Why isn't the answer to TMUA-P1-MM3-003 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM3-003 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM3-003?

No — calculators are banned in the TMUA. TMUA-P1-MM3-003 is set for a no-calculator target of about 120 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM3-003?

TMUA-P1-MM3-003 is Paper P1 · Coordinate geometry in the (x,y)-plane (specification code MM3), level 1. Drill more of the same topic from this page.

TMUA-P1-MM3-003 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 1

P1MM3Level 1~120s target

Spec: MM3 · No calculator · ~120s

What is the centre of the circle

(x - 3)^2 + (y + 2)^2 = 25

Options

$(3, 2)$
$(3, -2)$
$(-3, 2)$
$(-3, -2)$
$(5, 5)$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: circle-centre-signs. Name the trap first, work the stem by hand, then open the solution below.

Show solution

The form

(x - a)^2 + (y - b)^2 = r^2

has centre

(a, b) = (3, -2)

Keep practising

Same topic · same level
P1MM3Level 1
TMUA-P1-MM3-002
What is the gradient of the straight line passing through (1, 2) and (5, 10)?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-002 →
Same trap: circle-centre-signs
P1MM3Level 1
TMUA-P1X-MM3-01
What is the centre of the circle (x + 4)^2 + (y - 5)^2 = 36?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1X-MM3-01 →
Step up a level
P1MM3Level 2
TMUA-P1-MM3-001
In an arithmetic sequence the 3rd term is 11 and the 8th term is 31. What is the first term?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-001 →

Browse more

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Keep practising

Same topic · same level

P1MM3Level 1

TMUA-P1-MM3-002

What is the gradient of the straight line passing through (1, 2) and (5, 10)?

Coordinate geometry in the (x,y)-plane

Open TMUA-P1-MM3-002 →

Same trap: circle-centre-signs

P1MM3Level 1

TMUA-P1X-MM3-01

What is the centre of the circle (x + 4)^2 + (y - 5)^2 = 36?

Coordinate geometry in the (x,y)-plane

Open TMUA-P1X-MM3-01 →

Step up a level

P1MM3Level 2

TMUA-P1-MM3-001

In an arithmetic sequence the 3rd term is 11 and the 8th term is 31. What is the first term?

Coordinate geometry in the (x,y)-plane

Open TMUA-P1-MM3-001 →

TMUA-P1-MM3-003 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 1

Options

Keep practising

Master Coordinate geometry in the (x,y)-plane

TMUA-P1-MM3-003 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 1

Options

Keep practising

Master Coordinate geometry in the (x,y)-plane