02. If \( a, b \), c ane anequal no in HP, the find \[ \Rightarrow \frac{a+b}{2 a-b}+\frac{c+b}{2 c-b} b= \]

02. If \( a, b \), c ane anequal no in HP, the find \[ \Rightarrow \frac{a+b}{2 a-b}+\frac{c+b}{2 c-b} b= \]

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Given a, b, c are in HP.

So b = 2ac/(a+b) …(i)

(a+b)/(2a-b) + (c+b)/(2c-b) = (substitute the value of b)

= a+(2ac/(a+b))/(2a – 2ac/(a+c)) + (c + 2ac/(a+c))/(2c – 2ac/(a+c))

By solving above equation, we get 1+ (3/2)(c/a + a/c)

= 1+ (3/2)(a² + c² -2ac + 2ac)/ac

= 1+ (3/2)((a-c)²/ac) + 3

= 4 + (3/2)((a-c)²/ac)

≥ 4

4 views Answered 2023-02-05 15:29

Related Questions

`2Ce^(4+) + Co rightarrow 2Ce^(3+) + Co^(2+), E_(cell)^(@) = 1.89V` `E_(Co^(2+)//Co)^(@) = -0.277V`. Hence `E_(Ce^(4+)//Ce^(3+))^(@)` is

2 Answers 4 Views

In a cell that utilizes the reactions. `Zn(s) + 2H^(+) (aq) rightarrow Zn^(2+)(aq) + H_(2)(g)` addition of `H_(2)SO_(4)` to cathode compartment, will

2 Answers 4 Views

12. Which of the following reactions is not correct? (a) \( 2 F _{2}+2 H _{2} O \rightarrow 4 H ^{+}+4 F ^{-}+ O _{2} \) (b) \( 2 I _{2}+2 H _{2} O \rightarrow 4 H ^{+}+4 I ^{-}+ O _{2} \) (c) \( Cl _{2}+ H _{2} O \rightarrow HCl + HOCl \) (d) \( Br _{2}+ H _{2} O \rightarrow HBr + HOBr \)

2 Answers 5 Views

12. Which of the following reactions is not correct? (a) \( 2 F _{2}+2 H _{2} O \rightarrow 4 H ^{+}+4 F ^{-}+ O _{2} \) (b) \( 2 I _{2}+2 H _{2} O \rightarrow 4 H ^{+}+4 I ^{-}+ O _{2} \) (c) \( Cl _{2}+ H _{2} O \rightarrow HCl + HOCl \) (d) \( Br _{2}+ H _{2} O \rightarrow HBr + HOBr \)

2 Answers 4 Views

2. For a Quadratic Equation \( a x^{2}+b x+c=0, a \neq 0 \), sum of the roots \( (\alpha+\beta) \) (a) \( \frac{c}{a} \) (b) \( \frac{-b}{a} \) (c) \( \frac{a}{b} \) (d) \( \frac{b}{a} \)

2 Answers 4 Views

`Al^(3+)(aq) + 3e^(-) rightarrow Al(s)` `E^(@) = -1.66V` `Cu^(2+)(aq) + 2e^(-) rightarrow Cu(s)` `E^(@) = +0.34V` What voltage is produced under stand

2 Answers 7 Views

`(10Cl^(-)(aq) + 2MnO_(4)^(-)(aq) + 16H^(+)(aq) rightarrow 5Cl_(2)(g) + 2Mn^(2+) + 8H_2O)(l)` The value of `E^(@)` for this reaction at `25^(@)C` is 0

2 Answers 8 Views

`C_(7)H_(6)O_(3) + C_(4)H_(6)O_(3) rightarrow C_(9)H_(8)O_(4)O_(2)` What is the percent yield if 0.85g of aspirin is formed in the reaction of 1.00g o

2 Answers 6 Views

`Cu^(+) + e^(-) rightarrow Cu`, `E^(@) = x_1volt`, `Cu^(2+) + 2e^(-) rightarrow Cu`, `E^(@) = x_(2)` volt, then for `Cu^(2+) + e^(-) rightarrow Cu^(+)

2 Answers 4 Views

Given : `Hg_(2)^(2+) rightarrow 2Hg`, `E^(@) = 0.789 V` and `Hg^(2+) + 2e^(-) rightarrow Hg`, `E^(@) = 0.854V` Calculate the equilibrium consant for `

2 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)