IMO- Mathematics Olympiad (SOF) Class 10: Questions 206 - 212 of 958

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Question number: 206

» Polynomials

MCQ▾

Question

If are the zeroes of the quadratic polynomial such that , then the value of k is ________

Choices

Choice (4) Response

a.

25

b.

-25

c.

24

d.

-24

Question number: 207

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The solution of the system of equations and, is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 208

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The sum of two numbers is 18 and the sum of their squares is 38. The numbers are ________

Choices

Choice (4) Response

a.

16 and 20

b.

11 and 13

c.

13 and 18

d.

21 and 25

Question number: 209

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The number of values of k for which the system of equations has atleast one solution is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 210

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k for which the system of equations, 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 are the roots of the cubic, the value of is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 212

» Pair of Linear Equations in Two Variables

MCQ▾

Question

The value of k, for which the system of equations represent parallel lines is ________

Choices

Choice (4) Response

a.

35

b.

25

c.

15

d.

45

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