You're viewing 3 free preview questions for Maths AA HL — subscribe to unlock 259 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Coordinate Geometry · Paper 1 — Free Maths AA HL Practice Questions

1FoundationSAQ-SEquation of a straight lines5 marksPaper 1~8 min

A straight line

L_1

passes through the points

A(2, 5)

and

B(6, 13)

(a)

Find the gradient of

L_1

. [2 marks]

(b)

The perpendicular bisector of

AB

is the line

L_2

. Find the equation of

L_2

in the form

y = mx + c

. [3 marks]

Solutions

2MasterySAQ-SEquation of a straight lines8 marksPaper 1~12 min

A line

L

has equation $2x + 3y = 12$.

(a)

Find the gradient of

L

and hence write down the gradient of any line perpendicular to

L

. [2 marks]

(b)

The line

L

intersects the

y

-axis at point

B

and the

x

-axis at point

A

. Calculate the area of triangle

OAB

, where

O

is the origin. [3 marks]

(c)

Find the perpendicular distance from

O

L

and verify that is consistent with the area found in part (b). [3 marks]

Solutions

3ChallengeSAQ-LEquation of a straight lines8 marksPaper 1~12 min

A line

L_1

passes through point

A(2,\,5)

and has slope

m_1 = -3

(a)

Determine the equation of

L_1

in the form

ax + by + c = 0

, where

a, b, c \in \mathbb{Z}

. Another line

L_2

is perpendicular to

L_1

and passes through point

B(1,\,-1)

. [2 marks]

(b)

Determine the equation of

L_2

in the form

y = mx + c

. The lines

L_1

and

L_2

intersect at point

C

. [2 marks]

(c)

Determine the coordinates of

C

, giving your answer in exact form. [2 marks]

(d)

Determine the ratio

AC : BC

, giving your answer in its simplest integer form. [2 marks]

Solutions

Questions 4-262

Unlock these questions with Premium

That's every free question here — 3 of 262.

+259 more questions, plus Mock Papers & Worksheets, are waiting in Premium.

Upgrade