Plot the points $A (1, 1)$ and $B (4, 5)$ . Draw a line segment joining these points. Then the coordinates of a point on this line segment between the points $A$ and $B$ is $(m, 3.6)$ . The value of $m$ is

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Solution

$W e p l o t t h e p o i n t s A (1, 1) & B (4, 5) b y t a k i n g t h e f i r s t m e m b e r a s a b s c i s s a e a n d t h e s e c o n d m e m b e r a s o r d i n a t e s . J o i n A B . T h e n w e l o c a t e a n y p o i n t P o n A B i n s u c h a w a y t h a t i t g i v e s d i s t i n c t r e a d i n g s o n t h e g r i d l i n e s H e r e t h e p o i n t P h a s a b s c i s s a a s 3 u n i t s a n d t h e o r d i n a t e a s 3.6 u n i t s . ∴ T h e c o - o r d i n a t e s o f P i s P (3, 3.6) . A n s - T h e c o - o r d i n a t e s o f P i s P (3, 3.6) .$

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