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- Question 1, Exercise 1.1
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Fulltext results:
- Unit 04: Sequence and Series (Solutions)
- olutions)"> * [[math-11-kpk:sol:unit04:ex4-1-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit04:ex4-1-p2|Question 3 &4 ]] * [[math-11-kpk:sol:unit04:ex4-1-p3|Question 5]] * [[math-11-kpk:sol:unit04:ex4-1-p4|Question 6 ]] </panel> <panel type="default" title="Exercise 4.
- Unit 07: Mathmatical Induction and Binomial Theorem (Solutions)
- olutions)"> * [[math-11-kpk:sol:unit07:ex7-1-p1|Question 1]] * [[math-11-kpk:sol:unit07:ex7-1-p2|Question 2 ]] * [[math-11-kpk:sol:unit07:ex7-1-p3|Question 3]] * [[math-11-kpk:sol:unit07:ex7-1-p4|Question 4]] * [[math-11-kpk:sol:unit07:ex7-1-p5|Question 5]]
- Unit 06: Permutation, Combination and Probability (Solutions)
- olutions)"> * [[math-11-kpk:sol:unit06:ex6-1-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit06:ex6-1-p2|Question 3 & 4 ]] * [[math-11-kpk:sol:unit06:ex6-1-p3|Question 5]] </panel> <panel type="default" title="Exercise... olutions)"> * [[math-11-kpk:sol:unit06:ex6-2-p1|Question 1 & 2]] * [[math-11-kpk:sol:unit06:ex6-2-p2|Que
- Unit 03: Vectors (Solutions)
- olutions)"> * [[math-11-kpk:sol:unit03:ex3-2-p1|Question 1]] * [[math-11-kpk:sol:unit03:ex3-2-p2|Question 2]] * [[math-11-kpk:sol:unit03:ex3-2-p3|Question 3 & 4]] * [[math-11-kpk:sol:unit03:ex3-2-p4|Question 5 & 6]] * [[math-11-kpk:sol:unit03:ex3-2-p5|Questi
- Unit 02: Matrices and Determinants (Solutions)
- olutions)"> * [[math-11-kpk:sol:unit02:ex2-1-p1|Question 1]] * [[math-11-kpk:sol:unit02:ex2-1-p2|Question 2]] * [[math-11-kpk:sol:unit02:ex2-1-p3|Question 3]] * [[math-11-kpk:sol:unit02:ex2-1-p4|Question 4]] * [[math-11-kpk:sol:unit02:ex2-1-p5|Question 5 & 6
- Unit 10: Trigonometric Identities of Sum and Difference of Angles (Solutions)
- lutions)"> * [[math-11-kpk:sol:unit10:ex10-1-p1|Question 1]] * [[math-11-kpk:sol:unit10:ex10-1-p2|Question 2]] * [[math-11-kpk:sol:unit10:ex10-1-p3|Question 3]] * [[math-11-kpk:sol:unit10:ex10-1-p4|Question 4]] * [[math-11-kpk:sol:unit10:ex10-1-p5|Question 5
- Unit 01: Complex Numbers (Solutions)
- olutions)"> * [[math-11-kpk:sol:unit01:ex1-1-p1|Question 1]] * [[math-11-kpk:sol:unit01:ex1-1-p2|Question 2-3]] * [[math-11-kpk:sol:unit01:ex1-1-p3|Question 4]] * [[math-11-kpk:sol:unit01:ex1-1-p4|Question 5]] * [[math-11-kpk:sol:unit01:ex1-1-p5|Question 6]]
- Unit 05: Miscellaneous Series (Solutions)
- olutions)"> * [[math-11-kpk:sol:unit05:ex5-1-p1|Question 1]] * [[math-11-kpk:sol:unit05:ex5-1-p2|Question 2 & 3 ]] * [[math-11-kpk:sol:unit05:ex5-1-p3|Question 4 & 5]] * [[math-11-kpk:sol:unit05:ex5-1-p4|Question 6 ]] * [[math-11-kpk:sol:unit05:ex5-1-p5|Question
- Question 7, Exercise 10.2 @math-11-kpk:sol:unit10
- ====== Question 7, Exercise 10.2 ====== Solutions of Question 7 of Exercise 10.2 of Unit 10: Trigonometric Identities of Su... ok Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Prove the identity ${{\cos }^{4}}\theta... =\dfrac{1}{\sec 2\theta }=R.H.S.\end{align} =====Question 7(ii)===== Prove the identity $\tan \dfrac{\theta
- Question 3 Exercise 6.4 @math-11-kpk:sol:unit06
- ====== Question 3 Exercise 6.4 ====== Solutions of Question 3 of Exercise 6.4 of Unit 06: Permutation, Combination and Prob... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 3(a)===== A true or false test contains eight questions. If a student guesses the answer for each question, find the probability that $8$ answers are correc
- Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
- ====== Question 7 Exercise 6.4 ====== Solutions of Question 7 of Exercise 6.4 of Unit 06: Permutation, Combination and Prob... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Two dice are thrown simultaneously. Fin... c{n(A)}{n(S)}=\dfrac{3}{36}=\dfrac{1}{12}$$ =====Question 7(ii)===== Two dice are thrown simultaneously. Fi
- Question 1 and 2 Exercise 4.1 @math-11-kpk:sol:unit04
- ====== Question 1 and 2 Exercise 4.1 ====== Solutions of Question 1 and 2 of Exercise 4.1 of Unit 04: Sequence and Series. ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== Classify into finite and infinite seque... s finite sequence whose last term is $50 $. =====Question 1(ii)===== Classify into finite and infinite sequ
- Question 1 and 2 Exercise 6.1 @math-11-kpk:sol:unit06
- ====== Question 1 and 2 Exercise 6.1 ====== Solutions of Question 1 and 2 of Exercise 6.1 of Unit 06: Permutation, Combinat... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 1(i)===== Evaluate the $\dfrac{10 !}{3 ! .3 ! \cd... 10.9 .8 .7 .5}{3.2 .1}\\ &=4200 \end{align} =====Question 1(ii)===== Evaluate the $\dfrac{3 !+4 !}{5 !-4 !}
- Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
- ====== Question 7, Exercise 1.2 ====== Solutions of Question 7 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 7(i)===== Separate into real and imaginary parts ... {4}{29}$\\ Imaginary part $=\dfrac{19}{29}$ =====Question 7(ii)===== Separate into real and imaginary parts
- Question 2, Exercise 2.2 @math-11-kpk:sol:unit02
- ====== Question 2, Exercise 2.2 ====== Solutions of Question 2 of Exercise 2.2 of Unit 02: Matrices and Determinants. This ... k Board (KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== Without evaluating state the reasons fo... Because elements of third column are zero. =====Question 2(ii)===== Without evaluating state the reasons