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If a line with y-intercept 2, is perpend...

If a line with y-intercept 2, is perpendicular to the line 3x -2y =6, then its x-intercept is

A

1

B

2

C

`-4`

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Let the equation of line perpendicular to the line
3x-2y =6 be 3y+2x=c
Since, it passes through (0,2)
c=6
On putting the value of in Eq. (i) , we get
` 3y +2y=6
`Rightarrow x/3 + y/2 =1`
Hence, x-intercept is 3.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
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