In Fig. ABC is a right angled triangle ZB=90°. D is the midpoint of BC.
Show that AC2 = ADP + 3CD2
33. Find median of the following data:
Height (in cm)
Less than 120
Less than 140 Less than 160 | Less than 180 Less than 200
No. of Students
12
26
34
40
50
34. Find the ratio in which point p(-1, y) lying on the line segment joining points A
(-3,10) and B (6-8) divides it. Find the value of Y.
Section-D
(24)
35. Show that the square of any positive integer is of forms 4 m or 4m+1, where m is any
integer
36. A motor boat can travel 30 km upstream and 28km downstream in 7 hours. It can
travel 21 km upstream and return in 5 hours, Find speed of boat in still water and speed
of stream
37. If a line drawn parallc 10 one side of a triangle to intersect the other two sides in
distinct points , the other two sides are divided in the same ratio. Prove it.
OR
State and prove Pythagoras theorem
tan+sec_1 = seco + tano
38. Prove that can
tano-sec841
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i am here to gain points sorry
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