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Q) Use graphical method to solve the system of linear equations: y = – 3 and x + 2y = 4. (Q 28 – 30/5/2 – CBSE 2026 Question Paper) Ans: To solve the given linear equations, let’s first plot both lines and find point of intersection. (i) For y = – 3: Since at […]
Q) In an A.P., 15 th term exceeds the 8 th term by 21. If sum of first 10 terms is 55, then form the A.P. (Q 29 A – 30/5/2 – CBSE 2026 Question Paper) Ans: Let’s consider the first term is a and Common difference is d Step 1: By 1 st given condition, “15 th term
Q) The sum of first n terms of an A.P. is 2n 2 + 13n. Find its n th term and hence 10 th term. (Q 29 B – 30/5/2 – CBSE 2026 Question Paper) Ans: Let’s consider the first term is a and Common difference is d (i) n th term: Method 1: Step 1: n th term
Q) A circle of diameter 20 cm is equally divided into five sectors. Find the area and perimeter of one of the sectors. (Q 30 – 30/5/2 – CBSE 2026 Question Paper) Ans: Step 1: Given diameter = 20 cm ∴ radius = = 10 cm Step 2: Since the circle subtends total 360 0 on
Q) Prove that: (1 + cot θ – cosec θ) (1 + tan θ + sec θ) = 2. (Q 31 – 30/5/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start from LHS: LHS = (1 + cot θ – cosec θ) (1 + tan θ + sec θ) = = = Step
31. Prove that: (1 + cot θ – cosec θ) (1 + tan θ + sec θ) = 2 Read More »
Q) By selling an article for Rs. 48, a trader loses as much percent as half of the cost price of the article. Calculate the cost price and loss amount of the article. (Q 32 – 30/5/2 – CBSE 2026 Question Paper) Ans: Let’s consider the cost price of the article is Rs. x ∴
Q) PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA. (Q 33 – 30/5/2 – CBSE 2026 Question Paper) Ans: It is given
Q) D is the mid point of side BC of Δ ABC. CE and BF intersect at O, a point on AD. AD is produced to G such that OD = DG. Prove that:(i) OBGC is a parallelogram.(ii) EF ǁ BC(iii) Δ AEF ~ Δ ABC (Q 34 A – 30/5/2 – CBSE 2026 Question
Q) Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that:(i) AQ = QR(ii) AP = 2PQ(iii) PR = 2AP (Q 34 B – 30/5/2 – CBSE 2026 Question Paper) Ans: (i) Prove that
Q) Find the mean and mode of the following frequency distribution: (Q 35 A – 30/5/2 – CBSE 2026 Question Paper) Ans: (i) Mean value: Let’s rearrange the data: Now, from this improved table, we have: ∑fx = 60500 and ∑f = 110 ∴ Mean = ∴ Mean = = 550 Therefore, the mean value
35 a. Find the mean and mode of the following frequency distribution: Read More »