IMO- Mathematics Olympiad Class 10: Questions 221 - 226 of 908

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Question number: 221

» Polynomials

MCQ▾

Question

x2(k+9)x10=(x2)(x4) , then k is equal to ________

Choices

Choice (4) Response

a.

-15

b.

-17

c.

-18

d.

-12

Question number: 222

» Polynomials

MCQ▾

Question

If one zero of the polynomial f(x)=(k2+4)x2+13x+4k is reciprocal of the other, then k is equal to ________

Choices

Choice (4) Response

a.

1

b.

-1

c.

-2

d.

2

Question number: 223

» Polynomials

MCQ▾

Question

When 3x2x33x+5 is divided by x1x2 , the quotient and remainder is ________

Choices

Choice (4) Response

a.

x2,3

b.

x+2,3

c.

x2,3

d.

x+2,3

Question number: 224

» Polynomials

MCQ▾

Question

If αandβ are the roots of the equations 4x28x+6=0 , then the value of 1α+1β is ________

Choices

Choice (4) Response

a.

34

b.

165

c.

516

d.

43

Question number: 225

» Polynomials

MCQ▾

Question

If αandβ are the roots of the equation px2+qx+r=0 , then the quadratic equation whose roots are 1α and 1β is ________

Choices

Choice (4) Response

a.

px2qx+r=0

b.

rx2qx+p=0

c.

qx2px+r=0

d.

rx2+pxq=0

Question number: 226

» Polynomials

MCQ▾

Question

Quadratic polynomial having sum of its zeroes 5 and product of its zeroes -14 is ________

Choices

Choice (4) Response

a.

x210x+14

b.

x210x14

c.

x25x+14

d.

x25x14

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