1 . The equation of the straight line L
1 is given by 3x� y�10 � 0 . The coordinates of the point P are ( 3,1 ) .
( a ) Show that P lies on L
1
.
( b ) Write down the y -intercept of L
1
.
The coordinates of the point Q are ( 11 , � 3 ) . M is the mid-point of PQ .
[ 1 ]
[ 1 ]
( c ) Find
( i ) the coordinates of M ;
( ii ) the gradient of PQ ;
( iii ) the distance between P and Q .
The straight line L
2 passes through P and Q .
[ 6 ]
( d ) Show that L
1 and L
2 are not perpendicular .
The straight line L
3 passes through P and is perpendicular to L
1
.
[ 2 ]
( e ) Show that the equation of L
3 is x�3y� 0.
L
1 and L
3 intersect with the y -axis at R and S respectively .
[ 4 ]
( f ) Find the area of the triangle PRS . [ 3 ]
© SE Production Limited 2 All Rights Reserved 2021