Last updated on Sep 22, 2026

Bisection of Chords (Edexcel A-Level Mathematics): Quizzes

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Bisection of Chords

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What is a chord of a circle?

A line segment with both endpoints on circle

What is the midpoint of chord $AB$ with $A(4, 3)$ and $B(-4, -3)$ ?

$(0, 0)$

Where does the perpendicular bisector of any chord pass through?

The centre of the circle

If chord $AB$ has slope $\frac{3}{4}$ , what is the slope of its perpendicular bisector?

$-\frac{4}{3}$

For chord $AB$ in circle $x^2 + y^2 = 25$ , with $A(4, 3)$ and $B(-4, -3)$ , what is slope of $AB$ ?

$\frac{3}{4}$

What is the relationship between the circle centre and chord endpoints?

Centre is equidistant from both endpoints

For chord with endpoints $A(6, 0)$ and $B(0, 6)$ , what is the midpoint $M$ ?

$(3, 3)$

For chord $AB$ with $A(6, 0)$ and $B(0, 6)$ , what is the slope of $AB$ ?

$-1$

If chord slope is $-1$ , what is the perpendicular bisector's slope?

$1$

What is the equation of perpendicular bisector through $(3, 3)$ with slope $1$ ?

$y = x$

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