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MHT CET 2018 Math Solved Paper
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© examsnet.com
Question : 8
Total: 50
The line 5x + y - 1 = 0 coincides with one of the lines given by 5
x
2
+ xy- kx - 2y + 2 = 0 then the value of k is
-11
31
11
-31
Validate
Solution:
(c) 5x + y - 1 = 0 coincides
5
x
2
+ xy - kx - 2y + 2 = 0
a = 5,b = 0, h =
1
2
, g =
−
k
2
, f = -1, c = 2
If the above equation represents a pair of straight lines, then
|
a
h
g
h
b
f
g
f
c
|
⇒
|
5
1
2
−
k
2
1
2
0
−
1
−
k
2
−
1
2
|
∴ 5(0 - 1) -
1
2
(
1
−
k
2
)
−
k
2
(
−
1
2
−
0
)
= 0
∴
−
5
−
1
2
+
k
4
+
k
4
= 0 ⇒
k
2
=
11
2
⇒ k = 11
© examsnet.com
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