IMO- Mathematics Olympiad Class 10: Questions 113 - 118 of 908

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Question number: 113

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x25x+k such that αβ=1 , then the value of k is ________

Choices

Choice (4) Response

a.

6

b.

-5

c.

5

d.

-6

Question number: 114

» Polynomials

MCQ▾

Question

If α,β be the zeroes of the quadratic polynomial 2x2+5x+1 , then the value of α+β+αβ =________

Choices

Choice (4) Response

a.

4

b.

1

c.

-2

d.

-1

Question number: 115

» Polynomials

MCQ▾

Question

If a and b are the roots of the equation x2px+q=0 , then the equation if the roots are (ab+a+b)and(abab) ?

Choices

Choice (4) Response

a.

pqx22(p+q)x+q2=0

b.

x22px+(p2q2)=0

c.

x22qx+(q2p2)=0

d.

x22px+(q2p2)=0

Question number: 116

» Polynomials

MCQ▾

Question

If a and b are the roots of the quadratic equation x2+px+12=0 with the condition ab=1 , then the value of ‘p’ is ________

Choices

Choice (4) Response

a.

7 or -7

b.

7

c.

1

d.

-7

Question number: 117

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 5x+2y=0andkx+20y=0 has a non-zero solution, is ________

Choices

Choice (4) Response

a.

50

b.

60

c.

20

d.

80

Question number: 118

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Value of x in pair of linear equations 170x396y=169and396x+170y=735 is ________

Choices

Choice (4) Response

a.

3.2

b.

2.5

c.

1.3

d.

2.4

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