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Area of Bounded Regions · Question 30 of 115

At which points does the line x = 3 meet the circle x^2 + y^2 = 25?

Question 30

EasyOriginal question

The circle x2+y2=25x^{2} + y^{2} = 25 is cut by the line x=3x = 3 into a smaller and a larger part.

At which points does the line x=3x = 3 meet the circle x2+y2=25x^{2} + y^{2} = 25?

Options for question 30

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 9+y2=259 + y^{2} = 25, so y2=16y^{2} = 16.

  2. y=±4y = \pm 4.

Worth noting

(3,16)(3, 16) stops at y2=16y^{2} = 16.

Concept
Where a line meets a circle
Typical time
90 s
Your time
—
The rule this testsCircles
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.