past year geometry coordinates

1 .A point S moves such that its distance from two fixed points E(-1, 0) and F(2, ) in the ratio 2SE ! SF Find the e"uation of the #ocus of S 2 A point $ moves such that its distance from A is a#wa%s 2 1 the distance of A from the strai&ht #ine BC . Find the e"uation of the #ocus of P '. he point A is (-1, ') and the point B is ( , ). he point P moves such that PA *PB ! 2 * '. Find the e"uation of the #ocus of P A point P moves such that its distance from point A is a#wa%s + units. Find the e"uation of the #ocus of P SPM 2006(Paper 1) 1. ia&ram + shows the strai&ht #ine AB which is perpendicu#ar to the strai&ht #ine CB at the point B he e"uation of the strai&ht #ine CB is 1 2 − = x y . Find the coordinates of B ' mar s/ SPM 2008(paper 1) 1. ia&ram shows a strai&ht #ine passin& throu&h S (',0) and T (0, ) (a) rite down the e"uation of the strai&ht #ine ST in the form 1 = + b y a x () A point $( x ,y ) moves such that PS ! PT . Find the e"uation of the #ocus of P m/ 2. he points (0,'), (2, t ) and (-2,-1) are the vertices of a trian&#e. iven that the area of the trian&#e is unit 2 , find the va#ues of t . ' m/ SPM 2007 Section A (paper 2) 1. so#utions % sca#e drawin& wi## not e accepted 3n dia&ram 1, the strai&ht #ine AB has an e"uation 0 4 2 = + + x y . AB intersects the x-axis at point A and intersects the %-axis at point B $oint P #ies on A5 such that AP *PB ! 1*' . Find (a)the coordinates of P ' m/ ( )the e"uations of the strai&ht #ine that passes throu&h P and perpendicu#ar to AB ' m/ 0 4 2 = + + x y CHAPTER 6: COORDIATE !EOMETR"

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1 .A point S moves such that its distance

from two fixed points E(-1, 0) and

F(2, 6) in the ratio 2SE = SF

Find the equation of the locus of S

2 A point P moves such that its distance

from A is always the distance of A from the straight line BC. Find

the equation of the locus of P3. The point A is (-1, 3) and the point B is (4, 6). The point P moves such that

PA : PB = 2 : 3.

Find the equation of the locus of P4 A point P moves such that its distance from point A is always 5 units.

Find the equation of the locus of P SPM 2006(Paper 1)

1. Diagram 5 shows the straight line AB

which is perpendicular to the straight line CB at the point B

The equation of the straight line CB is . Find the coordinates of B

[3 marks]

SPM 2008(paper 1)

1. Diagram shows a straight line passing through S(3,0) and T(0,4)

(a) Write down the equation of the straight line ST in the form

(b) A point P(x,y) moves such that

PS = PT. Find the equation of the locus of P

[4 m]2. The points (0,3), (2,t) and (-2,-1) are the vertices of a triangle. Given that the area of the triangle is 4 unit2, find the values of t. [3 m]

SPM 2007 Section A (paper 2) 1. solutions by scale drawing will not be accepted

In diagram 1, the straight line AB has

an equation .

AB intersects the x-axis at point A and intersects the y-axis at point B

Point P lies on AB such that

AP:PB = 1:3 . Find

(a)the coordinates of P [3 m]

(b)the equations of the straight

line that passes through P and

perpendicular to AB [3 m]

EMBED Equation.3

CHAPTER 6: COORDINATE GEOMETRY