8/13/2019 4ulangkaji T4 Geometry Coordinate
1/2
TUISYEN KITA | cgnashPENCETUS BIJAK MATEMATIK
Ulangkaji Mat Tam T4 Quadratic Equation & Quadratic
Function
demo suka matematik, kawe suka matematik, kita suka
matematik
PAPER 1COORDINATE GEOMETRY
1 Given the points 7,4and3,2,,3 CBA .Find all the possible
values of when the area of
triangleABCis 8 2
unit .
2 Given the points 4,2 A and 8,4B . PointPdivides the segmentAB
internally in the ratio of
2 : 3. Find
(a) the coordinates of pointP,
(b) the equation of the straight line that is
perpendicular toAB and passes through pointP.
[ 22)b(5
4,
5
2)a(
xy ]
3 Given thatP(8, 0) and 6,0 Q . Theperpendicular bisector
ofPQmeets the axes at points
AandB. Find(a) the equation ofAB,
(b) the area of AOB , where Ois the origin.
[24
12)(743)( bxya ]
4 The equations of two straight lines are
2435and135
xyxy
. Determine whether the
lines are perpendicular to each other
5 Two straight lines with equations 12
b
yx
and 1232 xy are perpendicular to each other.
Determine the value of b.
6 The equation of the straight linesPQ andRS
are 143 yx and 16
b
yxrespectively. IfPQ and
RSare perpendicular, find the value of b
7 Given the points 5,3and3,2 QP . Point 1,1A lies onPQsuch
thatPA:AQ= k: 1.
Calculate the value of k.
8 A pointPmoves such that its distances from
the points 3,2 A and 5,4B are always equal.Find the equation of
the locus of pointP.
9 A pointPmoves such that its distance from a
fixed point 5,2 is always 5 units. Find theequation of the locus
of P.
[ ]
10 The pointAis 3,1 and the pointBis 6,4The pointPmoves such
that 3:2: PBPA . Find theequation of the locus ofP.
[ 011865055 22 yxyx ]
11 Given the points 4,3A and 11,2B . Findthe equation of the
locus of pointPwhich moves such
that its distance from pointAis twice its distance from
pointB.
12 A point yxP , moves such that its distancefrom point 6,4 A is
always half the verticaldistance of pointA from they-axis.Findthe
equation
of the locus of pointP.[ ]
13 The pointPmoves along the circumference ofa circle with
centre 3,2 A and diameter 4 units.Find the equation of the locus of
the pointP.
14 A pointPmoves such that its distance from
two fixed points, 2,3A and 4,1 B , are in theratio of PA :PB = 4
: 3. Find the equation of the
locus ofP.
15 Given the points yCBA ,5and1,1,0,2
form a triangle with o90ABC . Find the value of
y.
16 Point 3,2A and point 5,4B are on aCartesian plane.
PointPmoves such that
o90APB . Find the equation of the locus of P
17 The points kPBA ,2and3,4,8,1 are on astraight line.P
internally dividesAB in the ratio of
m : n. Find
(a) m : n,
(b) the value of k.
18 The pointsP(1,- 2), Q , R(5,4) and S are the
vertices of a rhombus. Find the equation of the
diagonal QS.
19 Given the points 6,3P and 8,9Q . Find
the equation of a straight line with gradient3
2 that
passes through the midpoint ofPQ.
8/13/2019 4ulangkaji T4 Geometry Coordinate
2/2
TUISYEN KITA | cgnashPENCETUS BIJAK MATEMATIK
Ulangkaji Mat Tam T4 Quadratic Equation & Quadratic
Function
demo suka matematik, kawe suka matematik, kita suka
matematik
x
y
O
C
x
y
D
B
O
PAPER 2
1 Diagram 2 shows a rhombusABCD.
Find
(a) the value of hand of k, [2 marks]
(b) the area of ABCD, [2 marks](c) the equation of the straight
line that passes
through the midpoint of ACand is parallel to
BC, [2 marks]
(d) the equation of the locus of pointPwhich
moves such that 2AP=PD. [3 marks]
2 Solutions to this question by scale drawings
will not be accepted.
(a) Find
(i) the equation of the straight lineAB,
(ii) the coordinates ofB. [4 marks]
(b) Given that 2AD= 3DB, find the coordinates of D.
[2 marks]
(c) A point P moves such that its distance from
point A is always 4 units. Find the equation of the
locus ofP. [2 marks]
3 In Diagram 5, the straight line 168
yx
intersects they-axis at Sand thex-axis atR.
PQRSis a kite andPRintersects QSat Tsuch that
QT: TS= 1 : 2.
(a) Show that the coordinates ofPis (0, 4).
[2 marks]
(b) Find the coordinates of Tand of Q.[4 marks]
(c) Find the equation of the diagonal SQ.
[2 marks]
(d) Calculate the area of the kite.
[2 marks]
4 Solutions to this question by scale drawings
will not be accepted.
In Diagram 1, ACE and BCD are straight lines. The
length ofAB = 10 units, Cis the midpoint of BD
andAC : CE = 3 : 2.
Find
(a) the coordinates of C, [1 mark]
(b) the coordinates ofA, [2 marks]
(c) the equation of straight lineBE. [3 marks]
x
y
P
Q
R
O
S
x
y
O
A
EC
D
