First slide

Equation of line in Straight lines

Question

$T h e r a t i o t h a t x - a x i s d i v i d e s t h e l i n e s e g m e n t j o i n i n g t h e p o i n t s (2, - 3) a n d (5, 6) i s (i n t e r n a l l y)$

Moderate

A

$1 : 2$
B

$1 : 1$
C

$2 : 3$
D

$3 : 4$

Solution

$T h e r a t i o t h a t x - a x i s d i v i d e s t h e l i n e s e g m e n t j o i n i n g t h e p o i n t s (x_{1}, y_{1}) a n d (x_{2}, y_{2}) i s - y_{1} : y_{2} i n t e r n a l l y T h e g i v e n p o i n t s a r e (2, - 3) a n d (5, 6) h e n c e t h e r e q u i r e d r a t i o i s - (- 3) : 6 = 1 : 2 t h e r e f o r e, x - a x i s d i v i d e s t h e l i n e s e g m e n t j o i n i n g t h e p o i n t s (2, - 3) a n d (5, 6) i n t h e r a t i o 1 : 2 i n t e r n a l l y$

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