State whether the following statement is true or false. Enter $1$ for true and $0$ for false.
Point P ( 4, 2) lies on the line segment joining the points A ( 4, 6) and B ( 4,- 6).

Open in App

Solution

$T h e p o i n t s, w h o s e a b s c i s s a e a r e s a m e, w i l l l i e o n$
$t h e s a m e l i n e . i . e t h e y a r e c o l i n e a r .$

$I f t h e a b s c i s s a i s a t h e n t h e p o i n t s w i l l l i e o n t h e$
$l i n e x = a .$

$H e r e t h e p o i n t s a r e P (4, 2), A (4, 6), B (4, - 6) .$

$T h e r e a b s c i s s a a r e s a m e w h i c h i s a = 4.$

$∴ P, A, B l i e o n t h e l i n e x = 4.$
$T h e o r d i n a t e o f P i s 2 w h i c h l i e w i t h i n$

$t h e o r d i n a t e s 6 & - 6.$

$S o P l i e s o n t h e l i n e s e g m e n t A B .$

$∴ T h e g i v e n s t a t e m e n t i s t r u e .$

$A n s - T R U E .$

Suggest Corrections

Similar questions

1

0

P (- 4, 2)

A (- 4, 6)

B (- 4, - 6)

1

0

State whether the given statement is true or false.
The points (0,1), (2,7), (-2,-7) and (-1,-4) fall on the line y = 3x + 1.

Join BYJU'S Learning Program