Apps. and Interpretation for IBDP Maths Ebook 1 | Page 118

Your Practice Set – Applications and Interpretation for IBDP Mathematics
4. The straight line L
1
passes through the origin O and the points A( � 20,10) and B( pq. , )
The mid-point of AB is O .
(a) Find the gradient of L
1
.
(b) Write down the values of p and q .
[2]
(c) Find the equation of L
1
, giving the answer in slope-intercept form.
[2]
Another straight line L
2
passes through the point C and the origin, and is perpendicular
to L
1
.
[2]
(d) Find the equation of L
2
, giving the answer in general form.
It is given that the area of the triangle ABC is 250, and C lies in the first quadrant.
[3]
(e)
Find the length of OC , giving the answer in surd form.
(f) Hence, find the coordinates of C .
[3]
[4]
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