x+3y=4,4x+6y=8

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