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Question 7 and 8, Exercise 4.8
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder... n*} 1 = (3k+1)A+(3k-2)B \ldots (2) \end{align*} Put $3k-2=0$ $\implies k=\dfrac{2}{3}$ in (2), we ha... 0 \\ \implies &A = \frac{1}{3}. \end{align*} Now put $3k+1=0$ $\implies k=-\dfrac{1}{3}$ in (2), we h... n*} 1 = (5k+1)A+(5k-4)B \ldots (2) \end{align*} Put $5k-4=0$ $\implies k=\dfrac{4}{5}$ in (2), we ha
Question 11 and 12, Exercise 4.8
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder... {align*} 1 = A(k+2) + Bk \ldots (2) \end{align*} Put $k=0$ in (2), we have \begin{align*} &1=2A + 0 \\ \implies & A = \frac{1}{2}. \end{align*} Put $k+2=0 \implies k=-2$ in (2), we have \begin{ali... n*} 1 = (3k+1)A+(3k-2)B \ldots (2) \end{align*} Put $3k-2=0$ $\implies k=\dfrac{2}{3}$ in (2), we ha
Question 5 and 6, Exercise 4.2
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder... &\\ \implies \boxed{d = -3} \quad \\ \end{align*} Putting the value $d$ in (1) \begin{align*} & a_1 +1... &\\ \implies \boxed{d = 4} \quad \\ \end{align*} Putting the value $d$ in (1) \begin{align*} & a_1 +
Question 9 and 10, Exercise 4.8
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder... 1 = (k+2)A + (k+1)B \ldots (2) \end{align*} Now, put $k+1=0 \implies k=-1$ in equation (2): \begin{al... -1+2)A + 0 \\ \implies A &= 1. \end{align*} Next, put $k+2=0 \implies k=-2$ in equation (2): \begin{al
Question 13, 14 and 15, Exercise 4.8
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder... = (2k+9)A + (2k+3)B \ldots (2) \end{align*} Now, put $2k+3 = 0 \implies k = -\frac{3}{2}$ in equation... \\ \implies A &= \frac{1}{6}. \end{align*} Next, put $2k+9 = 0 \implies k = -\frac{9}{2}$ in equation
Question 3 and 4, Exercise 4.2
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder... s \boxed{d = -\frac{5}{2}} \quad \\ \end{align*} Putting the value $d$ in (1) \begin{align*} & a_1 +
Question 9 and 10, Exercise 4.2
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder... \frac{a+c}{ac}\\ b&= \frac{a+c}{2ac} \end{align*} Putting the value of $b$ in (i), we have\\ \begin{al
Question 1 and 2, Exercise 4.1
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder
Question 3 and 4, Exercise 4.1
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder
Question 5 and 6, Exercise 4.1
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder
Question 7 and 8, Exercise 4.1
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder
Question 9 and 10, Exercise 4.1
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder
Question 11 and 12, Exercise 4.1
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder
Question 13 and 14, Exercise 4.1
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder
Question 15 and 16, Exercise 4.1
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nit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Feder
Question 17 and 18, Exercise 4.1
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Question 19 and 20, Exercise 4.1
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Question 21 and 22, Exercise 4.1
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Question 1, Exercise 4.2
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Question 2, Exercise 4.2
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Question 7 and 8, Exercise 4.2
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Question 11 and 12, Exercise 4.2
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Question 13, Exercise 4.2
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Question 14 and 15, Exercise 4.2
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Question 16 and 17, Exercise 4.2
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Question 1 and 2, Exercise 4.3
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Question 3 and 4, Exercise 4.3
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Question 5 and 6, Exercise 4.3
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Question 7 and 8, Exercise 4.3
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Question 9 and 10, Exercise 4.3
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Question 11 and 12, Exercise 4.3
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Question 13 and 14, Exercise 4.3
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Question 15 and 16, Exercise 4.3
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Question 17, 18 and 19, Exercise 4.3
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Question 20, 21 and 22, Exercise 4.3
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Question 23 and 24, Exercise 4.3
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Question 25 and 26, Exercise 4.3
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Question 1 and 2, Exercise 4.4
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Question 3 and 4, Exercise 4.4
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Question 5, 6 and 7, Exercise 4.4
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Question 8 and 9, Exercise 4.4
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Question 10 and 11, Exercise 4.4
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Question 12 and 13, Exercise 4.4
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Question 14 and 15, Exercise 4.4
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Question 16 and 17, Exercise 4.4
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Question 18 and 19, Exercise 4.4
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Question 20 and 21, Exercise 4.4
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Question 22 and 23, Exercise 4.4
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Question 24 and 25, Exercise 4.4
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Question 26 and 27, Exercise 4.4
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Question 28 and 29, Exercise 4.4
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Question 30, Exercise 4.4
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Question 1 and 2, Exercise 4.5
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Question 3 and 4, Exercise 4.5
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Question 5 and 6, Exercise 4.5
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Question 7 and 8, Exercise 4.5
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Question 9 and 10, Exercise 4.5
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Question 11, 12 and 13, Exercise 4.5
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Question 14, Exercise 4.5
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Question 15, Exercise 4.5
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Question 16, Exercise 4.5
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Question 1 and 2, Exercise 4.6
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Question 3 & 4, Exercise 4.6
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Question 5 & 6, Exercise 4.6
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Question 7 & 8, Exercise 4.6
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Question 9 & 10, Exercise 4.6
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Question 11, Exercise 4.6
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Question 12, Exercise 4.6
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Question 1 and 2, Exercise 4.7
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Question 3 and 4, Exercise 4.7
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Question 5 and 6, Exercise 4.7
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Question 7 and 8, Exercise 4.7
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Question 9 and 10, Exercise 4.7
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Question 11, 12 and 13, Exercise 4.7
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Question 14, 15 and 16, Exercise 4.7
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Question 17 and 18, Exercise 4.7
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Question 19 and 20, Exercise 4.7
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Question 19 and 20, Exercise 4.7
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Question 21 and 22, Exercise 4.7
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Question 23 and 24, Exercise 4.7
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Question 25 and 26, Exercise 4.7
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Question 27 and 28, Exercise 4.7
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Question 29 and 30, Exercise 4.7
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Question 1 and 2, Exercise 4.8
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Question 3 and 4, Exercise 4.8
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Question 5 and 6, Exercise 4.8
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