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Q) Evaluate : (3 cos 2 30 – 6 cosec 2 30) / tan 2 60. (Q 25 B – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1:Given expression is: It can also be expressed as: Step 2: We know that the value of cos 30 0 = , cosec 30 0 = 2 and tan 60 0 = √3 […]
25 b. Evaluate : (3 cos2 30◦−6 csc2 30◦)/tan2 60◦ Read More »
Q) A trader has three different types of oils of volume 870 L, 812 L and 638 L. Find the least number of containers of equal size required to store all the oil without getting mixed. (Q 26 – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s examine & understand the question calmly:
Q) To protect plants from heat, a shed of iron rods covered with green cloth is made. The lower part of the shed is a cuboid mounted by semi-cylinder as shown in the figure. Find the area of the cloth required to make this shed, if dimensions of the cuboid are 14 m × 25
Q) The internal and external radii of a hollow hemisphere are 5√2 cm and 10 cm respectively. A cone of height 5√7 cm and radius 5√2 cm is surmounted on the hemisphere as shown in the figure. Find the total surface area of the object in terms of π. (Use √2 = 1.4) (Q 27
Q) In a class test, Veer scored 6 more than twice as many marks as Kevin scored. If one of them had scored 4 more marks, their total score would have been 40. Find the marks obtained by Veer and Kevin. (Q 28 A – 30/4/2 – CBSE 2026 Question Paper) Ans: Let’s consider the
Q)Â Solve the linear equations 3 x + y = 14 and y = 2 graphically. (Q 28 B – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: To solve the given linear equations, let’s first plot both lines and find point of intersection. (i) For 3 x + y = 14:at x =
28 b. Solve the linear equations 3 x + y = 14 and y = 2 graphically. Read More »
Q) A bag contains 30 balls out of which ’m’ number of balls are blue in colour.(i) Find the probability that a ball drawn at random from the bag is not blue.(ii) If 6 more blue balls are added in the bag, then the probability of drawing a blue ball will be 5/4 times the
29. A bag contains 30 balls out of which ’m’ number of balls are blue in colour. Read More »
Q) Prove that: (Q 30 – 30/4/2 – CBSE 2026 Question Paper) Ans: [Note: solved in two methods: please choose whichever you find easier] Method 1: Step 1: Let’s start from LHS and simplify it: LHS = = = = = = ∵ by trigonometric identity, sin 2 θ + cos 2 θ = 1 ∴ LHS
30. Prove that: 1 /(sec x − tan x) − 1/cos x = 1/cos x – 1 / (sec x + tan x) Read More »
Q) The perimeter of sector OAB of a circle with centre O and radius 5.6 cm, is 15.6 cm. Find length of the arc AB. Also find the value of θ. (Q 31 – 30/4/2 – CBSE 2026 Question Paper) Ans: Length of Arc AB: We are given: Perimeter of sector OAB = 15.6 cm
Q) A kite is flying at a height of 60 m above the ground level. Ravi, standing at the roof of the house is holding the string straight and observes the angle of elevation of kite as 30Â 0 . From the bottom of the same building, the angle of elevation of kite is 45 0.