Mathematics Exercise Solutions: Roots, Radicals, Exponentials, and Trigonometry, Exercises of Mathematics

Solutions to various mathematics exercises covering topics such as cube roots, properties of roots, theorems of proportion, and trigonometry. Students are encouraged to attempt these exercises repeatedly for better understanding.

Typology: Exercises

2020/2021

Uploaded on 05/18/2022

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m-tanveer-khan ๐Ÿ‡ต๐Ÿ‡ฐ

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Courtesy: Malik Awais Awan
Note: Students are strongly emphasized to attempt these sums again and again.
โ– Exe1.1 (Q.2,3)
โ– Exe1.3 (Q.1-8)
โ– Exe1.4 (Q.1-6)
โ– Example.1,2 page 19
โ– Exe2.1 (Q.1,3,4,5,9,10)
โ– Properties of cube roots
โ– Exe2.2 (Q.1,2,3,5)
โ– Relation between roots and
coefficients of Q.E
โ– Exe2.3 (Q.1,3)
โ– Exe2.4 full exercise
โ– Exe2.5 (Q.1)
โ– Exe2.8 (Q.1-5)
โ– Exe3.1 (Q.3,4,5,7,8,9)
โ– Exe3.3 full exercise
โ– Theorems of proportion
โ– Exe3.4 (Q.1)
โ– Exe3.6 full exercise
โ– Exe4.1 (Q.1,2,4,7,8)
โ– Exe 4.2 (Q.2 3,4,8)
โ– Exe 4.3 (Q.1,2,3,7,8)
โ– Exe 4.4 (Q.1,4,6)
โ– Exe5.1 (Q.1)
โ– Proof of first two properties
page88
โ– Exe5.2 (Q.3,4)
โ– Exe5.3 (Q.1,4)
โ– Exe5.4 full exercise
โ– Exe5.5 (Q.1-5)
โ– Example.2 page120
โ– Example.1 page129
โ– Exe6.2 (Q.3,9,12)
โ– Exe6.3 (Q.4,5,6)
โ– Relation between radian & degree
โ– Exe7.1 (Q.3,5)
โ– Exe7.2 (Q.1-4,5,6)
โ– Exe7.3 (Q.6,8,9,10,12)
โ– Exe7.4 full exercise
โ– Exe 7.5 (Q.1-4)
โ– Exe13.1 (Q.1)
โ– Theorems (1,3,4) of ch.9 and first three theorems of ch.12
โœ“ Must Have Definitions:
root, reciprocal, exponential, radical, disc, symmetric equation, synthetic division,
ratio, proportion, antecedent, consequent, proper fraction, improper fraction, partial
fraction, function, types of function, mean, median, mode, g.m, properties of a.m,
range, angle, incircle, polygon, circumference, sector, circle, chord, secant, radial
segment, collinear pts, tangent, central angle, cyclic,.
โœ“ All review exercise are important for MCQ and short questions.

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Courtesy: Malik Awais Awan Note: Students are strongly emphasized to attempt these sums again and again. โ– Exe1.1 (Q.2,3) โ– Exe1.3 (Q.1-8) โ– Exe1.4 (Q.1-6) โ– Example.1,2 page 19 โ– Exe2.1 (Q.1,3,4,5,9,10) โ– Properties of cube roots โ– Exe2.2 (Q.1,2,3,5) โ– Relation between roots and coefficients of Q.E โ– Exe2.3 (Q.1,3) โ– Exe2.4 full exercise โ– Exe2.5 (Q.1) โ– Exe2.8 (Q.1-5) โ– Exe3.1 (Q.3,4,5,7,8,9) โ– Exe3.3 full exercise โ– Theorems of proportion โ– Exe3.4 (Q.1) โ– Exe3.6 full exercise โ– Exe4.1 (Q.1,2,4,7,8) โ– Exe 4.2 (Q.2 3,4,8) โ– Exe 4.3 (Q.1,2,3,7,8) โ– Exe 4.4 (Q.1,4,6) โ– Exe5.1 (Q.1) โ– Proof of first two properties page โ– Exe5.2 (Q.3,4) โ– Exe5.3 (Q.1,4) โ– Exe5.4 full exercise โ– Exe5.5 (Q.1-5) โ– Example.2 page โ– Example.1 page โ– Exe6.2 (Q.3,9,12) โ– Exe6.3 (Q.4,5,6) โ– Relation between radian & degree โ– Exe7.1 (Q.3,5) โ– Exe7.2 (Q.1-4,5,6) โ– Exe7.3 (Q.6,8,9,10,12) โ– Exe7.4 full exercise โ– Exe 7.5 (Q.1-4) โ– Exe13.1 (Q.1) โ– Theorems (1,3,4) of ch.9 and first three theorems of ch. โœ“ Must Have Definitions: root, reciprocal, exponential, radical, disc, symmetric equation, synthetic division, ratio, proportion, antecedent, consequent, proper fraction, improper fraction, partial fraction, function, types of function, mean, median, mode, g.m, properties of a.m, range, angle, incircle, polygon, circumference, sector, circle, chord, secant, radial segment, collinear pts, tangent, central angle, cyclic,. โœ“ All review exercise are important for MCQ and short questions.