Q21 of 25 Page 8

If the area bounded by the parabola y2 = 16ax and the line y = 4kx is sq unit, then using integration find the value of k.


Given; The area bounded by the parabola y2 = 16ax and the line y = 4kx is sq unit


By solving the equations;


16k2x2 = 16ax



Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .


∴ Require Area






∴ k3 = 8


∴ k = 3


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