Apps. and Interpretation for IBDP Maths Ebook 1 | Page 112

Your Practice Set – Applications and Interpretation for IBDP Mathematics
(e) Find the equation of L
3
, giving the answer in general form.
(f) The point E( rr , ) lies on L
3
. Find the value of r .
L
1
and L
3
intersects at the point F .
[3]
[2]
(g)
Find the coordinates of F , giving the answers in exact values.
[3]
3. The straight line L
1
passes through the points A(3 k , 0) and B(0, 2 k ) , where k is a
positive constant.
(a) Find the gradient of L
1
.
(b) Find the equation of L
1
, giving the answer in general form and in terms of k .
The straight line L
1
also passes through the point C( � 30, 40) .
[2]
[3]
(c) Find the value of k .
[2]
Another straight line L
2
passes through the point D(1.5 k, � 2.5) and is perpendicular to
L
1
.
(d) Find the equation of L
2
, giving the answer in general form.
Consider the graph of the quadratic function
through the point B and its vertex is D .
(e) Write down the values of h and k .
(f) Find the value of a .
(g) Find the x -intercepts of the graph of f( x ).
2
f ( x) a( x h)
k
� � � . The graph passes
[3]
[2]
[2]
[3]
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