## A thief runs with a uniform speed of 100 m/minute.

Question 11:- A thief runs with a uniform speed of 100 m/minute. After one minute, a policeman ran after to catch him. He goes with a speed of 100 m/minute in the first minute and increase his speed by 10 m/minute every succeeding minute. After how many minute the policeman will catch the thief ?  … Read more

## Evaluate int 0 to pi x cos x upon 1 plus cos square x

Question 2: Evaluate: Solution:  Let ………….(i) Using property ……….(ii) Put New limits, when x = 0, t ⇒ 1 and x = π ⇒ t = -1 Putting in eq (ii)   See the last year paper class 12 Mathematics cbse class 12 math paper 2024 set 2 series qss4r-4

## The present age of a father is three years more than

The present age of a father is three years more than three times the age of his son. Three years hence, the father,s age will be 10 years more than twice the age of the son. Determine their present ages.            [CBSE  2020] Answer:-  Let ‘x’ (in years) be the present … Read more

## A sum of ₹ 4,250 is to be used to give 10 cash prizes

Question 10: A sum of ₹ 4,250 is to be used to give 10 cash prizes to students of a school for their overall academic performance. If each prize is ₹ 50 less than its preceding prize, find the value of each of the prizes.                [CBSE     2017] … Read more

## A child puts one five-rupees coin of her savings in the

Question 9: A child puts one five-rupees coin of her savings in the piggy bank on the first day. She increases her saving by one five-rupee coin daily. If the piggy bank can hold 190 coins of five rupees in all, find the number of days she can continue to put the five -rupee coins … Read more

## Yasmeen saves ₹ 32 during the first month ₹ 36

Question 8: Yasmeen saves ₹ 32 during the first month ₹ 36 in the second month and ₹ 40 in the third month. If she continues to save in this manner, in how many months will she save ₹ 2000? Answer :  Since, Hence, A.P.  32, 36, 40 .   .  . a = 32, d … Read more

## Show that the sum of all terms of an A.P. whose first term is a

Question 7: Show that the sum of all terms of an A.P. whose first term is a, the second term is b and the last term is c is equal to .                                                … Read more

## If the sum of first ‘p’ terms of an A.P. is ‘q’

Question 6: If the sum of first ‘p’ terms of an A.P. is ‘q’ and the sum of first ‘q’ terms is ‘p’ ; then show that the sum of the first (p + q) terms is {-(p + q)}. Solution: Let the first term of an A.P. = a Common difference of A.P.  = … Read more

## If the sum of first m terms of an A.P. is some as

Question 5: If the sum of first m terms of an A.P. is some as the sum of its first n terms, show that the sum of its first (m + n) terms is zero.                                          … Read more

## The digits of a positive number of three digits are in A.P.

Question 4: The digits of a positive number of three digits are in A.P.  and  their sum is 15. The number obtained by reversing the digits  is 594 less than the original number. Find the number. Solution: Let the required three digits in A.P. of three digit number  = (a – d), a, (a + … Read more