Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 60 - 65 of 80

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Question number: 60

» Quadratic Equations

MCQ▾

Question

If the equation 16x2+4kx+9=0 has equal roots, and then the both roots are equal to ________

Choices

Choice (4) Response

a.

±25

b.

±34

c.

±43

d.

±52

Question number: 61

» Quadratic Equations

MCQ▾

Question

In the equation x(x2)(m+2)(x2)(m1)=xm , the roots are equal when ________

Choices

Choice (4) Response

a.

m=1

b.

m=±1

c.

m=2

d.

m=±2

Question number: 62

» Quadratic Equations

MCQ▾

Question

The roots of the equation 3x+3x12=6 can be found by solving ________

Choices

Choice (4) Response

a.

x22x1=0

b.

x22x1=0

c.

x22x+1=0

d.

x22x+1=0

Question number: 63

» Quadratic Equations

MCQ▾

Question

The roots of the equation 2x+2x12=5 can be found by solving ________

Choices

Choice (4) Response

a.

4x217x+4=0

b.

4x225x+4=0

c.

3x215x4=0

d.

4x225x4=0

Question number: 64

» Quadratic Equations

MCQ▾

Question

The expression 3x411x2+6x+k is divisible by x3 . Then k is a divisor of ________

Choices

Choice (4) Response

a.

106

b.

-120

c.

-162

d.

135

Question number: 65

» Quadratic Equations

MCQ▾

Question

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of x2 correctly as 6 and 1 respectively. The correct roots are

Choices

Choice (4) Response

a.

6,1

b.

6,1

c.

-3, 2

d.

3,2

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