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Question 14 and 15, Exercise 4.2
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=====Question 14===== Find '$b$' if $10$ is A.M between $b$ and $20$. ** Solution. ** Let $a= b$ and $... can be as follows: * Find '$b$' if $25$ is A.M between $b$ and $20$. * Find '$b$' if $10$ is A.M between $b$ and $-10$. </callout> =====Question 15===== Find ... and $y$ if $2$ and $13$ are two arithmetic means between $x$ and $y$. ** Solution. ** Given: $2$ and $13
Question 13, Exercise 4.2
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, Pakistan. =====Question 13(i)===== Find A.M. between $7$ and $17$ ** Solution. ** Here $a=7$ and $b=... = $12$. GOOD =====Question 13(ii)===== Find A.M. between $3+3 \sqrt{2}$ and $7-3 \sqrt{2}$ ** Solution. *... = $5$. GOOD =====Question 13(iii)===== Find A.M. between $7 \sqrt{5}$ and $\sqrt{5}$ ** Solution. ** Here... rt{5}$. GOOD =====Question 13(iv)===== Find A.M. between $2y+5$ and $5y+3$ ** Solution. ** Here $a=2y+5$
Question 16 and 17, Exercise 4.2
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===Question 16===== Find the two arithmetic means between $5$ and $17$. ** Solution. ** Let $A_1$ and $A_2$ be two arithmetic means between $5$ and $17$.\\ Then $5$, $A_1$, $A_2$, $17$ are ... ===Question 16===== Find the two arithmetic means between $5$ and $17$. ** Solution. ** Let $A_1$, $A_2$ and $A_3$ be thre arithmetic means between $2$ and $-18$.\\ Then $2$, $A_1$, $A_2$, $A_3$, $
Question 9 and 10, Exercise 4.3
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===== Find the sum of all multiples of 4 that are between $14$ and $523$. ** Solution. ** Sum of all multiples of 4 that are between $14$ and $523$. $$16+20+24+...+520.$$ This is ar
Question 11, Exercise 4.6
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abad, Pakistan. =====Question 11===== Find H.M. between $\dfrac{2}{3}$ and $\dfrac{4}{7}$. ** Solution. ... {13} \\ \end{align*} Hence $\dfrac{8}{13}$ is H.M between $\dfrac{2}{3}$ and $\dfrac{4}{7}$. GOOD ===
Question 12, Exercise 4.6
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Pakistan. =====Question 12===== Find four H.Ms. between $\dfrac{1}{3}$ and $\dfrac{1}{11}$. ** Solution. ** Let $H_1, H_2, H_3, H_4$ be four $H.Ms$ between $\dfrac{1}{3}$ and $\dfrac{1}{11}$.\\ Then $$\dfr
Question 9 & 10, Exercise 4.6
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{0} $ is in A.P. =====Question 10===== Find H.M. between 9 and 11 . Also find $A, H, G$ and show that $A H