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Q) Find a quadratic polynomial whose zeroes are (5-2√3) and (5+2√3). (Q24 – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: The zeroes for the polynomial given as (5 – 2√3) and (5 + 2√3): Let’s consider, one root, α = (5 – 2√3) and other root, β = (5 + 2√3) Step 2: Sum […]
24. Find a quadratic polynomial whose zeroes are (5-2√3) and (5+2√3). Read More »
Q) In â–³ABC, DE ∥ BC. If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, then find the value of x. (Q 25 A – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s make a diagram for better understanding of the question:
Q) In the figure given above, â–³ ABC ∼ â–³XYZ, then find the values of x and y. (Q 25 B – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: Since it is given that Δ ABC ~ Δ XYZ, ∴ ∵ XY = x cm, AB = 4 cm, YZ = 7.2 cm,
25 b. In the figure given above, △ ABC ∼ △XYZ, then find the values of x and y. Read More »
Q) If x = h + a cos θ, y = k + b sin θ, then prove that : (Q 26 A – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: We are given: x = h + a cos θ ∴ x – h = a cos θ …………… (i) Also, we
Q) Prove that : (Q 26 B – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start from LHS: LHS = = = = = = Step 2: Since 1 + tan 2 A = sec 2 A ∴ sec 2 A – 1 = tan 2 A Step 3: By substituting this
26 b. Prove that : tan A/(1+sec A) −tan A/(1−sec A) = 2 cosec A. Read More »
Q) In the given figure, â–³ABC is a right triangle in which∠B = 90º, AB = 4 cm and BC = 3 cm. Find the radius of the circle inscribed in the triangle ABC. (Q27 A – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: GIvne that Δ ABC is right-angled at B, AB
Q) A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surface areas are in the ratio 8: 5, then find the ratio between the radius of their bases to their height. [Q 28 – 30/1/3 – CBSE 2026 Question Paper] Ans: Step 1: Let’s draw a diagram
Q) Two different coins are tossed simultaneously. What is the probability of getting:(i) at least one head? (ii) at most one tail ? (iii) a head and a tail? (Q 29 – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: We know that in case of n coins, the total outcomes = (2)n ∵
Q) In the given figure, if a circle touches the side QR of a â–³PQR at S and extended sides PQ and PR at M and N respectively, then prove that : PM =1/2 (PQ + QR + PR). Â (Q27 B – 30/1/3 – CBSE 2026 Question Paper) Ans:Â From the diagram, we have
Q) Find the ratio in which the x-axis divides the line segment joining the points(− 6, 5) and (− 4, − 1). Also, find the point of intersection. (Q31 – 30/1/3 – CBSE 2026 Question Paper) Ans: Let’s consider the points are given as: P (- 6, 5) and Q (- 4, – 1) (i)