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The prosperity of a country depends directly upon the development of agriculture and industry. Agricultural production, however requires power, credit transport facilities etc. Industrial production requires not only machinery and equipment but also skilled man-power, management, energy .banking facilities, marketing facilities, transport services, communication facilities etc. All these facilities and services constitute collectively the infrastructure of the economy and the development and expansion of these facilities are an essential pre-condition for increasing agricultural and industrial production in a country.

Correct option is (d) All of the above

Correct option is (b) Public Distribution System

Correct option is (c) RBI

Correct option is (a) 1982

Correct option is (d) All of the above

By consumer education we mean the education to be imparted to the consumers which may enable them to safeguard their interest and help them to become rational consumers.

1. 1935

2. Consumer

3. 1986

4. RBI

Equation of ZOX plane is y = 0 

Direction ratio of normal to this plane is (0,1,0) 

since the required plane is parallel to y = 0 

Direction ratio of its normal is also (0,1,0). Intercepts on y-axis is 3, 

∴ The point (0, 3, 0) lies on the plane. 

∴ equation of plane 

(x – 0) + 1 (y – 3) + 0 (z – 0) = 0 

∴ y = 3.

Given equation of plane is 2x + y - z = 5. 

On dividing both sides by 5, we get

2x/5 + y/5 - z/5 = 1

on comparing above equation of plane with the intercept form of equation of plane.

x/a + y/b + z/c = 1

where, a = x-intercept, b = y-intercept and c = z-intercept.

we get, a = 5/2

i.e., intercept cut off on X-axis = 5/2.

The equation of the plane ZOX is y = 0 

Any plane parallel to it is of the form, y = a 

Since the y-intercept of the plane is 3, a = 3

 Thus, the equation of the required plane is y = 3

(i) The equation of the plane is

\(\frac{x}{2}+\frac{y}{3}+\frac{z}{4} = 1\)

(ii) The equation of the plane is 2x – 3y + 4z = 4

Hence the distance = \(\frac{2(-1)-3(-2)+4(3)-4}{\sqrt{4+9+16}}\)

\( = \frac{-2+6+12-4}{\sqrt{4+9+16}}\)

= \(\frac{12}{\sqrt{29}}\)

Let OA be the line joining the origin, O (0, 0, 0), and the point, A (2, 1, 1).
Also, let BC be the line joining the points, B (3, 5, −1) and C (4, 3, −1).
The direction ratios of OA are 2, 1, and 1 and of BC are (4 − 3) = 1, (3 − 5) = −2, and
(−1 + 1) = 0
OA is perpendicular to BC, if a₁a₂ + b₁b₂ + c₁c₂ = 0
a₁a₂ + b₁b₂ + c₁c₂ = 2 × 1 + 1 (−2) + 1 ×0 = 2 − 2 = 0
Thus, OA is perpendicular to BC.

Answer is (b) - cot x + c

The Correct option is B. 0-8

1 light year (ly) = 9.46 × 10¹⁵ m

1 Astronomical unit (AU) = 1.496 × 10¹¹ m

1 Parallactic second (parsec) = 3.08 × 10¹⁶ m

Lat = |(1,1,1),(a,b,c),(bc,ca,ab)|

= |(1,0,0),(a,b - a,c - b),(bc,ca - bc,ab - ca)|

[By C₂ → C₂ - C₁ and C₃ → C₃ - C₂]

= |(1,0,0),(a,-(a - b),-(b - c),(bc,c(a - b),a(b - c)|

= (a - b)(b - c)|(1,0,0),(a,-1,-1),(bc,c,a)|

[Taking common (a - b) from C₂ & (b - c) from C₃

= (a - b)(b - c).1(-a + c)

= (a - b)(b - c)(c - a)

Answer is (b) tan^-1 2x/(1 - x²)

The correct option is (B).

