वन प्राण हैं - वन हमारी शान हैं || वन मुख्य रूप से लकड़ी के स्रोत के लिए जाने जाते हैं। लेकिन वास्तविक रूप से वन इससे बड़ा काम करते हैं। वन जलवायु को नियंत्रित करने मे बड़ी भूमिका निभाते हैं । ये प्रदूषण को भी नियंत्रित करते हैं। सबसे बड़ी बात यह है की वन जीव जंतुओं का घर है । आक्सीजन की भरपाई तो मुख्य रूप से वन ही करते हैं । आक्सीजन के बिना हम नहीं रह सकते हैं तो वन के बिना हम कैसे जीवन का अस्तित्व बना कर रख पाएँगे किंतु मनुष्य वनों की कटाई मे कमी नही कर रहे हैं। वन हमे अद्भुत छाया देते हैं । हमे थकान के उपरांत शरण देते हैं । वायुमंडल मे पानी को उपलब्ध करते हैं जिससे बारिश होती है । वन सभी तरह के जीवों को समाहित करते हैं । इस तरह ये खद्य शृंखला को बनाए रखने मे महत्वपूर्ण भूमिका निभा रहे हैं । वन की कटाई तुरंत रोकनी चाहिए । हमारे देश मे और विश्व मे भी वन कटाई को रोकने के बहुत सारे विधि हैं । लेकिन ये विधि पूरी तरह से सफल नही हैं । सभी को वनों के महत्व को समझना पड़ेगा और अधिक से अधिक वन लगाने होंगे ग्लोबल वॉरमिंग का मुख्य कारण वनो का विनाश ही है ।

Q(01) Why was Father Gilligan 'weary'? Why was he unable to rest? Ans: Father Gilligan was tired because he has to work night and day. Most of the people in the village were either sick or have died. At their sick bed, they were calling father Gilligan for prayer and peaceful journey of the soul. Hence, father has to attend them. Q(02) When did Father Gilligan realise when he awoke from sleep? What did he do then? Ans: Father Gilligan realised that, he has slept throughout the evening and woke up early in the next morning. As soon as he woke up he stood upright on the floor and roused his horse put of its sleep. He then rode away to that sick man's house.     Q(03) What did he learn from the sick man's wife? Ans:  When Father Gilligan reached the sick man house he learnt that the man had died an hour gap. Q(04) What made Father Gilligan kneel down? Ans:  When father Gilligan was taking rest, a sick man at his dead bed

Velocity-Time graph gives two most important parameter. 1) Its slope gives the acceleration. 2. The area under the curve gives the distance traveled by an object. Here we will derive velocity(v = u + at) equation as shown the figure. And we will also derive graphically distance (s = ut + 1/2 a t 2 ) equation. Analytically we can derive velocity equation as follow. s = distance v = final velocity u = initial velocity t = time Acceleration = rate of change of velocity. a = (v-u) /t at = v - u v = u + at Which is the equation of velocity. Analytical derivation of distance equation. distance = velocity x time s = v.t If the acceleration is uniform , then velocity will change its value uniformlly. i.e. v= 1/2 (v + u) s = v.t s = 1/2 (v + u). t But v = u+ at Putting the value of v in above equation we get s = 1/2 {(u + at) + u}. t s = 1/2 (2u + at). t s = 1/2 .2u. t + 1/2. at 2 s = u t + 1/2 at 2 Which is the equation of distance in terms of u and t

Reference to The Context (1)Thus they talked about half forgotten incidents, forgetting about matters of greater importance ,and often it would get very late. Q(a):    Who does 'they' refer to? What would they talk about ? Ans. :    They referred to Ratan and the Postmaster. They would talk about Ratan's family.Postmaster used to ask Ratan if she remembered her matter and their conversation would start. Back To Top Q ( b  ):    What happened when it got very late? Ans. :    If they got very late the postmaster would feel too lazy to cook and Ratan would quickly light a fire and toast some unleavened bread.This along with the cold leftover of the morning meal was enough for this supper. Back To Top Q ( c ):    What does 'forgetting about matters of greater importance' mean here? When postmaster and Ratan would strike up a conversation they would forget that the dinner needed to be cooked. Back To Top (3)  It got late, but

