Think how each of the list given above form an A.P. Discuss with your friends.
(d) Cash prizes (in Rs.) given by a school to the toppers of classes I to XII are 200, 250, 300, 350,.......,750 respectively.

Think how each of the list given above form an A.P. Discuss with your friends. (c) The balance money (in Rs.) after paying 5% of the total loan of Rs. 1000 every month is 950, 900, 850, 800, ....,50

Think how each of the list given above form an A.P. Discuss with your friends. (e) Total savings (in Rs.) after every month for 10 month when Rs. 50 are saved each month are 50, 100, 150, 200, 250, 300, 350, 400,450,500.

Think how each of the list given above form an A.P. Discuss with your friends. (a) Heights (in cm) of some students of a school standing in a queue in the morning assembly are 147, 148, 149,......,157

Think how each of the list given above form an A.P. Discuss with your friends. (b) Minimum temperatures (in degree celcius) recorded for a week, in the month of January in a city, arranged in assending order are -3.1, -3.0, -2.9, -2.8, -2.7, -2.6, -2.5

In which of the following situations, do the lists of numbers involved form an A.P. ? Give reasons for your answer. The fee charged every month by a school from Classes I to XII, when the monthly fee for Class I is Rs 250, and it increases by Rs 50 for the next higher class.

In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. (i) The fee charged from a student every month by a school for the whole session, when the monthly fee is Rs. 400. (ii) The fee charged every month by a school from classes I to XII, When the monthly fee for class I is Rs. 250 and it increases by Rs. 50 for the next higher class. (iii) The amount of money in the account of Varun at the end of every year when Rs. 1000 is deposited at simple interest of 10% per annum. (iv) The number of bacteria in a certain food item after each second, when they double in every second.

In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. (i) The fee charged from a student every month by a school for the whole session, when the monthly fee is Rs. 400. (ii) The fee charged every month by a school from classes I to XII, When the monthly fee for class I is Rs. 250 and it increases by Rs. 50 for the next higher class. (iii) The amount of money in the account of Varun at the end of every year when Rs. 1000 is deposited at simple interest of 10% per annum. (iv) The number of bacteria in a certain food item after each second, when they double in every second.

Two parallel beams of light P and Q (separation d) containing radiation of wavelengths 4000A and 5000A (which are mutually coherent in each wavelength separately) are incident normally on a prism as shown in fig. The refractive index of the prism as a function of wavelength is given by the relation. mu(lamda)=1.20+(b)/(lamda^(2)) Where lamda is in A and b is positive constant. The value of b is such that the condition wave length and is not satisfied for the other. (a) Find the value of b. (b) find the deviation of the beams transmitted through the face AC. (c) A convergent lens is used to bring these transmitted beams into focus. If the intensities of transmission form the face AC, are 41 and I respectively, find the resultant intensity at the focus.

Two schools P\ a n d\ Q want to award their selected students on the values of Tolerance, Kindness and Leadership. The school P wants to award Rs x each, Rs y each and Rs z each for the three respective values to 3, 2 and 1 students respectively with a total award money of Rs 2,200. School Q wants to spend Rs 3,100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P) . If the total amount of award for one prize on each values is Rs 1,200, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

You are given following information about four producers A,B,C and D in an economy. A sells Rs. 300 worth of his output to B, Rs. 200 worth of his output to C and Rs. 500 worth of output to households. The sales of B to A, C and D are worth Rs. 400, Rs. 200 and Rs. 300 respectively. C sells to A, B and D output worth Rs. 100 each. Sales by C to households are worth Rs. 900. D sells to household output worth Rs. 700. His exports are worth Rs. 300 while stock worth Rs. 200 remains unsold with D. Estimate the value added by. (i) A, B, C and D separately. (ii) All of them together.