Q) A chord of a circle of radius 15 cm subtends an angle of 60° at the centre of the circle. Find the area of the corresponding minor segment. (Ï€ = 3.14, √3 = 1.73). UP Board 2024 (822 HY) Ans: For a detailed answer to this question, please refer to the similar question and […]
February 2026
Q) How many two digits numbers are divisible by 3? Ans: Here, we need to count all two-digit numbers which are divisible by 3. Step 1: Now we know that the smallest two-digit number is 10. ∴ the first two digits number, which is also a multiple of 3, is 12. The largest two-digit number is
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Q) From an external point P, two tangents PA and PB are drawn to the circle with centre O. If ∠PAB=50°, then find ∠AOB Ans: Step 1: Let’s draw a diagram with a circle with O as centre. Let the two tangents PA and PB are drawn from point A on to this circle and
Q) Two dice are tossed simultaneously. Find the probability of getting (i) an even number on both dice. (ii) the sum of two numbers more than 9. Ans: Step 1: Since each die has 6 faces and we are tossing 2 dice, ∴ Total outcomes = (6)2 = 36 Part (i) Step 2: Let’s first calculate
Q) An electric pole is 10 m high. A steel wire tied to top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of 45° with the horizontal through the foot of the pole, find the length of the wire. [Use √2
Q) Find the ratio in which the point (−3, k) divides the join of A (−5, −4) and B (−2, 3). Also, find the value of k. Ans: Let A (- 5,- 4), B (- 2,3), P (- 3, k). Step 1: Using section formula for x coordinate: ∴ m:n = 2: 1 Let’s consider,
Q) Find the 7th term from the end of AP 7, 10, 13, …, 184. Ans: Given AP series is:Â 7, 10, 13, ……. , 184 Step 1: Let’s identify first term and common difference of our given AP: First term: a = 7 Common difference: d = 10 – 7 = 3 Step 2:
Find the 7th term from the end of AP 7, 10, 13, …, 184. Read More »
Q) At present, Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the sum of their present ages. Ans: METHOD 1 (ONE VARIABLE) Let’s consider
Q) Find the middle term of A.P 6,13, 20, ……., 230. [Q 21B – Sample Question Paper – CBSE Board 2026] Ans: Step 1: given progression is: 6,13, 20, ……., 230 Here, we can see that first term, a = 6 and the common difference, d = 13 – 6 = 7 Step 2: Let’s
Find the middle term of A.P 6,13, 20, ……., 230. Read More »
Q) The A.P 8, 10, 12,……. has 60 terms. Find the sum of last 10 terms. [Q 21A – Sample Question Paper – CBSE Board 2026] Ans: Step 1: Let’s start with first term and common difference of the given AP: First term, a = 8 and the common difference, d = 10 – 8 =
The A.P 8, 10, 12,……. has 60 terms. Find the sum of last 10 terms. Read More »