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

Coordinate planes divide the space into ______ octants.

Three vertices of a parallelogram ABCD are A (3, –1, 2), B (1, 2, –4) and C (–1, 1, 2). Find the coordinates of the fourth vertex.

If the origin is the centroid of the triangle PQR with vertices P (2a, 2, 6), Q (–4, 3b, –10) and R (8, 14, 2c), then find the values of a, b and c.

Evaluate the following limit.

`lim_(x -> 3) x + 3`

Evaluate the following limit.

`lim_(x -> pi) (x - 22/7)`

Evaluate the following limit:

`lim_(r -> l) pir^2`

Evaluate the following limit.

`lim_(x -> 4) (4x + 3)/(x - 2)`

Evaluate the following limit.

`lim_(x-> -1) (x^10 + x^5 +1)/(x -1)`

Evaluate the following limit.

`lim_(x -> 0) ((x+1)^5 - 1)/x`

Evaluate the following limit.

`lim_(x- > 2) (3x^2 - x - 10)/(x^2- 4)`

Evaluate the following limit.

`lim_(x -> 3) (x^4 - 81)/(2x^2-5x - 3)`

Evaluate the following limit.

`lim_(x-> 0) (ax + b)/(cx + 1)`

Evaluate the following limit.

`lim_(z -> 1) (z^(1/3) - 1)/(z^(1/6) -1)`

Evaluate the following limit.

`lim_(x -> 1) (ax^2 + bx  + c)/(cx^2 + bx + a), a+b+c != 0`

Evaluate the following limit.

`lim_(x -> -2) (1/x + 1/2)/(x + 2)`

Evaluate the following limit.

`lim_(x -> 0) (sin ax)/ (bx)`

Evaluate the following limit.

`lim_(x -> 0) (sin ax)/(sin bx), a, b != 0`

Which of the following sentences are statements? Give reasons for your answer.

There are 35 days in a month.

Which of the following sentences are statements? Give reasons for your answer.

Mathematics is difficult.

Which of the following sentences are statements? Give reasons for your answer.

The sum of 5 and 7 is greater than 10.