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For what value of k do the equations kx-...

For what value of k do the equations `kx-2y = 3` and `3x + y = 5` represent two lines intersecting at a unique point?

A

`k = 3 ` only

B

`k = -3 ` only

C

`k = 6` only

D

all real values except ` - 6`

Text Solution

Verified by Experts

The correct Answer is:
D
For a unique intersecting point, we have ` (a_1)/(a_2) ne (b_1)/(b_2)`
` therefore (k)/(3) ne (-2)/(1) rArr k ne - 6 `. Hence, correct answer is (d).
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