A clock in a different planet has 9 hours with each hour containing 45 minutes. How many minutes past 3PM in this clock will the hour and seconds hand be at 30 degrees to each other for the first time?
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A clock in a different planet has 9 hours with each hour containing 45 minutes. How many minutes past 3PM in this clock will the hour and seconds hand be at 30 degrees to each other for the first time?
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Answer:
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Answer:
To get the point of intersection, we have to solve the equation of line Y+x=2and parabola y2=x.
On solving them we find the coordinates of points of intersection as (4,−2) and (1,1). Drawing perpendiculars from these points on y-axis, we obtain the coordinate as (0,1) and (0,−2).
Thus, required area =∫−21(2−y−y2)dy=[2y−2y2−3y3]1−−2
=(2−21−31)−(4−−24+83)
=2−65+6−38=8−621=627
=29sq.units.
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