Forum

Working of institution

Of all the institutions that we have studied in this chapter, name the one that exercises the powers on each of the following matters.
a Decision on allocation of money for developing infrastructure like roads, irrigation etc. and different welfare activities for the citizens
b Considers the recommendation of a Committee on a law to regulate the stock exchange
c Decides on a legal dispute between two state governments
d Implements the decision to provide relief for the victims of an earthquake.

Working of institution

Match the ministry with the news that the ministry may have released: exercises
a A new policy is being made to increase the jute exports from the country.
b Telephone services will be made more accessible to rural areas.
c The price of rice and wheat sold under the Public Distribution System will go down.
d A pulse polio campaign will be launched.
e The allowances of the soldiers posted on high altitudes will be increased.
i Ministry of Defence
ii Ministry of Agriculture, Food and Public Distribution
iii Ministry of Health
iv Ministry of Commerce and Industry
v Ministry of Communications and Information Technology

Working of institution

Which of the following institutions can make changes to an existing law of the country?
a The Supreme Court
b The President
c The Prime Minister
d The Parliament

Working of institution

Which of the following statements about the judiciary is false?
a Every law passed by the Parliament needs approval of the SupremeCourt
b Judiciary can strike down a law if it goes against the spirit of the Constitution
c Judiciary is independent of the Executive
d Any citizen can approach the courts if her rights are violated

Working of institution

Who among the following is a part of the political executive?
a District Collector
b Secretary of the Ministry of Home Affairs
c Home Minister
d Director General of Police

Working of institution

If you are elected as the President of India which of the following decision can you take on your own?
a Select the person you like as Prime Minister.
b Dismiss a Prime Minister who has a majority in Lok Sabha.
c Ask for reconsideration of a bill passed by both the Houses.
d Nominate the leaders of your choice to the Council of Ministers.

Conic Sections

Write the equation of a parabola with vertex at the origin and axis along the x-axis. Identify its focus and directrix.

Complex Numbers

Find the modulus and argument of the complex number 3 minus 4i.

Principle of Mathematical Induction

Prove by mathematical induction that the sum of the first n odd numbers is equal to n squared.

Trigonometry

• Prove that the value of sin squared theta plus cos squared theta equals 1.