What is the area of the parabola y2 = 4bx bounded by its latus rectum?
What is the area of the parabola y2 = 4bx bounded by its latus rectum? Correct Answer 8b<sup style="">2</sup> / 3 square unit
Concept:
y2 = 4ax is the standard form of parabola 4a = length of latus rectum.
Calculation:
Here, y2 = 4bx
Comparing standard equation of parabola,
4bx = 4ax
∴ a = b,
_{0}^{b} \\ =4 \rm\sqrt{b} \times \frac{2}{3} b^{3 / 2} \\ =\frac{8}{3} \rm b^{2} \end{array}\)
Hence, option (4) is correct.
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Feb 20, 2025