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First Year Math Number Systems


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Class 9Class 10First YearSecond Year
5.Simplifybyexpressingintheforma+biiv)36125. Simplify by expressing in the form a+b i iv) \frac{3}{\sqrt{6}-\sqrt{-12}}

Q.64 Conjugate of -2+3 i is :(a) -2-3 i (b) 2-3 i (c) 2+3 i (d) -2+3 i Faisalabad Board 2012
Q.64 Conjugate of  -2+3 i  is :(a)  -2-3 i (b)  2-3 i (c)  2+3 i (d)  -2+3 i Faisalabad Board 2012

Q.64Conjugateof2+3iis:(a)23i(b)23i(c)2+3i(d)2+3iFaisalabadBoard2012Q.64 Conjugate of -2+3 i is :(a) -2-3 i (b) 2-3 i (c) 2+3 i (d) -2+3 i Faisalabad Board 2012

Q.71 Modulus of 8-15 i is :(a) 8(b) -15 (c) 17(d) 8+15 i
Q.71 Modulus of  8-15 i  is :(a) 8(b)  -15 (c) 17(d)  8+15 i

Q.71Modulusof815iis:(a)8(b)15(c)17(d)8+15iQ.71 Modulus of 8-15 i is :(a) 8(b) -15 (c) 17(d) 8+15 i

Theorems: \forall z z_{1} z_{2} \in C iv) \overline{z_{1}+z_{2}}=\bar{z}_{1}+\bar{z}_{2}
Theorems:  \forall z z_{1} z_{2} \in C iv)  \overline{z_{1}+z_{2}}=\bar{z}_{1}+\bar{z}_{2}

Theorems:zz1z2Civ)z1+z2=zˉ1+zˉ2Theorems: \forall z z_{1} z_{2} \in C iv) \overline{z_{1}+z_{2}}=\bar{z}_{1}+\bar{z}_{2}

Simplify the following:10. (03)(05)
Simplify the following:10.  (03)(05)

Simplifythefollowing:10.(03)(05)Simplify the following:10. (03)(05)

Q.7 Every non-repeating non-terminating decimal is(a) rational number(b) irrational number(c) integer(d) none of these
Q.7 Every non-repeating non-terminating decimal is(a) rational number(b) irrational number(c) integer(d) none of these

Q.7Everynonrepeatingnonterminatingdecimalis(a)rationalnumber(b)irrationalnumber(c)integer(d)noneoftheseQ.7 Every non-repeating non-terminating decimal is(a) rational number(b) irrational number(c) integer(d) none of these

3. Name the properties used in the following inequalities:vi) a>b \Rightarrow-a<-b
3. Name the properties used in the following inequalities:vi)   a>b \Rightarrow-a<-b

3.Namethepropertiesusedinthefollowinginequalities:vi)a>ba<b3. Name the properties used in the following inequalities:vi) a>b \Rightarrow-a<-b

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