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The y-intercept of the line passing thr...

The y-intercept of the line passing through A(6,1) and perpendicular to the line x-2y=4 is . . .

A

5

B

13

C

`-2`

D

26

Text Solution

Verified by Experts

The correct Answer is:
B
Slope of the given line,
`x-2y=4` is `(1)/(2)`
Equation of a line passing through A(6,1) and perpendicular to given line is
`y-1=(-2)(x-6)`
`impliesy-1=-2x+12`
`implies2x+y=13`
`implies(x)/(((13)/(2)))+(y)/(13)=1` . . . (i)
`therefore`x-intercept of slope (i) is 13.
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