The points A and B have coordinates (4, 6) and (12, 2) respectively. The straight line l
Question:
The points A and B have coordinates (4, 6) and (12, 2) respectively. The straight line l1 passes through A and B.
a. Find an equation for l1 in the form ax + by + c = 0, where a, b and c are integers. The straight line l2 passes through the origin and has gradient −2/3.
b. Write down an equation for l2. The lines l1 and l2 intersect at the point C.
c. Find the coordinates of C. (2 marks)
d. Show that the lines OA and OC are perpendicular, where O is the origin. (2 marks)
e. Work out the lengths of OA and OC . Write your answers in the form k√13.
f. Hence calculate the area of △OAC.
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Step by Step Answer:
a To find the equation of line l1 passing through points A4 6 and B12 2 we can use the pointslope form First lets find the slope of line l1 m y2 y1 x2 ...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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