Arts (English Medium) कक्षा ११ - CBSE Question Bank Solutions for Mathematics

Find the union of the following pairs of sets:

A = {x : x is a natural number and 1 < x ≤ 6}

B = {x : x is a natural number and 6 < x < 10}

Find the union of the following pairs of sets:

A = {1, 2, 3}, B = Φ

Let A = {a, b}, B = {a, b, c}. Is A ⊂ B? What is A ∪ B?

If A and B are two sets such that A ⊂ B, then what is A ∪ B?

If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8} and D = {7, 8, 9, 10}; find

A ∪ B

Show that for any sets A and B, A = (A ∩ B) ∪ (A – B) and A ∪ (B – A) = (A ∪ B)

Find the equation for the ellipse that satisfies the given conditions:

Ends of major axis (±3, 0), ends of minor axis (0, ±2)

Find the equation for the ellipse that satisfies the given conditions:

Ends of major axis (0, `+- sqrt5`), ends of minor axis (±1, 0)

Find the equation for the ellipse that satisfies the given conditions:

b = 3, c = 4, centre at the origin; foci on the x axis.

Find the equation for the ellipse that satisfies the given conditions:

Centre at (0, 0), major axis on the y-axis and passes through the points (3, 2) and (1, 6)

Find the equation for the ellipse that satisfies the given conditions:

Major axis on the x-axis and passes through the points (4, 3) and (6, 2).

A man running a racecourse notes that the sum of the distances from the two flag posts form him is always 10 m and the distance between the flag posts is 8 m. find the equation of the posts traced by the man.

From the data given below state which group is more variable, A or B?