IMO- Mathematics Olympiad Class 10: Questions 209 - 214 of 908

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Question number: 209

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The number of values of k for which the system of equations 3x+y=2,7xky=14,3x6y=6 has atleast one solution is ________

Choices

Choice (4) Response

a.

356

b.

563

c.

356

d.

563

Question number: 210

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 5x+y=12 , 15x+ky=36 has infinite number of solutions, is ________

Choices

Choice (4) Response

a.

10

b.

9

c.

4

d.

3

Question number: 211

» Polynomials

MCQ▾

Question

If α,β,γ are the roots of the cubic 5x310x2+20x30 , the value of αβγ+βγα+γαβ is ________

Choices

Choice (4) Response

a.

34

b.

43

c.

34

d.

43

Question number: 212

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k, for which the system of equations kx+30y60=0,10x+2y+25=0 represent parallel lines is ________

Choices

Choice (4) Response

a.

35

b.

25

c.

15

d.

45

Question number: 213

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations 3x+5y=20 , 6x+ky=10 has infinite number of solutions, is ________

Choices

Choice (4) Response

a.

50

b.

60

c.

10

d.

20

Question number: 214

» Polynomials

MCQ▾

Question

Quadratic polynomial having sum of its zeroes (k1) and product of its zeroes 7 is ________

Choices

Choice (4) Response

a.

x2+(k1)x7

b.

x2(k1)x7

c.

x2(k1)x+7

d.

x2+(k1)x+7

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