Your Practice Set – Applications and Interpretation for IBDP Mathematics
�5� � �4k �
� � � �
2 . Consider the lines L
1
and L
2 defined by L1
: r � 5 �s k
and L2
�3� � 0 � � � � �
� 3 � � k � � � � �
: r � 2 �t 1 ,
�10� � 1�
� � � � k � . It is given that L
1
and L
2 are not perpendicular . Find the range of values of k . [ 4 ]
3 . Consider the lines L
1
and L
2 defined by L1
It is given that L
1
and L
2 intersect at P .
�7� � 4 � �15 � � 6 �
� � � � � � � �
: r � 5 �s 3
and L2
: r � �8 � t �5 .
� 0� � �1�
� � � � �
1 � � 0 � � � � �
( a ) Find the value of s , the parameter value at P .
( b ) Hence , find the coordinates of P .
[ 2 ]
[ 3 ]
4 . Consider the lines L
1
and L
2 defined by L1 k � . It is given that L
1
and L
2 intersect .
� k � � 3 �
� 5� �1�
� � � � : r � �5 � s �4
� � � �
and L2
: r � 3 �t 2 ,
� �4� � �3�
�
� � � � 2� �1�
� � � �
( a ) Find the value of s , the parameter value at the point of intersection .
( b ) Hence , find the value of k .
[ 3 ]
[ 2 ]
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