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CBSE Class 10 Sample / Model Paper 2020 : Science

3 pages, 14 questions, 3 questions with responses, 3 total responses,

Sumanta Pan
Oxford High School, Howrah

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Math Assignment 05 Similarity Date: 05.10.2020 1. In the following figure, AB, CD and EF are parallel lines. AB=6 cm, CD= y cm, EF=10 cm, AC = 4 cm and CF= x cm. Calculate: x and y. 2. In PQR, L and M are two points on the base QR, such that LPQ = and = . Prove that: i. PQL ~ RPM ii. = PL iii. PQ2 = QR QL. 3. In the given figure, ABC and are right angled at B and M respectively. Given AC = 10 cm, AP = 15 cm and PM = 12 cm. Prove that: i. ~ ii. . 4. PQRS is a parallelogram with PQ = 16 cm and QR = 10cm, L is a point on PR such that RL: LP = 2: 3. QL produced meets RS at M and PS produced at N. Find the lengths of PN and RM. Page 1|3 Math Assignment 05 Similarity Date: 05.10.2020 5. In the figure given below, P is a point on AB such that AP: PB = 4:3 and PQ | | AC. i. Calculate the ratio PQ: AC, giving reasons for your answer. ii. In , = 90 and in , = 90 . Given QS = 6 cm, calculate length of AR. 6. Two trees of height a metre and b metre are p metre apart. Prove that the height of the point of intersection of the lines joining the top of each tree to the foot of the opposite tree is given by . 7. In the right angled , = 90 , and PM is altitude. Given that QR = 8 cm and MQ = 3.5 cm. Calculate the value of PR. 8. ABCD is a parallelogram. P is a point on BC such that BP:PC = 1:2. DP produced meets AB produced at Q. Given the area of = 20 cm2. Calculate: i. Area of . ii. Area of parallelogram ABCD. Page 2|3 Math Assignment 05 Similarity Date: 05.10.2020 9. In the figure given bellow ABC is a triangle. DE | | BC and i. Determine the ratio ii. Prove that ~ . Hence, find . = . . 10. In the figure given bellow ABCD is a rhombus, DPR and CBR are straight lines. Prove that DP = . Page 3|3 Powered by TCPDF (www.tcpdf.org)

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