Science (English Medium) Class 11 - CBSE Question Bank Solutions

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

A = {a, b, c}

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

B = {d, e, f, g}

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

C = {a, c, e, g}

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

D = {f, g, h, a}

Taking the set of natural numbers as the universal set, write down the complements of the following set:

{x : x is an even natural number}

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that (A ∪ B)' = A' ∩ B'

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that (A ∩ B)' = A' ∪ B'

Let U be the set of all triangles in a plane. If A is the set of all triangles with at least one angle different from 60°, what is A'?

Fill in the blank to make the following a true statement:

A ∪ A' = _____

Fill in the blank to make the following a true statement:

Φ′ ∩ A = _____

Fill in the blank to make the following a true statement:

A ∩ A' = _____

Fill in the blank to make the following a true statement:

U' ∩ A = _____

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola.

`x^2/16 - y^2/9 = 1`

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola.

`y^2/9 - x^2/27 = 1`

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola.

9y² – 4x² = 36

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola.

16x² – 9y² = 576

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola.

5y² – 9x² = 36

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola.

49y² – 16x² = 784

Find the centre, eccentricity, foci and directrice of the hyperbola .

16x² − 9y² + 32x + 36y − 164 = 0