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Q) An SBI health insurance agent found the following data for distribution of ages of 100 policy holders. The health insurance policies are given to persons of age 15 years and onwards, but less than 60 years. Find the modal age and median age of the policy holders. (Q 35 – 30/2/1 – CBSE 2026 […]
March 2026
Q). The area of a right-angled triangle is 600 cm². If the base of the triangle exceeds the altitude by 10 cm, find all the three dimensions of the triangle. (Q 33 B – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let’s consider the Alttitude of the triangle is A By given condition,
Q) Find the area of the sector of a circle of radius 42 cm and of central angle 30 deg. Also, find the area of the corresponding major sector. [Use Ï€ = 22/7] (Q 30 – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let’s make a diagram for our better understanding:  Here,
Q) Prove that the lengths of tangents drawn from an external point to a circle are equal. (Q 29 A – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start with a diagram for our better understanding: Here, we have a circle with center O and radius r. P is an external point.
Q) Prove that: √(1 – sin θ)/(1 + sin θ) = sec θ – tan θ. (Q 24 B – 30/2/1 – CBSE 2026 Question Paper) Ans: Let’s start from LHS: LHS = Step 1: [Note: Since in RHS, we need to get cos θ in denominator, hence, we need to nullify + sign] ∴
24 b. Prove that: √(1 – sin θ)/(1 + sin θ) = sec θ – tan θ. Read More »
Q). A person on a tour has Rs. 4,200 for expenses. If he extends his tour for 3 days, he has to cut down his daily expenses by Rs. 70. Find the original duration of the tour. (Q 33 A – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let the original duration of
Q) If tan θ + 1 / tan θ = 2, find the value of tan^2 θ + 1/ tan^2 θ. (Q 24 A – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Given that, By squaring on both sides we get: ∴ Step 2: ∵ (a + b) 2 = a 2 + b 2 + 2 a b ∴
24 a. If tan θ + 1/tan θ = 2, find the value of tan^2 θ + 1/tan^2 θ Read More »
Q) If α, ẞ are the zeroes of the quadratic polynomial p x  2 + qx + r then find the value of α 3 β + β 3 α. (Q 21 – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let’s compare the given polynomial with standard quadratic polynomial, a x 2 + b x + c here,
Q) In the given figure, XY || QR, (PQ) / (XQ) = 7 / 3 and PR = 6.3 cm. Find the length of YR. (Q 21 B – 30/2/2 – CBSE 2026 Question Paper) Ans: Step 1: Since, by BPT theorm, we know that, if XY || QR, then Step 2: After substituting given
Q) In the given figure, Δ AHK ~ Δ ABC. If AK = 10cm, BC = 3.5cm and HK = 7cm, find the length of AC. (Q 21 A – 30/2/2 – CBSE 2026 Question Paper) Ans: Step 1: Since, it is given that, Δ AHK ~ Δ ABC ∴ Step 2: After substituting given values,