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Area of Bounded Regions · Question 61 of 115

What is the whole area bounded by y^2 = 4x and its latus rectum?

Question 61

EasyOriginal question

The parabola y2=4xy^{2} = 4x has its focus at (1,0)(1, 0), and its latus rectum is the chord x=1x = 1.

What is the whole area bounded by y2=4xy^{2} = 4x and its latus rectum?

Options for question 61

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Double the half above the axis: 2×432 \times \frac{4}{3}.

  2. 83\frac{8}{3} square units, which is 83a2\frac{8}{3}a^{2} with a=1a = 1.

Worth noting

4 is the rectangle with sides 1 and 4 around the region.

Concept
Area of a region bounded by a parabola
Typical time
90 s
Your time
—
The rule this testsParabolas
Practise this chapter →

Ten questions from Area of Bounded Regions, at your own pace.

Practise this chapter →

Ten questions from Area of Bounded Regions, at your own pace.