Case study: Read the following passage and answer the questionS given below: The relation between the height of the plant(‘y’ in cm) with respect to its exposure to the sunlight is governed by the following equation , where ‘x’ is the number of days exposed to the sunlight, for x ≤ 3. (i) Find the … Read more
CBSE 12th and 10th Class Date Sheet 2024 The CBSE 12th Date sheet 2024 has been released. The exam dates were announced on 29 December 2023. The CBSE 12th board exams are scheduled to commence on 15 February 2024 and conclude on 05 April 2024. For winter-bound schools, practical exams have also been scheduled from … Read more
evaluate int 0 pi 2 frac xsin x cos x sin4x cos4x Question 1: Evaluate: Solution: Let I = . . . (i) Using property I = ⇒ I = ⇒ I = ⇒ Dividing by in numerator and denominator ⇒ ……..(ii) Let The limits are, when
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
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
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
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
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
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
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