Q) In a classroom, 4 friends are seated at the points A, B , C , and D as shown in Figure. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, Don’t you think ABCD is a square? Chameli disagrees. Using distance formula, find which of them […]
In a classroom, 4 friends are seated at the points A, B , C , and D as shown in Figure. Read More »
Q) Swimming Pool : The volume of water in a rectangular, in-ground, swimming pool is given by V (x)= x3 + 11 x2 + 24x, where V (x) is the volume in cubic feet when the water is x ft high. (i) Find the dimension of base of pool. (ii) Use the remainder theorem to
The volume of water in a rectangular, in-ground, swimming pool is given by V (x)= Read More »
Q) Atal Tunnel : Atal Tunnel (also known as Rohtang Tunnel) is a highway tunnel built under the Rohtang Pass in the eastern Pir Panjal range of the Himalayas on the Leh-Manali Highway in Himachal Pradesh. At a length of 9.02 km, it is the longest tunnel above 10,000 feet (3,048 m) in the world
Q) Architect : An architect is a skilled professional who plans and designs buildings and generally plays a key role in their construction. Architects are highly trained in the art and science of building design. Since they bear responsibility for the safety of their buildings’ occupants, architects must be professionally licensed. Varsha is a licensed
Architect : An architect is a skilled professional who plans and designs buildings Read More »
Q) An arc of a circle of radius 10 cm subtends a right angle at the centre of the circle. Find the area of the corresponding major sector. (Use π = 3·14) Ans: The Area of an arc making θ angle at centre is given by: A = π r 2 x given the values as
(Q) The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find their present ages. Ans: Let’s consider the present age of Father is X and present age of
Q) Find the value of ‘k’ for which the quadratic equation (k + 1) y2 – 6 (k + 1) y + 3 (k + 9) = 0, k ≠ – 1 has real and equal roots. [CBSE 2024 – Series 5 – Set 1] Ans: Given quadratic equation is: (k
Find the value of k for which the quadratic equation (k + 1) y2 – 6(k +1) y + 3(k +9)= 0 Read More »
Q) From a point on a bridge across the river, the angles of depressions of the banks on opposite sides of the river are 30° and 60° respectively. If the bridge is at a height of 4 m from the banks, find the width of the river. Ans: Let’s start with a diagram for this
From a point on a bridge across the river, the angles of depressions of the banks Read More »
Q) In the given figure, Δ FEC ≅ Δ GDB and ∠ 1 = ∠ 2. Prove that Δ ADE ~ Δ ABC. Ans: Step 1: Since Δ FEC ≅ Δ GDB ∴ BD = CE (by CPCT) Step 2: Since ∠ 1 = ∠ 2 ∴ AD = AE (since sides
In the given figure, Δ FEC ≅ Δ GDB and ∠ 1 = ∠ 2.Prove that Δ ADE ~ Δ ABC. Read More »
Q) A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 5·8 cm and its base is of radius 2·1 cm, find the total surface area of the article. Ans: Let’s make a diagram marking all
A wooden article was made by scooping out a hemisphere from each Read More »