1 . The straight line L
1 passes through the points A ( 30 , 0 ) and B ( 0 , 40 ).
( a ) Find the gradient of L
1
. [ 2 ]
( b ) Find the equation of L
1
, giving the answer in the form Ax � By �C
� 0 . [ 2 ]
Another straight line L
2 passes through the origin O and is perpendicular to
L
1
.
( c ) Find the equation of L
2
, giving the answer in the form y �mx � c .
L
1 and L
2 intersects at the point C .
( d ) Find the coordinates of C .
( e ) Find the area of the triangle OBC .
( f ) Find the perimeter of the triangle OBC .
The point D is on L
2 such that k is the x -coordinate of D , where k � 0 .
[ 2 ]
[ 3 ]
[ 2 ]
[ 4 ]
( g ) Write down the y -coordinate of D , giving the answer in terms of k .
It is given that the area of the triangle BCD is 624 .
( h ) Find k .
[ 1 ]
[ 4 ]
© SE Production Limited 2 All Rights Reserved 2021