Basic Mathematics-Algebra (KVPY Stream-SA (Class 11) Math): Questions 14 - 17 of 17

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Question number: 14

» Basic Mathematics » Algebra » Simplifying Expressions

MCQ▾

Question

If the system of equations: 4x+y=1,(3k+1)x+(2k1)y=(6k+1) has no solution, then the value of k is –

Choices

Choice (4) Response

a.

2

b.

3

c.

1

d.

4

Question number: 15

» Basic Mathematics » Algebra » Solutions to Equations

MCQ▾

Question

Let α, β, γ, θ be real numbers such that α2+β2=144 , γ2+θ2=125 and αγ+βθ=169 . Then the set of all possible values of αθβγ is –

Choices

Choice (4) Response

a.

102.76

b.

0

c.

86

d.

112.10

Question number: 16

» Basic Mathematics » Algebra » Solutions to Equations

MCQ▾

Question

Roots of equation: 113+x=16+17+1x are –

Choices

Choice (4) Response

a.

-7, -6

b.

-5, 3

c.

-7, -4

d.

7, 6

Question number: 17

» Basic Mathematics » Algebra » Simplifying Expressions

MCQ▾

Question

Let a,b be non-zero real numbers. Which of the following statements about the quadratic equation ax2(a+b)x+b=0 is necessarily true?

(i) It has at least one negative 1

(ii) It has at least one positive 1

(iii) Both roots are negative

(iv) Both roots are positive (Model paper)

Choices

Choice (4) Response

a.

(i) and (iv) only

b.

(i) only

c.

(i) and (ii) only

d.

(ii) and (iii) only

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