Basic MathematicsAlgebra (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 14  17 of 17
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Question number: 14
» Basic Mathematics » Algebra » Simplifying Expressions
Question
If the system of equations: 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
Question
Let α, β, γ, θ be real numbers such that, and . Then the set of all possible values of is –
Choices
Choice (4)  Response  

a. 


b.  0 

c.  86 

d. 


Question number: 16
» Basic Mathematics » Algebra » Solutions to Equations
Question
Roots of equation: 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
Question
Let be nonzero real numbers. Which of the following statements about the quadratic equation 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 
