Q) Ms. Sheela visited a store near her house and found that the glass jars are arranged one above the other in a specific pattern. On the top layer there are 3 jars. In the next layer there are 6 jars. In the 3rd layer from the top there are 9 jars and so on till […]
Ms. Sheela visited a store near her house and found that the glass jars are arranged Read More »
Q) Triangle is a very popular shape used in interior designing. The picture given above shows a cabinet designed by a famous interior designer.Here the largest triangle is represented by △ ABC and smallest one with shelf is represented by △ DEF. PQ is parallel to EF.(i) Show that △ DPQ ∼ △ DEF.(ii) If DP=
Q) Metallic silos are used by farmers for storing grains. Farmer Girdhar has decided to build a new metallic silo to store his harvested grains. It is in the shape of a cylinder mounted by a cone. Dimensions of the conical part of a silo is as follows: Radius of base = 1.5 m, Height = 2
Metallic silos are used by farmers for storing grains. Farmer Girdhar has decided Read More »
Q) If the sum of first 7 terms of an A.P. is 49 and that of first 17 terms is 289, find the sum of its first 20 terms. Ans: Let’s consider the first term be A and the common difference be D. Step 1: We know that sum of first n terms of an A.P.
If the sum of first 7 terms of an A.P. is 49 and that of first 17 terms is 289 Read More »
Q) Prove that Ans: Let’s start from LHS: LHS = = We know that sin2 θ + cos2 θ = 1 By substituting this value in the above equation, we get: LHS = = = = = = = Hence Proved ! Please do press “Heart” button if you liked the solution.
Prove that (sin θ – 2 sin3 θ) / (2 cos3 θ – cos θ) = tan θ Read More »
Q) Vocational training complements traditional education by providing practical skills and hands-on experience. While education equips individuals with a broad knowledge base, vocational training focuses on job-specific skills, enhancing employability thus making the student self reliant. Keeping this in view, a teacher made the following table giving the frequency distribution of students/adults undergoing vocational training
Vocational training complements traditional education by providing practical skills Read More »
Q)Teaching Mathematics through activities is a powerful approach that enhances students’ understanding and engagement. Keeping this in mind, Ms. Mukta planned a prime number game for class 5 students. She announces the number 2 in her class and asked the first student to multiply it by a prime number and then pass it to second
Teaching Mathematics through activities is a powerful approach that enhances students’ Read More »
Q) A stable owner has four horses. He usually tie these horses with 7 m long rope to pegs at each corner of a square shaped grass field of 20 m length, to graze in his farm. But tying with rope sometimes results in injuries to his horses, so he decided to build fence around the
A stable owner has four horses. He usually tie these horses with 7 m long rope to pegs Read More »
Q) Prove that , if . Ans: Let’s start from LHS: LHS = = = = = = ∵ . ∴ and ∴ LHS = = = = = = RHS Hence Proved ! Please do press “Heart” button if you liked the solution.
Prove that (cosec 2 θ – sec 2 θ) / (cosec 2 θ + sec 2 θ) = 3/4, if tan θ = 1/√7. Read More »
Q) A person standing on the bank of a river observes that the angle of elevation of the top of a tower on the opposite bank is 60°. When he moves 30 m away from the bank, he finds the angle of elevation to be 30°. Find the height of the tower and width of
A person standing on the bank of a river observes that the angle of elevation of the top Read More »