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Show that the vectors `veca, vecb` are coplanar if `veca+vecb, vecb+vecc ` are coplanar.
Concept: Product of Two Vectors > Scalar (Or Dot) Product of Two Vectors
Using integration find the area of the triangle formed by positive x-axis and tangent and normal of the circle
`x^2+y^2=4 at (1, sqrt3)`
Concept: Area Under Simple Curves
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.
Concept: Graphical Method of Solving Linear Programming Problems
Name any three national tournaments in hockey.
Concept: National and International Tournaments of Hockey
Explain the term Free throw in basketball.
Concept: Rules and Regulations of Basketball Game
List any three jump ball situations in basketball.
Concept: Rules and Regulations of Basketball Game
Explain any four duties of the service judge.
Concept: Rules of the Badminton Game
Explain any three features of a parliamentary form of government.
Concept: Parliamentary and Presidential Forms of Government (U.K. and U.S.A.)
Explain the original jurisdiction and appellate jurisdiction of the Supreme Court of India.
Concept: The Supreme Court
Discuss any four factors affecting price elasticity of demand.
Concept: Elasticity of Demand
Explain any four exceptions to the law of supply
Concept: Concept of Supply - Supply Schedule and Supply Curve
Give any two differences between returns to a factor and returns to scale.
Concept: Returns to a Factor
Explain the implication of ‘freedom of entry and exit to the firms’ under perfect competition.
Concept: Features of Perfect Competition
Show with the help of a diagram, how a perfectly competitive firm earns a normal profit in short-run equilibrium.
Concept: Features of Perfect Competition
Answer the following question.
With the help of a diagram, show the circular flow of income in a two-sector model with Savings and Investment.
Concept: Circular Flow of Income (Two Sector Model)
State whether the following items will be included in the estimation of National Income or not? Give a reason for your answer.
Fresh tomatoes used by a food processing company.
Concept: Aggregates Related to National Income - Gross National Product (GNP)
As a member of the Student Council of you school, you wish to start an old clothes collection drive. These clothes are to be donate to an orphanage nearby. Write a proposal in not more than 150 words, stating the steps you would take to make it a seccess.
Concept: Writing Skills
You are the editor of your school magazine. You have recently attended a cultural program in your city. Write an account of this program (in approximately 300 words) using the points given below:
| Date and venue — occasion — Chief Guest — other invitees — inauguration — events —other important features — highlights — reaction of audience — conclusion. |
Concept: Writing Skills
Your uncle has promised to give you a gift of Rs. 1000/-. Write a letter thanking him for the offer, tell him how you plan to spend the money; and why you wish to spend it in this way.
Concept: Writing Skills
Answer the following question.
Mention the latitudinal and the longitudinal extent of India.
Concept: Locational Setting - India
