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Q) How many terms of the A.P. 21, 18, 15, must be added to get the sum zero? (Q 23B- 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: From the given AP, First term a = 21 and common difference, d = 18 – 21 = – 3 Step 2: Let’s consider that sum […]
23 b. How many terms of the A.P. 21, 18, 15, must be added to get the sum zero? Read More »
Q) Find the length of the plank that can be used to measure the lengths 4 m 20 cm and 5 m 4 cm exactly, in the least time. (Q 24- 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s convert the lengths of given planks in single unit: ∵ Length of 1st plank
Q) Diagonals AC and BD of square ABCD intersect at P. Coordinates of points B and D are (9, – 2) and (1, 6) respectively. (i) Find the co-ordinates of point P. (ii) Find the length of the side of the square. (Q 25A – 30/3/3 – CBSE 2026 Question Paper) Ans: (i) Co-ordinates of
Q) Find the coordinates of a point on the line x + y = 5 which is equidistant from (6, 4) and (5, 2). (Q 25B – 30/3/3 – CBSE 2026 Question Paper) Ans: Let the coordinates of the this point be (x, y) Step 1: Since this point lies on equation, it will satisfy
Q) In the given figure, PA is the tangent to the circle with centre O such that OA = 10cm, AB = 8 cm and AB êž± OP . Find the length of PB. (Q 29 A – 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start from Δ OAB, here, ∠B
Q) Determine the ratio in which the line 3x + y – 9 = 0 divides the line segment joining the points (1, 3) and (2, 5). Find the point of intersection. (Q 28 – 30/3/3 – CBSE 2026 Question Paper) Ans: (i) calculating for division ratio Step 1: Let’s consider the given points are
Q) If sin θ + cos θ = √3, then prove that tan θ + cot θ = 1 (Q 29 A – 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Its given that sin θ + cos θ = √3 Squaring on both sides, we get ∴ (sin θ + cos θ) 2 =
29 a. If sin θ + cos θ = √3, then prove that tan θ + cot θ = 1 Read More »
Q) Prove that: (sin A + sec A)2 + (cos A + cosec A)2 = (1 + sec A cosec A)2. (Q 29 B – 30/3/3 – CBSE 2026 Question Paper) Ans: Let’s start from LHS: ∴ LHS = (sin A + sec A) 2 + (cos A + cosec A) 2 By algebraic identity,
29 b. Prove that: (sin A + sec A) ^ 2 + (cos A + cosec A) ^ 2 = (1 + sec A cosec A) ^ 2 Read More »
Q) In the given figure, chord AB subtends an angle of 120 0Â at the centre of the circle with radius 7 cm. Find: (i) Perimeter of major sector OACB (ii) Area of the shaded segment, if area of A OAB = 21.2 cm 2 (Q 30 – 30/3/3 – CBSE 2026 Question Paper) Ans: (i)
Q) Find two consecutive negative integers, sum of whose squares is 481. (Q 31 – 30/3/3 – CBSE 2026 Question Paper) Ans: Let’s consider the integers are n and (n + 1) (note: since these are consecutive, the difference will be 1) Step 1: Given condition is “Sum of whose squares is 481. ∴ n
31. Find two consecutive negative integers, sum of whose squares is 481. Read More »