Test Class 10th MathematicsChapter No. 2

Multiple choice Questions /111) Product of all cube roots of unity is

A) -1 B) 0 C) ω D) ω3

2) 1.ω.ω2.ω3….. ω100 =?A) -ω2 B) ω C) 0 D) -ω

3) Roots of the equation x2 + 2x + 3 = 0 will be?A) Real B) Irrational C) Rational D) Complex

4) (x+y)(x+ωy)(x+ω2y)=A) x+y B) x3+y3 C) x2+y2 D) x-y

5) Product of all square root of unity is?A) -1 B) 0 C) ω D) ω3

6) If b2

a>4 c then the roots of the equation ax2 - bx+c=0 will be?

A) Real B) Irrational C) Rational D) Complex7) Roots of the quadratic equation will be equal if

A) Disc. = 0 B) Disc. < 0 C) Disc. > 0 D) None8) The sum of five times a number and the square of the number is 204. The

Number is?A) 12 B) -17 C) Both D) None

9) 1 + ω . ω2

A) 1 B) -1 C) 2 D) 010)(ω3)n =

A) 1 B) -1 C) 2 D) 011)Product of all cube root of unity is?

A) 1 B) -1 C) 2 D) 0

MCQ’S RESPONSE SHEET

Solve the following questions

/24i) Find two integers whose sum is 9 and the

difference of their square is also 9.

ii) For what value of k , the expression is k 2 x2+2 ( k+1 ) x+4 is a perfect square

iii) Prove that (1+ω ) (1+ω2 ) (1+ω4 ) ………2n factors = 1

iv) Evaluate ω37 + ω38 – 5v) If α ,β are the roots of the equation l x2+mx+n=0then find the values of

α 3 β2+α 2 β3

vi) By synthetic division solve the equation when 3 is root of the equation.

vii) If ω is cube root of unity form an equation whose roots are 3ω and 3ω2

viii) Evaluate (1- ω + ω2)

ix) If α,β are the roots of the equation form an equation whose roots

are

x) Evaluate

xi) Find p if the sum of the squares of the roots of the equation

xii) Find m if the roots of the equation satisfy the relation

Long Questions /10

1) Solve the following equations

2) Find k if the roots of the equation are equal, if