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Q) Solve for x and y : √2 x + √3 y = 5 and √3 x – √8 y = -√6 PYQ: Q 21 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: To solve for x and y, we need to solve the given system of equations: √2 […]
Solve for x and y : √2 x + √3 y = 5 and √3 x – √8 y = -√6 Read More »
Q) The cost of 2 kg apples and 1 kg of grapes on a day was found to be ₹320. The cost of 4 kg apples and 2 kg grapes was found to be ₹600. If the cost of 1 kg of apples is x and 1 kg of grapes is y, represent the given
Q) The coordinates of the end points of the line segment AB are A(-2, -2) and B(2, -4). P is the point on AB such that BP = AB. Find the coordinates of point P.   PYQ: Q 22 – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: Step 1: Given
Q) An unbiased coin is tossed. If the outcome is a head, then a pair of unbiased dice is rolled and the sum of the numbers obtained on them is noted. If the toss of the coin results in a tail, then a card from a well-shuffled pack of nine cards numbered 1,2,3,…. 9 is randomly
      Q) Find the angle between the pair of straight lines: x – 4 y = 3 and 6 x – y = 11. [Practice Paper 1, 2023-24, Dir of Edu, GNCT of Delhi] Ans: The equations of the lines are x – 4y = 3 and 6 x – y
Find the angle between the pair of straight lines x-4y=3 and 6x-y=11 Read More »
      Q) A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability that: (i) One is red and two are white (ii) Two are blue and one is red (iii) One is red [Practice Paper 1, 2023-24, Dir of Edu,
A bag contains 6 red, 4 white and 8 blue balls. If three balls are Read More »
      Q) In an AP first term is 2 and the sum of the first five terms is one- fourth of next five terms, show that 20th term is -112. [Practice Paper 1, 2023-24, Dir of Edu, GNCT of Delhi] Ans: [Here, we are given value of a, value of d
In an AP first term is 2 and the sum of the first five terms is one- fourth Read More »
      Q) If the coefficient of (r-5)th and (2r-1)th term in the expansion of (1+x)34 are equal, then find the value of r. [Practice Paper 1, 2023-24, Dir of Edu, GNCT of Delhi] Ans: Step 1: Since in binomial expansion of (x + y)n, the term Tr+1 is given by: Tr+1 = Xn-r
If the coefficient of (r-5)th and (2r-1)th term in the expansion of (1+x)34 Read More »
      Q) In the given figure, and AB = 5 cm. Find the value of DC. [UP Board Exam paper, 2024] Ans: Step 1: Lets start with Δ AOB and Δ COD: If these triangles are similar, then: Since it is given that , Therefore, by SAS criterion of similarity, Δ
In the given figure, AO/OC=BO/OD=1/2 and AB = 5 cm. Find the value of DC. Read More »
      Q) Both the ends of a metallic solid cylinder are semi-spherical. Its total height is 19 cm and diameter of the cylinder is 7 cm. Find the weight of the solid if weight of 1 cm³ of the metal is 4.5 g. Ans: Step 1: Let’s make diagram for our