Commerce (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

If A and B are two given sets, then \[A \cap \left( A \cap B \right)^c\] 

If A = {x : x is a multiple of 3} and , B = {x : x is a multiple of 5}, then A − B is 

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus is

If  \[A \cap B - B\] 

An investigator interviewed 100 students to determine the performance of three drinks: milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee; 25 students take milk and tea; 12 students take milk only; 5 students take coffee only and 8 students take tea only. Then the number of students who did not take any of three drinks is 

For any two sets A and B, \[A \cap \left( A \cup B \right)'\]is equal to

Find the derivative of f(x) = xⁿ, where n is positive integer, by first principle.

`lim_(x -> 0) x sin  1/x` is equal to ______.

Find the equation of the hyperbola satisfying the given conditions:

Foci (±4, 0), the latus rectum is of length 12.

Find the equation of the hyperbola satisfying the given conditions:

Vertices (±7, 0), e = `4/3`

Find the axes, eccentricity, latus-rectum and the coordinates of the foci of the hyperbola 25x² − 36y² = 225.

Find the equation of the hyperbola satisfying the given condition :

 foci (± \[3\sqrt{5}\] 0), the latus-rectum = 8

find the equation of the hyperbola satisfying the given condition:

 foci (± \[3\sqrt{5}\]  0), the latus-rectum = 8

find the equation of the hyperbola satisfying the given condition:

foci (0, ± 12), latus-rectum = 36

Write the eccentricity of the hyperbola whose latus-rectum is half of its transverse axis.

If the latus-rectum through one focus of a hyperbola subtends a right angle at the farther vertex, then write the eccentricity of the hyperbola.

The latus-rectum of the hyperbola 16x² − 9y² = 144 is

Find the equation of the circle with:

Centre (−2, 3) and radius 4.

Find the equation of the circle with:

Centre (a, b) and radius\[\sqrt{a^2 + b^2}\]