Apps. and Interpretation for IBDP Maths Ebook 2

Solution

( a )	� 3 ( 2 ) � s A � _� _� �12 � 2�		( M1 ) for substitution
	� 6 � s A � _� _� �10� Thus , the required coordinates are ( 6,10 ) .		A1
( b )	^r 0 3 � ^� � ^� � �t ^� � ^� � �12� � �1�		^A2
( c )	( i )	^� 6 6 36 � ^� � �5 ^� � ^� � � ^� � ^� � �10� � �2� � 0 �	( M1 ) for valid approach
Thus , the required coordinates are ( 36 , 0 ) . A1

[ 2 ]

( d )

( e )

( ii )

^� 6 6 54 � ^� � �8 ^� � ^� � � ^� � ^� �

( M1 ) for valid approach

�10� � �2� � �6� Thus , the required coordinates are ( 54 , � 6 ). A1

2 tan� � ( M1 ) for valid approach

� � 18.43494882 Thus , the required angle is 18.4 .

^� 54 5 39 � ^� � �3 ^� � ^� � � ^� � ^� � � �6� �5� � �21�	( M1 ) for valid approach
Thus , the required coordinates are ( 39 , � 21 ) .	A1

( f ) The required distance

2 2

� ( 39 �36 ) � ( �21� 0 )

( A1 ) for substitution

� 21.21320344 � 21.2

[ 4 ]

[ 2 ]

111

Apps. and Interpretation for IBDP Maths Ebook 2 | Page 121