The answer is option A and B

= -5 ( x² - 2x) - 1

= -5 (x² - 2x + 1 - 1) - 1

= -5 (x - 1)² + 5 - 1

= 4 - 5 (x - 1)² 

Since ( x - 1 )² >= 0

-5 (x - 1)² <= 0

4 - 5 (x - 1)² <= 4

4

a+b=3  i. e. b=3-a

a ³+b³=7 (Given) 

(a+b) ³-3ab(a+b)=7

Or, 27-9ab=7

Or, ab=20/9

Now, a(3-a)=20/9

Or, 9a²-27a+20=0

Solving by Sreedhar Achrya's formula, 

We get, 

a=5/3 or 4/3

and b=4/3 or 5/3

Ans. Let Length of Train = x meter

Time taken to cover post = 10 sec

if a train pass post. it mean it is covering distance equal to its length 

So speed = {tex}{distance \over time } = {x\over 10} \ .... (1){/tex}

Again if it pass a bridge it cover distance equal to sum of length of bridge and length of train. 
Length of Bridge = 2 Km = 2000 m

So distance covered =  ( 2000 + x ) m 
Time taken = 110 sec 
So Speed = {tex}{2000+x\over 110 } \ ........... (2){/tex}

From (1) and (2), we get

 {tex}=> {x\over 10}={2000+x\over 110}{/tex}

=> 110 x = 20000 + 10 x

=> 100x = 20000

=> x = {tex}{20000\over 100} = 200 \ m/s{/tex}

As from the equation of motions for free fall we have

v²-u²=-2gh     ( at peak point v = 0)

therefore,   -u² = -2hg

                  h = u²/2g

As from the above equation h is inversely proportional to g and g on mountains is less from the surface

hence tennis ball bounces more on the mountains than on the plains.

As Vrms=√3RT/√m

V1/V2=√m2/√m1

=√m2/√4m2

=1/2

First find efficiency of engine = 1- lower temperature/higher temperature = 1/2 then amount of heat energy is two times of work done = 2400 joule 

Rumination is the process by which the cow regurgitates previously consumed feed and masticates it a second time. The ruminant stomach has four compartments: rumen, reticulum, omasum, and abomasum.

Therefore the formula of the compound is A₂B₃.

{tex}S+O_2 \to SO_2 \xrightarrow{Cl/H_2O} H_2SO_4 \xrightarrow{BaCl_2} BaSO_4{/tex}

From the above reaction

1mole of S produces 1 mole of BaSO₄ Number of moles in 8g of S = 8/32 = 0.25 Thus number of moles of BaSO₄ = 0.25

B. 79.2% 

{tex}C + 2S \to CS_2{/tex}

Ideally, 1 mole of C will react with 2 moles of S to form CS₂ 

1 mol of C = 12g 1 mol of S = 32g

12g carbon reacts with = 64g of Sulphur 1g carbon reacts with = {tex}64\over 12{/tex}g of Sulphur

4g carbon reacts with = {tex}{64\over 12}\times 4 = {64\over 3}{/tex}g of Sulphur

But we have only 8g of sulphur

It mean sulphur is limiting agent.

due to sulphur is limiting reagent reaction will proceed according to sulphur .

64g sulphur formed = 76g CS₂

1g S formed=  {tex}76\over 64{/tex} g CS₂

8g S formed = {tex}{76\over 64 }\times 8 = 9.5{/tex}g CS₂

Hence, % purity {tex}= {Wt. \ of \ product \over Wt. \ of \ reactants } \times 100{/tex} = {tex} {9.5 \over (4+8)}\times 100 ={ 9.5\over 12}\times 100 {/tex}

= 79.16 % = 79.2 %

The min.no.of bases per DNA codon would be Two (2)

Molality  of NaOH is 1.25,percent by weight of NaOH  is 40g

• The only primary alcohol that can be prepared by the indirect hydration of alkene is ethyl alcohol

• DNA-ase and RNA-ase are enzymes produced by Pancreas.
• In case of taking food rich in lime juice, the action of ptylin on starch is reduced
• Fatty acids and glycerol are first absorbed by lacteal

• Epinasty is caused by ethylene that is released by the leaves when the roots are flooded.
• gibberellin
• The Pr form of phytochrome receives red light (600-680 nm) and changes into Pfr.

This reaction occurs fastest in

N,N'-dimethylformamide (DMF).

Solution: 

• To Produce electrophile 
• VESPR Notation of ClF₃ is AX₃E₂. AX₃E₂ has To shaped shape.

The lobes of d_xy orbital are oriented in between the axes at an angle 45, So the  probability of finding electron in a d_xy orbital is maximum at an angle of 45 degree from x and y axis.

The Green Revolution was a period when the productivity of global agriculture increased drastically as a result of new advances. During this time period, new chemical fertilizers and synthetic herbicides and pesticides were created. The chemical fertilizers made it possible to supply crops with extra nutrients and, therefore, increase yield.

The term "blue revolution" refers to the remarkable emergence of aquaculture as an important and highly productive agricultural activity. Aquaculture refers to all forms of active culturing of aquatic animals and plants, occurring in marine,or fresh waters.

Carbon monoxide (CO) is only a very weak directgreenhouse gas, but has important indirect effects on global warming. Carbon monoxide reacts with hydroxyl (OH) radicals in the atmosphere, reducing their abundance. So, carbon monoxide is not a green house gas.
 

Ans.

• Epimers are monosaccharides that differ in chirality at only one carbon.
• Anomers are special epimers; in cyclic forms of one single monosaccharide.