Q) From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower with angle of depression 300 and 450 respectively. Find the distance between the two cars. (use 3 = 1.73) Ans: Let PQ be the tower, A and B the two cars, man observes […]
Q) The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 600 and the angle of elevation of the top of the second tower from the foot of the first tower is 300. Find the distance between the two towers and
Q) Solve the equation for x: 1 + 4 + 7 + 10 + …. + x = 287 Ans: We can see that it is AP with first term a = 1 and common difference d = 3 Let x be the value of nth term and we need to find value of this
Solve the equation for x: 1 + 4 + 7 + 10 + …. + x = 287 Read More »
Q) Reeti prepares a rakhi for her brother Ronit. The Rakhi consists of a rectangle of length 8 cm and breadth 6 cm inscribed in a circle as shown in the figure. Find the area of the shaded region. (Use = 3.14) Ans: VIDEO SOLUTION STEP BY STEP SOLUTION Since the rectangle is inscribed inside
Q) Prove that: = 2 cosec θ Ans: LHS = = = = = = = = 2 cosecθ = RHS ……… Hence Proved !
Prove that: sin θ / (1 + cos θ) + (1 + cos θ) / sin θ = 2 cosec θ Read More »
Q) Prove that 4n can never end with digit 0, where n is a natural number. Ans: Let’s assume that 4n ends with 0. Since now it ends with zero, it is multiple of 10 and hence, it must be divisible by 2 and 5 both. This clearly means, that the factors of 4n should include
Prove that 4^n can never end with digit 0, where n is a natural number. Read More »
Q. Computer-based learning (CBL) refers to any teaching methodology that makes use of computers for information transmission. At an elementary school level, computer applications can be used to display multimedia lesson plans. A survey was done on 1000 elementary and secondary schools of Assam and they were classified by the number of computers they had.
Q) In a coffee shop, coffee is served in two types of cups. One is cylindrical in shape with diameter 7 cm and height 14 cm and the other is hemispherical with diameter 21 cm. Based on the above, answer the following questions: (i) Find the area of the base of the cylindrical cup. (ii)
Q) In an annual day function of a school, the organizers wanted to give a cash prize along with a memento to their best students. Each memento is made as shown in the figure and its base ABCD is shown from the front side. The rate of silver plating is Rs. 20 per cm2. Based
Q) Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn intersecting AC in LL and AD (produced) in E. Prove that EL = 2BL. Ans: In Δ BMC and Δ EMD, MC = MD (given) ∠ CMB = ∠ EMD (Opposite angles) ∠ MBC = ∠