past year geometry coordinates

1

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

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