PUC Science इयत्ता ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

What is the difference between a collection and a set? Give reasons to support your answer? 

Which of the following collection are sets? Justify your answer: 

 A collection of all natural numbers less than 50.

Which of the following collection are sets? Justify your answer:

 The collection of good hockey players in India. 

The symmetric difference of A and B is

The symmetric difference of A = {1, 2, 3} and B = {3, 4, 5} is

For any two sets A and B,\[\left( A - B \right) \cup \left( B - A \right) =\] 

Which of the following statements is false:

For any three sets A, B and C ______.

Let \[A = \left\{ x : x \in R, x \geq 4 \right\} \text{ and } B = \left\{ x \in R : x < 5 \right\}\]  Then, \[n \left( A' \cap B' \right) =\] 

The distance between the directrices of the hyperbola x = 8 sec θ, y = 8 tan θ, is

A point moves in a plane so that its distances PA and PB from two fixed points A and B in the plane satisfy the relation PA − PB = k (k ≠ 0), then the locus of P is

The length of the straight line x − 3y = 1 intercepted by the hyperbola x² − 4y² = 1 is 

If X = {a, b, c, d} and Y = {f, b, d, g}, find 

Y – X

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find A'

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find B'

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (A ∪ C)'

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (A ∪ B)'

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (A')'

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (B -C)'

If U = {a, b, c, d, e, f, g, h}, find the complements of the following set:

A = {a, b, c}