IMO- Mathematics Olympiad Class 10: Questions 165 - 170 of 908

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 908 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

Question number: 165

» Polynomials

MCQ▾

Question

ax3+bx2+cx+d=0 is said to be cubic polynomial if ________

Choices

Choice (4) Response

a.

c0

b.

a0

c.

b0

d.

d0

Question number: 166

» Polynomials

MCQ▾

Question

If a and b are the roots of x2px+q=0 , then a2+b2 is ________

Choices

Choice (4) Response

a.

p2+2q

b.

p2q2

c.

p2+q2

d.

p22q

Question number: 167

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The sum of a two digit number and the number obtained by interchanging the digits of the number is 110. If the digits of the number differ by 8, then numbers are ________

Choices

Choice (4) Response

a.

71, 17

b.

91, 19

c.

81, 18

d.

61, 16

Question number: 168

» Polynomials

MCQ▾

Question

If one zero of the cubic polynomial p(x)=3x35x211x3 is 13 , then other two zeroes are ________

Choices

Choice (4) Response

a.

3, -1

b.

3, -1 & -1, 3

c.

-1, 3

d.

1, 3

Question number: 169

» Polynomials

MCQ▾

Question

When 24x5+46x4+114x3+158x2+128x+120 is divided by 8x3+10x2+18x+24 , the quotient and remainder is ________

Choices

Choice (4) Response

a.

3x22x+5,3

b.

3x22x5,0

c.

3x2+2x+5,0

d.

3x2+2x5,3

Question number: 170

» Polynomials

MCQ▾

Question

A cubic polynomial with the sum of its zeroes, sum of the product of its zeroes taken two at a time, and the product of its zeroes as -5, 9, 17 respectively, is ________

Choices

Choice (4) Response

a.

x35x2+9x17

b.

x3+5x29x17

c.

x3+5x2+9x17

d.

x3+5x2+9x+17

f Page
Sign In