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Posted by Nirmitee Kushwaha 2 years, 10 months ago
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Preeti Dabral 2 years, 10 months ago
{tex}\frac { x } { a } + \frac { y } { b } = 2{/tex}
{tex}\frac { b x + a y } { a b } = 2{/tex}
{tex}bx + ay = 2ab{/tex}........(i)
{tex}ax - by = (a^2 - b^2){/tex}...(ii)
Multiplying (i) by b and (ii) by a
{tex}b^2x + bay = 2ab^2{/tex}.............(iii)
{tex}a^2x - bay = a(a^2 - b^2){/tex}........(iv)
Adding (iii) and (iv),we get
{tex}b^2x + a^2x = 2ab^2 + a^3 - ab^2{/tex}
{tex}x(b^2 + a^2) = 2ab^2 + a^3 - ab^2{/tex}
{tex}x(b^2 + a^2) = ab^2 + a^3{/tex}
{tex}x(b^2 + a^2) =a(b^2 + a^2){/tex}
{tex}x = \frac { a \left( b ^ { 2 } + a ^ { 2 } \right) } { \left( b ^ { 2 } + a ^ { 2 } \right) } = a{/tex}
Putting x = a in (i),we get
{tex}b \times a + a y = 2 a b{/tex}
{tex}a y = 2 a b - a b \Rightarrow a y = a b{/tex} or y = b
{tex}\therefore{/tex} solution is x = a, y = b
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Preeti Dabral 2 years, 10 months ago
429 moti nagar ,
New delhi 110052
29 /07/2022
The Editor ,
The Hindustan Times
New Delhi
Sir,
I beg for the kindness of the columns in your renowned newspaper so that I might alert the local "water supply department?, to the issue of water supply in our neighbourhood. The water supply in our community has been erratic for the last week. Only three of the seven days received the supply, and even then, only for an hour each day. Water was only available yesterday for 35 minutes. The Assistant Engineer in question responded when contacted that there was an energy issue causing the water supply to become erratic.
I wasn't happy with the response. The worried Assistant Engineer doesn't seem to be taking the issue seriously. Water is the most important essential during the hot months. I I sincerely hope that you would be so kind as to publish my letter in your daily, allowing the higher authorities to swiftly address this pressing issue and take appropriate action against those guilty.
Yours truly
Ashwani
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Khwaish Bansal 2 years, 11 months ago
0Thank You