Answer is (c) l₁/l₂ = m₁/m₂ = n₁/n₂

(a) 1 Kg m²s^-2 = ((1 x10³g) x (1 x 10² cm)²/1s²)

= 1 × 10⁷g cm²s^-2 

(b) 1 light year = 3 × 10⁸ × 3600 × 24 × 365 = 1 × 10¹⁶m

(c) 3.0 m s^-2 = (3 x 10^-3 km)/(1/3600h)² 

= 3.888 × 10⁴ km h^-2 = 3.9 × 10⁴ km h^-2 (expressed in 2 significant figures)

(d) G = 6.67 × 10^-11 Nm² (kg)^-2

1 N = 1 kg m s^-2

∴ G = 6.67 × 10 = 6.67 × 10^-11 × (100 cm)³ s^-2 (1000g)^-1

= 6.67 × 10^-8 (cm)³ s^-2 g^-1

The Correct option is C. t-RNA

According to question, x = a cos θ ...(i)

y = b sin θ...(ii)

Equation (i) differentiating w.r.t., θ

dx/dθ = ad cosθ/dθ

= a x (-sin θ) = -a sin θ

Then eq. (ii) differentiating w.r.t θ 

dy/dθ = bd sinθ/dθ = b cosθ 

Hence, dy/dx = dy/dθ/dx/dθ = b cosθ/-a sinθ 

= (b/-a) cot θ

Expending along the first row, we get

Δ = x(-x² - 1) - sin θ(-x sin θ - cos θ) + cos θ(-sin θ + x cos θ)

= - x³ + x + x sin² θ + sin θ.cos θ - sin θ.cos θ + x cos² θ 

= x³ + x + x(sin² θ + cos² θ) = - x³ + 2x

Hence, given determinant is independent of θ.

Answer is (d) - cot θ

The correct option is B) N₂ > N₁.

If N₁ and N₂ are number of turns in primary and secondary coil of a transformer then N₂ > N₁.

The correct option is B) v/sinθ.

From Snell's Law: 

n_₁sini = n_₂ sinr..................... (i) 

Where n₁ =Refractive index of first medium

Refractive index of second medium 

I = angle of incidence 

r = angle of refraction 

For critical angle: 

Angle of incidence = i = θ 

Angle of refraction = r = 90° 

By substituting in equation 1 we get: 

n_₁sinθ = n_₂sin90° 

n_₁sin θ = n_₂ x 1 Sinθ = n_₂/n_₁.................... (ii) 

But as we already know the equation= n = c/V 

Where n inversely proportional to V

If v and v₂ are the speeds of first medium and second medium then : 

n_₂/n_₁= v/v₂.............. (iii) 

By equation ii and iii we get, 

Sinθ = v/v₂ 

v₂sinθ = V 

⇒ v₂ = V/sinθ

The correct option is D) 2M/ π.

Let us consider a wire of length L and radius r. 

It is bent in a semicircular shape.

Hence Length of wire = circumference of semicircle

L= πr 

r = L/π 

Formula to be used Dipole moment = magnetic moment x minimum separation between two dipoles.

All other units which can be expressed in terms of fundamental units are called derived units.

(i) The burning of coal or petroleum products leads to air pollution.

(ii) The oxides of C, N, and S are released on burning fossil fuels as acidic oxides. It leads to acidic rain and affects water and soil.

There are following disadvantages of fossil fuels like coal and petroleum:
1. Burning of coal or petroleum causes air pollution.
2. Acidic oxides like oxides of carbon, nitrogen and sulphur are released on burning fossil fuels. These oxides lead to acid rains, which affect our water and soil resources.
3. Carbon dioxide gas also causes greenhouse effect in atmosphere.
4. Fossil fuels are non-renewable sources of energy.

The oxides of carbon, nitrogen and sulphur that are released on burning fossil fuels are acidic oxides. These lead to acid rain which affects our water and soil resources. In addition to the problem of air pollution, greenhouse effect of gases like carbon dioxide etc. These are the disadvantages of fossil fuels.

Methane and hydrogen are two combustible components of biogas.

(i) Used for production and proliferation of nuclear weapons.

