CBSE Class 12 Preparation Tips for Maths

Relations and Functions

• Relations and Functions

• Inverse Trigonometric Functions

Algebra

• Matrices

• Determinants

Calculus

• Continuity and Differentiability

• Applications of Derivatives

• Integration

• Applications of Integrals

• Differential Equations

Vectors and Three-dimensional Geometry

• Vectors

• Three dimensional Geometry

Important Questions

• If A is a square matrix, such that A2=A, then write the value of 7A−(I+A)3, where I is an identity matrix. 

• A given rectangular area is to be fenced off in a field whose length lies along a straight river. If no fencing is needed along the river, show that the least length of fencing will be required when length of the field is twice its breadth.

• Out of a group of 8 highly qualified doctors in a hospital, 6 are very kind and cooperative with their patients and so are very popular, while the other two reserved. For a health camp, three doctors are selected at random. Find the probability distribution of the number of very popular doctors. What values are expected from the doctors?

• A company manufactures two types of sweaters, type A and type B. It costs Rs. 360 to make one unit of type A and Rs. 120 to make a unit of type B. The company can make atmost 300 sweaters and can spend atmostRs. 72000 a day. The number of sweaters of type A cannot exceed the number of type B by more than 100. The company makes a profit of Rs. 200 on each unit of type A but considering the difficulties of a common man the company charges a nominal profit of Rs. 20 on a unit of type B. Using LPP, solve the problem for maximum profit.