IMO- Mathematics Olympiad Class 10: Questions 302 - 307 of 908

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Question number: 302

» 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: 303

» 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: 304

» 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: 305

» 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

Question number: 306

» Quadratic Equations

MCQ▾

Question

Sum of two numbers x and y is 8 and the absolute value of their difference is 10 the equation with these numbers as roots is ________

Choices

Choice (4) Response

a.

x28x+9=0

b.

x28x+9=0

c.

x28x9=0

d.

x2+8x9=0

Question number: 307

» Quadratic Equations

MCQ▾

Question

If the roots of equation a1x2+a2x+a3=0 are in the ratio r1:r2 , then

Choices

Choice (4) Response

a.

r1.r2.a12=(r1+r2)a32

b.

r1.r2.a22=(r1+r2)2a1.a3

c.

r1.r2.a2=(r1+a2)2a1.a2

d.

r1.r2.a12=(r1+r2)2a3.a2

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