(ii) Its generation is very expensive

उत्तल दर्पणों को इसलिए भी प्राथमिकता देते हैं क्योंकि ये सदैव सीधा प्रतिबिंब बनाते हैं यद्यपि वह छोटा होता है। इनका दृष्टि.क्षेत्र भी बहुत अधिक है क्योंकि ये बाहर की ओर वक्रित होते हैं। अतः समतल दर्पण की तुलना में उत्तल दर्पण ड्राइवर को अपने पीछे के बहुत बड़े क्षेत्र को देखने में समर्थ बनाते हैं।

Slurry is used as a manure.

Slurry is rich in nitrogen and phosphorus.

Nitrogen and phosphorus.

1. a. TRUE

2. b. Slurry

3. c. 50 - 60

4. a. Nitrogen and phosphorus

5. b. Cow dung

Nuclear reactor - Element B

Process - Nuclear fission

Hydrogen bomb - Element A

Process - Nuclear Fusion

Process of manuscript production in the Mughal court included the following: 

(a)Paper-maker’s responsibility was to prepare the folios of the manuscript. 

(b)Skill writer, i.e. scribes or calligrapher copied the texts. 

(c)Guilders, illuminated the pages of the manuscript. 

(d)Miniature painter illustrated the scene from the text. 

(e)The book binders gathered the folio and gave it to the original shape of a book.

1. The European indigo planters compelled the tenant farmers to grow indigo at terms highly disadvantageous to the farmers.

2. The tenant farmer was forced to sell it cheap to the planter and accepted advances from the planter that benefitted the latter. There were also cases of kidnapping, looting, flogging and burning.

3. Led by Digambar Biswas and Bishnu Charan Biswas, the ryots of Nadia district gave up indigo cultivation in September 1859. Factories were burnt down and the revolt spread.

1. b. Nuclear fusion

2. c. Both of these

3. a. Helium,neutron

4. a. TRUE

5. b. Thermonuclear

Zamindars used a technique called ‘false sale’. It was a technique they used in the transfer and sale of the zamindaris.

For example, a Raja in Bardwan, transferred some of his zamidaris to his mother Zamindaris in the name of women were not to be confiscated for auction.

Sometimes zamindars used their agents when their zamindaris were auctioned. When their zamindaris were auctioned because of non-payment of taxes in time, the agents of the zamindar took part in the auction and offered the highest bids winning the zamindaris. But they would not pay. Again the zamindaris would be offered for auction. The Zamindars would again send their agents and this way the process would go on endlessly. The government and the others taking part in the auction would be tired at the end, and the government will be forced to give the lands back to the original zamindar for a small price. Such false auctions were rampant.

Zamindars also used force to prevent the transfer of their lands. If outsiders tried to get into the zamindaris, the zamindars would use goondas to prevent them from occupying the land. Sometimes farmers themselves prevented outsiders from entering their land. There were many farmers who were loyal to their zamindars. They considered themselves as the loyal subjects of the zamindar. The sale of the land by auction would wound their self-respect and so they tried to prevent outsiders from coming there by using all kinds of means.

(a) Physical arrangement of the court, focused on the sovereign and status. 

(b) The throne (Takht) was the center of power. 

(c) In court, status was determined by spatial proximity to the king. 

(d) Social control in court society. 

(e) The forms of salutation to the ruler. 

(f) The protocols government diplomatic envoys at the Mughal Court were equally explicit. 

(g) The day began with personal religious devotions then Jharokha Darshan. 

(h) After that conduct of primary business of his government. 

(i) Discuss the confidential matters. 

(j) Celebration of festivals.

(b) Deccan Riots

(1) The troops of Zamindars were disbanded; 

(2) The courts were brought under the control of British collectors.

Elements with greater mass number indicate that their nucleus is highly unstable and when such nucleus is bombarded with a moving particle, it splits the nucleus easily. 

So the correct answer is D.

(1) Benami sales enabled the estate to be sold at a low price back to the Zamindar. 

(2) New Zamindars were attacked by former Zamindars. 

(3) The ryots resisted the entry of outsiders. 

(4) Some Zamindaris were declared property of ladies.

Agricultural products prices were very low. The East India Company had fixed high amount of revenue.