Lakshesh Verma Lakshesh Verma

Lecture 4 : Revision

  • Complex Numbers and Quadratic Equations Assignments 1

    If, then find the least positive integral value of m.

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  • Complex Numbers and Quadratic Equations Assignments 2

    If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that

    (a2 + b2) (c2 + d2) (e2 + f 2) (g2 + h2) = A2 + B2.

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  • Complex Numbers and Quadratic Equations Assignments 3

    Find the number of non-zero integral solutions of the equation.

     

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  • Complex Numbers and Quadratic Equations Assignments 4

    If α and β are different complex numbers with = 1, then find.

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  • Complex Numbers and Quadratic Equations Assignments 5

    If (x + iy)3 = u + iv, then show that.

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  • Complex Numbers and Quadratic Equations Assignments 6

    Find the modulus of .

     

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  • Complex Numbers and Quadratic Equations Assignments 7

    Find the real numbers x and y if (x - iy) (3 + 5i) is the conjugate of -6 - 24i.

     

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  • Complex Numbers and Quadratic Equations Assignments 8

    Find the modulus and argument of the complex number.

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  • Complex Numbers and Quadratic Equations Assignments 9

    Let . Find

    (i) , (ii) 

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  • Complex Numbers and Quadratic Equations Assignments 10

    If a + ib =, prove that a2 + b2 = 

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  • Complex Numbers and Quadratic Equations Assignments 11

    If  find.

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  • Complex Numbers and Quadratic Equations Assignments 12

    Solve the equation 21x2 - 28x + 10 = 0

     

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  • Complex Numbers and Quadratic Equations Assignments 13

    Solve the equation 27x2 - 10x + 1 = 0

     

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  • Complex Numbers and Quadratic Equations Assignments 14

    Solve the equation

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  • Complex Numbers and Quadratic Equations Assignments 15

    Solve the equation

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  • Complex Numbers and Quadratic Equations Assignments 16

    Convert the following in the polar form:

    (i) , (ii) 

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  • Complex Numbers and Quadratic Equations Assignments 17

    If x - iy =prove that.

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  • Complex Numbers and Quadratic Equations Assignments 18

    Reduce to the standard form.

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  • Complex Numbers and Quadratic Equations Assignments 19

    For any two complex numbers z1 and z2, prove that

    Re (z1z2) = Re z1 Re z2 - Im z1 Im z2

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  • Complex Numbers and Quadratic Equations Assignments 20

    Evaluate: 

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    • Description:-

    Lecture 4:
    In the last class, we had completed our Chapter – 5 Complex Numbers and Quadratic Equations. Now today, you are going to revise the whole chapter through summary of the chapter, key points and practice paper, HOTS. 
    Please go through all the topics which we had studied till now, their notes. Properly do the assignments, watch videos of the concerned topics.
    If you have any doubt about any topic/point please submit it in the discussion section... it will be answered as soon as possible.
    Now ...you can attempt quiz given of this chapter to check your concept clearance about the chapter.

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