HSC Science (Electronics) 12th Standard Board Exam - Maharashtra State Board Important Questions

Find the odd word out:

Quantitative Tools of credit control:

Distinguish between:

Demand deposit and Time deposit

Explain the functions of RBI.

Explain the functions of RBI.

Identify and explain the concept from the given illustration:

India purchased petroleum from Iran.

Prepare a summary of the extract given in Q. 2 (A). Give it a suitable title. You may use the following points :

Luxurious houses in nature – fear of wild animals – leopards enjoy human habitation – provide food

Do as directed:
Rewrite the following sentence by inserting the appropriate articles wherever necessary :
I read interesting story from Mahabharata.

Prepare a summary of the extract given in Q. 2 (A). Give it a suitable title. You may use the following points :

Luxurious houses in nature – fear of wild animals – leopards enjoy human habitation – provide food

Read the extract and complete the activities given below :

    Luxurious houses on the edge of a big city which one promoter sold with the tagline ‘‘Where Nature peeps through every window.’’ All the advantages of a modern lifestyle but with the added bonus of fresh air. But nature isn’t greenery alone; it also includes wild animals.
   While the view from the picture windows was easy on the eye, occasionally, it made them gulp with nervousness. At dusk, wild cats leaped out of the adjoining forest on to the top of the peripheral walls and strolled nonchalantly. Sometimes, they lounged on ledges with their long tails swinging freely, oblivious of the many worried human eyes pinned on them. Their cold yellow aggressive eyes turned black as their pupils dilated with failing light.
   Some Mumbaikars paid a lot of money to see leopards on safari in Africa. But to watch them from one’s own home was disconcerting. These predators were out of line, stepping off nature into the city. Why did the leopards not stay within the 100-square kilometre Sanjay Gandhi National Park? Perhaps, the leopards thought that if people could venture into nature to jog, walk and picnic, why couldn’t they hang around apartment blocks? If people could enjoy nature, couldn’t nature savour humanity’s offerings?
   Capturing leopards is extraordinarily simple. These curious cats seem incapable of resisting a free meal, walking into baited traps without hesitation. The reason the felines are attracted to their residential community is prey : stray dogs that live on rubbish heaps. Taking care of the food source is the best course of action, the volunteers said.

A1. Rewrite the following sentences as per their occurrence in the extract :

1. Instead of capturing leopards we can take care of their food.
2. Leopards leave their habitat and enter the human habitat.
3. Modern lifestyle and nature both attract the dwellers.
4. Leopards can enjoy human surroundings by leaving nature.

A2. Complete the following sentences :

1. Nature is a combination of ______ and ______
2. The best of both the worlds include ______ and ______
3. The wild animals are out of line as ______
4. The wild cats are attracted towards residential areas because ______

A3. Find out the words for leopards used in the extract :

1. ____________
2. ____________
3. ____________
4. ____________

A4. ‘‘If people could venture into nature to jog, walk, and picnic, why couldn’t the wild animals hang around apartment blocks?’’ Express your opinion.

A5. Rewrite the following sentences in the ways instructed :

1. Taking care of the food source is the best course of action.
   (Use infinitive form of the underlined word and rewrite.)

2. Nature isn’t greenery alone; it also includes wild animals.
   (Rewrite it by using ‘not only ... but also’.)

A6. Find a word for each of the following expressions from the extract :

1. Enjoy the taste of something
2. Embarrassing and confusing to watch
3. Not conscious or aware of something or someone
4. Relaxed and in an unworried manner

Find the symbolic form of the given switching circuit. Construct its switching table and interpret your result.

Write the following compound statement symbolically.

Nagpur is in Maharashtra and Chennai is in Tamil Nadu. 

Find k, if the sum of the slopes of the lines represented by x² + kxy – 3y² = 0 is twice their product.

If the lines `(x-1)/2=(y+1)/3=(z-1)/4 ` and `(x-3)/1=(y-k)/2=z/1` intersect each other then find value of k

Find the co-ordinates of the foot of the perpendicular drawn from the point (0, 2, 3) to the line `(x + 3)/(5) = (y - 1)/(2) = (z + 4)/(3)`.

A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at Rs 7 profit and  B at a profit of Rs 4. Find the production level per day for maximum profit graphically.

If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of  `dy/dx `at t = `pi/4`

If y = f(x) is a differentiable function of x such that inverse function x = f^–1 (y) exists, then prove that x is a differentiable function of y and `dx/dy=1/((dy/dx)) " where " dy/dx≠0`

If y = cos(m cos^–1x), then show that `(1 - x^2) ("d"^2y)/("d"x^2) - x("d"y)/("d"x) + "m"^2y` = 0

The displacement of a particle at time t is given by s = 2t³ – 5t² + 4t – 3. Find the velocity when 𝑡 = 2 sec

Find `intsqrtx/sqrt(a^3-x^3)dx`