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Question

The area of the right angled triangle AOB is 16 sq. units. If 0 is the origin and the co-ordinates of A are (8, 0), what are the co-ordinates of B ?

A
(0,4)
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B
(0,2)
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C
(1,1)
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D
(0,12)
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Solution

The correct option is A (0,4)
Since, AOB is the right angled triangle and A is on the axis of x as its co-ordinates are (8, 0).
Hence, B should be on the axis of y.
Let its co-ordinates be (0, y).
16=1/2×8×yy=4∴16=12×8×y⟹y=4
Hence. the co-ordinates of B are (0, 4)

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