Your list · 0 हिं

Area of Bounded Regions · Question 58 of 115

Where does the latus rectum x = 1 meet the parabola y^2 = 4x?

Question 58

EasyOriginal question

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

Where does the latus rectum $x = 1$ meet the parabola $y^{2} = 4x$ ?

(1, 4)

and

(1, -4)

Correct answerYour answer

(2, 1)

and

(-2, 1)

Correct answerYour answer

(1, 1)

and

(1, -1)

Correct answerYour answer

(1, 2)

and

(1, -2)

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

$y^{2} = 4 \times 1 = 4$ .
$y = \pm 2$ .

Worth noting

$(1, 4)$ stops at $y^{2} = 4$ .

Concept: Where a line meets a parabola
Typical timeTypical: 90 s
Your timeYours: —

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.

Practise this chapter All 115 questions in Area of Bounded Regions Revise the notes for Area of Bounded Regions