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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 […]
triangles
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) In the given figure, DE ∥ AC and DF ∥ AE. Prove that : BF/FE = BE/EC. (Q 22 – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s compare Δ ABE and Δ DBF Here, ∠ BDF = ∠ BAE (∵ DF ǁ AE) ∠ B = ∠ B (common angle) By
22. In the given figure, DE ∥ AC and DF ∥ AE. Prove that : BF/FE = BE/EC. Read More »
Q) Carom board is a very popular game. The board is a square of side length 65 cm. It has circular pockets in each corner. Ansh strikes a disc, kept at position P with a striker. The disc, hits the boundary of the board at R and goes straight to pocket at corner C. It
38. Carom board is a very popular game. The board is a square of side length 65 cm Read More »
Q) In the given figure, Δ ABE ≅ Δ ACD. Prove that Δ ADE ~ Δ ABC. (Q 22- 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Given that Δ ABE ≅ Δ ACD ∴ By CPCT, AB = AC and AD = AE and CD = BE Step 2: Let’s calculate ratio of
22. In the given figure, Δ ABE ≅ Δ ACD. Prove that Δ ADE ~ Δ ABC. Read More »
Q) In △ABC, 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, △ ABC ∼ △XYZ, 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) In the given figure, CM and RN are respectively the medians of △ABC and △PQR. If △ABC ∼ △PQR, then prove that: (i) Δ AMC ∼ Δ PNR (ii) Δ CMB ∼ Δ RNQ. (Q32 B – 30/1/3 – CBSE 2026 Question Paper) Ans: It is given that: CM is median of Δ ABC RN
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