Form 4 Mathematics
The figure KLMN below is a scale drawing of a rectangular piece of land of length KL = 80m
(a) On the figure, construct
(i) The locus of a point P which is both equidistant from points L and M It and from lines KL and LM. (ii) the locus of a point Q such that ∠KQL = 90°. (b) (i) Shade the region R bounded by the locus of Q and the Locus of points equidistant from KL and LM. (ii) Find the area of the region R in m². (Take ℼ= 3.142). Form 4 Mathematics(a) BCD is a rectangle in which AB = 7.6 cm and AD = 5.2 cm. draw the rectangle and construct the lucus of a point P within the rectangle such that P is equidistant from CB and CD ( 3 marks) (b) Q is a variable point within the rectangle ABCD drawn in (a) above such that 600 ≤ AQB≤ 900 On the same diagram, construct and show the locus of point Q, by leaving unshaded, the region in which point Q lies Form 4 MathematicsForm 4 MathematicsForm 4 Mathematics
Figure ABCD below is a scale drawing representing a square plot of side 80 metres.
On the drawing, construct:
(i) the locus of a point P, such that it is equidistant from AD and BC. (ii) the locus of a point Q such that <AQB = 60°. (i) Mark on the drawing the point Q , the intersection of the locus of Q and line AD. Determine the length of BQ1 in metres. (ii) Calculate, correct to the nearest m2, the area of the region bounded by the locus of P, the locus of Q and the line BQ1 Form 4 Mathematics
The line PQ below is 8cm long and L is its midpoint
Form 4 Mathematics
A point P moves inside a sector of a circle, centre O, and chord AB such that 2cm < OP ≤ 3cm and angle APB = 65 Draw the locus of P
Form 4 MathematicsForm 4 MathematicsForm 4 MathematicsForm 4 Mathematics
The diagram below represents a field PQR
Form 4 Mathematics
The line segment BC given below is one side of triangle ABC
Use a ruler and a pair of compasses only for all constructions in this question(a) On the line BC given below, construct triangle ABC such that ∠ABC = 30^{0} and BA = 12 cm
On the figure below construct
Use ruler and compasses only in this questionThe diagram below shows three points A, B and D

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