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Class 9 Math Real and Complex Numbers


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Class 9Class 10First YearSecond Year
Example1Writeeachradicalexpressioninexponentialnotationandeachexponentialexpressioninradicalnotation.Donotsimplify.(ii)x53Example 1Write each radical expression in exponential notation and each exponential expression in radical notation. Do not simplify.(ii) \sqrt[3]{x^{5}}

1. Identify the following statements as true or false.(vi) If (a-1)-(b+3) i=5+8 i then a=6 and b=-11
1. Identify the following statements as true or false.(vi) If  (a-1)-(b+3) i=5+8 i  then  a=6  and  b=-11

1.Identifythefollowingstatementsastrueorfalse.(vi)If(a1)(b+3)i=5+8ithena=6andb=111. Identify the following statements as true or false.(vi) If (a-1)-(b+3) i=5+8 i then a=6 and b=-11

4. Verify that (\overline{\bar{z}})=z for the following complex numbers.(v) -2-3\left(-\frac{10}{9}\right) i
4. Verify that  (\overline{\bar{z}})=z  for the following complex numbers.(v)  -2-3\left(-\frac{10}{9}\right) i

4.Verifythat(zˉ)=zforthefollowingcomplexnumbers.(v)23(109)i4. Verify that (\overline{\bar{z}})=z for the following complex numbers.(v) -2-3\left(-\frac{10}{9}\right) i

1. Fill in the blanks.(viii) The conjugate of -3+5 i is
1. Fill in the blanks.(viii) The conjugate of  -3+5 i  is

1.Fillintheblanks.(viii)Theconjugateof3+5iis1. Fill in the blanks.(viii) The conjugate of -3+5 i is

1. Perform the indicated operations of the following complex numbers.(i) (32)+(93)
1. Perform the indicated operations of the following complex numbers.(i)  (32)+(93)

1.Performtheindicatedoperationsofthefollowingcomplexnumbers.(i)(32)+(93)1. Perform the indicated operations of the following complex numbers.(i) (32)+(93)

2. Simplify using law of exponent:(xi) \frac{3}{5} r^{3} s^{2} r^{7} r^{2} s^{2}
2. Simplify using law of exponent:(xi)  \frac{3}{5} r^{3} s^{2} r^{7} r^{2} s^{2}

2.Simplifyusinglawofexponent:(xi)35r3s2r7r2s22. Simplify using law of exponent:(xi) \frac{3}{5} r^{3} s^{2} r^{7} r^{2} s^{2}

2. Simplify using law of exponent:(iv) \left(-3 \times 5^{2}\right)^{3}
2. Simplify using law of exponent:(iv)  \left(-3 \times 5^{2}\right)^{3}

2.Simplifyusinglawofexponent:(iv)(3×52)32. Simplify using law of exponent:(iv) \left(-3 \times 5^{2}\right)^{3}

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