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Q) In the give figure, AB ǁ DE and AC ǁ DF. Show that Δ ABC ~ Δ DEF. If BC = 10cm, EB = CF = 5 cm and AB =7 cm, then find the length DE. (Q 21 – 30/5/2 – CBSE 2026 Question Paper) Ans: (i) Prove that Δ ABC ~ Δ […]
Q) For acute angles A and B, if sec (2 A – B) = √2 and cosec (A + B) = 2 then find the values of A and B. (Q 22 A – 30/5/2 – CBSE 2026 Question Paper) Ans: Step 1: Given that sec (2 A – B) = √2 ∵ we know
Q) Evaluate: . (Q 22 B – 30/5/2 – CBSE 2026 Question Paper) Ans: We know that cos 30 0 = cot 60 0 = and tan 30 0 = Given expression is: By substituting these values, we get: = = = = = = Therefore, the value of the given expression is . Please press “Heart”
Q) Prove that 4 – 2 √5 is an irrational number given that √5 is irrational. (Q 23 – 30/5/2 – CBSE 2026 Question Paper) Ans: Let’s start by considering (4 – 2 √5) is a rational number (by the method of contradiction) Step 1: ∵ (4 – 2 √5) is a rational number ∴
23. Prove that 4 – 2 √5 is an irrational number given that √5 is irrational. Read More »
Q) A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is then find the number of yellow balls. (Q 24 – 30/5/2 – CBSE 2026 Question Paper) Ans: Step 1: Since, the bag has total 25 balls,
Q) Vertices of a right triangle ABC with ∠ B = 90 are A (3, 4), B (1, 1) and C (- 8,7) Find the value of tan A. (Q 25 A – 30/5/2 – CBSE 2026 Question Paper) Ans: [Approach: to find value of tan A, we need to find length of CB and
Q) Using distance formula, prove that the points A (2, 3), B (- 7, 0) and C (- 1,2) are collinear. (Q 25 B – 30/5/2 – CBSE 2026 Question Paper) Ans: [Approach: To prove that three points are collinear using the distance formula, we must show that the distance between first two points plus
Q) A circle centered at (2, 1) passes through the points A (5, 6) and B (- 3, k) Find the value of k. Hence find length of chord. (Q 26 A – 30/5/2 – CBSE 2026 Question Paper) Ans: (i) Value of k: Let (2, 1) be the center O. If points A and
Q) Prove that the point P dividing the line segment joining the points A (- 1, 7) and B (4, – 3) in the ratio 3: 2, lies on the line x – 3y = – 1. (Q 26 B – 30/5/2 – CBSE 2026 Question Paper) Ans: (i) Verifying if P lies on line
Q) The dimensions of a window are 156 cm x 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed. (Q 27 – 30/5/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s understand