The area of the right angled △AOB is 16 sec units. If O is the origin and the coordinates of A are (8,0), what are the coordinates 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 Δ and A is on the axis of x as its coordinates are (8, 0) Hence, B should be on the axis of y Let its coordinates be (0, y) ∴16=12×8×y or y = 4 Hence the co-ordinates of B are (0, 4)