IMO- Mathematics Olympiad Class 10: Questions 153 - 159 of 889

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Question number: 153

» Polynomials

MCQ▾

Question

The difference of roots of the quadratic equation 4y24y+1=0 is ________

Choices

Choice (4) Response

a.

1

b.

12

c.

0

d.

2

Question number: 154

» Pair of Linear Equations in Two Variables

MCQ▾

Question

Which of the following system of equations has no solution?

Choices

Choice (4) Response

a.

3xy=2,9x3y=6

b.

4x7y+28=0,5y7x+9=0

c.

3x5y11=0,6x10y7=0

d.

All of the above

Question number: 155

» Polynomials

MCQ▾

Question

Quadratic polynomial having sum of its zeroes -10 and product of its zeroes 25 is ________

Choices

Choice (4) Response

a.

x2+10x25

b.

x210x25

c.

x210x+25

d.

x2+10x+25

Question number: 156

» Polynomials

MCQ▾

Question

If the sum of the squares of zeroes of the polynomial 5x2+3x+k is 1125 , find the value of k

Choices

Choice (4) Response

a.

2

b.

3

c.

4

d.

-2

Question number: 157

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The number of values of k for which the system of equations 2x+3y=2,x+4y=6,5x+ky=2 has atleast one solution is ________

Choices

Choice (4) Response

a.

9

b.

-9

c.

-6

d.

6

Question number: 158

» Polynomials

MCQ▾

Question

Every quadratic polynomial can have at the most ________

Choices

Choice (4) Response

a.

Three zeroes

b.

Four zeroes

c.

One zero

d.

Two zeroes

Question number: 159

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations kxy=2,6x2y=3 has a unique solution, is ________

Choices

Choice (4) Response

a.

= 3

b.

= 0

c.

0

d.

3

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