Prateek travels from Agra to Delhi to buy goods which he gets 10 percent cheaper in Delhi than in Agra . if his journey  expenses are Rs. 160.00 and he earns Rs. 240.00 by selling goods at Agra; calculate : i) the price of the goods at Delhi and ii) his profit percent Solution: Let the price of goods at Agra is Rs '×' . ∴ its price at Delhi will be 90 x / 100 His travelling  cost = Rs 160.00 ∴ his total cost price, CP = (9x/10 + 160) Profit = Rs. 240 As per condition, We can write: x- (9x/10 + 160) = 240 or x- 9x/10 - 160 = 240 or x- 9x/10 = 240 + 160 Or x/10 = 400 ∴ x = 4000 i) ∴ Price at Delhi = 9x/10              = (9 . 4000)10              = Rs. 3600 ii) His %age profit = (Profit / CP )x 100           = (240 / 4000)x 100            =20 /3 %            =6 2/3%

Q(01) Briefly describe the author's journey from Urumqi to Heaven Lake . What       does Heaven Lake look like ? Ans: Author went to Heaven Lake from Urumqi by a public bus . Soon, they were      in open country side , with fields of sunflower as far as the eye could see.      Where there was no water , the land reverted to desert .In the distance , the      tall range of Mount Bogda was his destination .As the bus climbed, the sky brilli      ant before had grown overcast and rain began to fall . The bus window leaked inhospitably      but revealed a beautiful view. The ground is then green with grass, the slope      dark with pine . A few cattle were drinking at a clear stream. The stream changes      into a white torrent as they climb higher.                     Heaven lake is a long , fish -shaped and fed by snow melt      from a stream at its head. Q(02) How did Mr Cap react when the author expressed his desire to go for a swim in the       in the  lake ? Ans: When a

                       Q(01)What was the occasion on which the author gamed reputation as a humouist?       How did it happen? Ans: The occasion on which the author get reputation as a humorist was  the fiftieth birthday of the senior partner , of the store where narrator     worked. The employees in the store bought a silver inhstand for the senior      partner crowded into his private office to present it.Narrator as a          spokesman made a little speech with full of funny twists and funs.It make    hit Author's reputation of a humorist dates from that  morning. Q(02)What was the 'gift' that he cultivated?What was the nature of this gift? Ans: Author believed possessed considerable wit .This was the gift he     cultivated. The nature of it was kindly and genial , not running to sarcasm or        offending others. Q(03)What according to the author , was the cost of becoming a humorist ? Ans: Author becamd a famous humorist , saved thousand dollars and li

In the following figure, OP, OQ and OR are drawn perpendiculars to the sides BC, CA and AB respectively of triangle ABC. Prove that AR 2 +BP 2 +CQ 2 = AQ 2 + CP 2 +BR 2 solution : Construction : joinA-0, BO and CO . For &#x2206 OAR, we can write: AR 2 = OA 2 - OR 2 ------ Eqn. (I) For &#x2206 OBR, we can write: BP 2 = OB 2 - OR 2 ------ Eqn. (II) For &#x2206 OCQ, we can write: CQ 2 = OC 2 - OQ 2 ------ Eqn. (III) Adding Eqn. (I), (II) & (III) , We get: AR 2 +BP 2 +CQ 2 = OA 2 +OB 2 +OC 2 -OR 2 -OP 2 -OQ 2         = ( OA 2 - OQ 2 ) + ( OB 2 -OR 2 ) + ( OC 2 -OP 2 )         = AQ 2 + CP 2 +BR 2     Proved

Question: Diagonals of rhombus ABCD intersect each other at point O. Prove that OA 2 + OC 2 = 2AD 2 + BD 2 /2 Solution: In &#x2206 AOD OA 2 = AD 2 - OD 2 -------------Eqn (i) In &#x2206 OBC OC 2 = BC 2 - OB 2 -------------Eqn (ii) Adding Eqn (i) & Eqn (ii) We get, OA 2 + OC 2 = AD 2 - OD 2 + BC 2 - OB 2         = AD 2 - OD 2 + AD 2 - OB 2         = 2AD 2 - OD 2 OB 2         = 2AD 2 - (BD/2) 2 -(BD/2) 2         = 2AD 2 - BD 2 /4 -BD 2 /4         = 2AD 2 - BD 2 /2 Proved

Question: In the figure AB = BC and AD is perpendicular to CD. Prove that AC2 = 2.BC. DC solution : In &#x2206 ADC AC 2 = AD 2 + DC 2 AC 2 = AB 2 - BD 2 + DC 2 ( AS ABD is a right angled triangle ) or AC 2 = AB 2 + DC 2 - BD 2 AC 2 = AB 2 + DC 2 - ( DC-BC ) 2 or AC 2 = AB 2 + DC 2 - (DC 2 + BC 2 -2 DC. BC) or AC 2 = AB 2 + DC 2 - DC 2 - BC 2 + 2 DC. BC or AC 2 = AB 2 - AB 2 + 2 DC. BC ( As AB = BC ) .'. AC 2 = 2 DC. BC Proved