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Question

If the line (x-y+1) + k (y-2x+4) = 0 makes equal intercept on the axes then the value of k is


A

1/3

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B

3/4

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C

1/2

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D

2/3

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Solution

The correct option is D

2/3


Given line is (x-y+1) + k (y-2x+4) = 0

(1-2k)x+(k-1)y+(1+4k)=0

It is making equal intercepts on co-ordinate axis

\( x- intercept = y- intercept

1+4k2k1=1+4k1k1+4k=0k=14

Or

1-k = 2k-1

k = 23

k = 23 (or) 14


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