10TH CLASS CHAPTER 2
Q.1 Choose the correct
option.
. درست جواب کا انتخاب کریں
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Questions
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A
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B
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C
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D
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٭ Roots
of the equation 4x2-5x+2=0 are
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irrational
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imaginary
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rational
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None of these
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٭ If α, β are the root of 7x2-x+4=0
then αβ
is
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-1/7
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4/7
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7/4
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-4/7
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٭ Cube roots of -1
are
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-1,- ω,- ω²
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-1, ω,- ω²
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-1,- ω, ω²
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-1,ω,ω²
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٭ Two square root of unity are
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1,-1
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1,- ω,
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1,ω²
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1,- ω²
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٭ ω-16 equals
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-1
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ω
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- ω
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ω2
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٭ ω-2 equals
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-1
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ω
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- ω
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ω2
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Q.2 Solve the following questions.
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i.
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Find the product of complex cube roots of unity.
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ii.
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Show that x-2 is the factor of x3+x2-7x+2
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iii.
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If ω
is cube root of unity , form an equation whose roots are 3ω and 3ω²
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iv.
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Without solving, find the sum and product of the root
of px2-qx+r
= 0
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v.
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Discuss the nature of the
roots of the equation
16x2-24x+9=0
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vi.
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If α, β are the root of 4x2-5x+6=0
then find the value of α²β²
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vii.
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Evaluate (2+2ω-2ω²) (3-3ω+3ω²)
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viii.
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write the quadratic equation
having roots 0,-3
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ix.
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Find the cube root of 8.
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x.
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Without solving, find the sum and product of the root
of 2x2-3x+5
= 0
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xi.
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The product of two positive consecutive numbers is 182.
Find the numbers.
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xii.
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Evaluate (1-ω+ω²)6
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Q.3 Solve by using
synthetic division ,if 1 and 3 are the roots of the equation x4-10x2+6=0
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Q.4 Find p, if the roots of the equation
x2+3x+p-2=0 differ by 2.
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