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Q) In figure, a circle is inscribed in a Δ ABC having sides BC = 8 cm, AB = 10 cm and AC = 12 cm. Find the length BL, CM, and AN. Ans: Step 1: Let’s consider BL = X CL = BC – BL ∴ CL = 8 – X ………(i) Step 2: Since, […]
Q) Literacy rates of 40 cities are given in the following table. It is given that mean literacy rate is 63.5, then find the missing frequencies x and y. Ans: Step 1: Let’s re-organize the data in the frequency table to find out each part: Step 2: Given that the total of frequencies = 40
Q) If the median of the following frequency distribution is 32.5. Find the values of f1 and f2 . Ans: Step 1: Let’s re-organize the data in the frequency table to find out each part: Step 2: Given that the total of frequencies = 40 ∴ 31 + f1 + f2 = 40 ∴ f1
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