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If a striaght line passes through the po...

If a striaght line passes through the points (`-1/2,1)` and (1,2) then its x-intercept is

A

`-2`

B

`-1`

C

`2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A

`:.` Two points for m of line,
`y-y_(1)=(y_(2)-y_(1))/(x_(2)-x_(1))(x-x_(1))`
`(y-1)(2-1)/(1+(1)/(2))(x+(1)/(2))`
`rArr (y-1)=(2)/(3)(x+(1)/(2))`
`rArr 2x-3y=-4`
`rArr (x)/(-2)+(y)/(((4)/(3)))=1`
So, x intercept is -2
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