If A, B, C are three non- collinear points with position vectors respectively, then show that the length of the perpendicular from C on AB is
Draw a rough sketch of the curve and find the area of the region bounded by curve y2 = 8x and the line x =2.
Given equation is, y2 = 8x
Comparing with y2 = 4ax, we get
4a = 8
i.e. a = 2
Given, y2 = 8x
Also, x = 2 meets y2 = 8x
(2, 4) and (2, - 4) are their point of intersection.
Required area, A =
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= sq. units
Sketch the graph of y = |x + 4|. Using integration, find the area of the region bounded by the curve y = |x + 4| and x = – 6 and x = 0.