HSC Science Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Integrate the following with respect to x:

`tanx/cosx`

Integrate the following with respect to x:

`cosx/(sin^2x)`

Integrate the following with respect to x:

`1/(cos^2x)`

Integrate the following with respect to x:

12³ 

Integrate the following with respect to x:

`(x^24)/(x^25)`

Integrate the following with respect to x:

e^x

Integrate the following with respect to x:

(1 + x²)^–1 

Integrate the following with respect to x:

`(1 - x^2)^(- 1/2)`

Choose the correct alternative:

If `int f(x) "d"x = g(x) + "c",` then `int f(x)g"'"(x) "d"x`

If two coins are tossed simultaneously, then find the probability of getting one head and one tail

If two coins are tossed simultaneously, then find the probability of getting atmost two tails

Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that one is a mango and the other is an apple

Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that both are of the same variety

Choose the correct alternative:

A number is selected from the set {1, 2, 3, ..., 20). The probability that the selected number is divisible by 3 or 4 is

Find x if `1/(6!) + 1/(7!) = x/(8!)`

Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 5 and r = 2.

State whether the following set are finite or infinite.

{x ∈ N : x is an even prime number}

State whether the following set are finite or infinite.

{x ∈ N : x is an odd prime number}

State whether the following set are finite or infinite.

{x ∈ Z : x is even and less than 10}

State whether the following set are finite or infinite.

{x ∈ R : x is a rational number}