IMO- Mathematics Olympiad Class 10: Questions 203 - 208 of 908

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Question number: 203

» Polynomials

MCQ▾

Question

Quadratic polynomial having sum of its zeroes 10 and product of its zeroes 3 is ________

Choices

Choice (4) Response

a.

x210x3

b.

x2+10x+3

c.

x2+10x3

d.

x210x+3

Question number: 204

» Polynomials

MCQ▾

Question

The roots of the quadratic equation 3x2kx+14=0 are in the ratio 7:6 , then k equals ________

Choices

Choice (4) Response

a.

1

b.

12

c.

-3

d.

13

Question number: 205

» Polynomials

MCQ▾

Question

If αandβ are two numbers such that α+β=10,αβ=14 . Then αandβ are the roots of the quadratic equation ________

Choices

Choice (4) Response

a.

x2+10x+12=0

b.

x210x12=0

c.

x2+10x12=0

d.

x2+10x12=0

Question number: 206

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x210x+2k such that αβ=2 , then the value of k is ________

Choices

Choice (4) Response

a.

25

b.

-25

c.

24

d.

-24

Question number: 207

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The solution of the system of equations 10x+5yxy=30 and 30x5yxy+10=0(wherex0,y0) , is ________

Choices

Choice (4) Response

a.

x=0.3,y=3

b.

x=0.4,y=4

c.

x=0.7,y=7

d.

x=0.2,y=2

Question number: 208

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The sum of two numbers is 18 and the sum of their squares is 38. The numbers are ________

Choices

Choice (4) Response

a.

16 and 20

b.

11 and 13

c.

13 and 18

d.

21 and 25

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