1. ਸਰਦੀਆ ਦੀ ਸਵੇਰ ਸਮੇਂ ਪੱਥਰ ਦੀ ਫਰਸ਼, ਲੱਕੜ
ਦੀ ਫਰਸ਼ ਨਾਲੋਂ ਜਿਆਦਾ ਠੰਡੀ ਪ੍ਰਤੀਤ ਹੁੰਦੀ ਹੈ,
ਕਿਉਂ ?
(ਉ) ਪੱਥਰ, ਲੱਕੜ ਨਾਲੋਂ ਤਾਪ ਦਾ ਚੰਗਾ ਚਾਲਕ ਹੈ।
(ਅ) ਪੱਥਰ ਦੇ ਫਰਸ਼ ਦੀ ਪਾਲਿਸ਼ ਕੀਤੀ ਹੋਈ ਹੈ।
ਜਦਕਿ ਲੱਕੜ ਦੀ ਪਾਲਿਸ਼ ਨਹੀਂ ਹੋਈ।
(ਸ) ਪੱਥਰ ਤਾਪ ਦਾ ਜ਼ਿਆਦਾ ਪਰਾਵਰਤਨ ਕਰ ਸਕਦਾ
ਹੈ।
(ਸ) ਪੱਥਰ, ਲੱਕੜ ਨਾਲੋਂ ਤਾਪ ਦਾ ਕਮਜ਼ੋਰ ਚਾਲਕ ਹੈ
4 ਰੀ ਰਾਤ ਵਿੱਚ ਇਕ ਭਿਖਾਰੀ ਨੇ
Answers
Answer:
De ce ai plecat şi m-ai lăsat,
Iubirea mea... îndurerat.
Refren:
Plouă, afară e frig,
Şi totul s-a sfârşit
De când m-ai părăsit.
Iar plouă...afară e frig
Şi totul s-a sfârşit
De când m-ai părăsit.
Mi-aduc aminte când spuneai
Că doar pe mine tu mă ai.
Tu mă ai... iubirea mea.
Acum totul ai spulberat,
De lângă mine ai plecat,
De ce ai plecat... şi m-ai lăsat?
Tu nu ai vrut să mă intelegi,
Şi ţi-a fost mai uşor să pleci.
De ce ai plecat... iubirea mea?
Totul e pustiu în jurul meu,
Iar eu văd numai chipul tău,
De ce ai plecat, iubirea mea?
Explanation:
Question : Prove that√5 is irrational.
Answer :
Let us assume that √5 is a rational number.
Sp it t can be expressed in the form p/q where p,q are co-prime integers and q≠0
⇒√5=p/q
On squaring both the sides we get,
⇒5=p²/q²
⇒5q²=p² —————–(i)
p²/5= q²
So 5 divides p
p is a multiple of 5
⇒p=5m
⇒p²=25m² ————-(ii)
From equations (i) and (ii), we get,
5q²=25m²
⇒q²=5m²
⇒q² is a multiple of 5
⇒q is a multiple of 5
Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number
√5 is an irrational number
Hence proved