if a^2+9b^2+4c^2+47=2squareroot of 2 of 3a-3squarerootof2b+5sqaurerootof2c
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Solution
Correct option is
D
(
2
1
,
2
−3
)
Given a
2
+9b
2
−4c
2
=6ab
⇒(a−3b)
2
=(2c)
2
⇒(a−3b)=±2c
∴a−3b+2c=0 a−3b=2c
c=
2
3b−a
c=
2
a−3b
family of lines is ax+by+c=0
ax+by+
2
3b−a
=0 ax+by+
2
a−3b
=0
if these two lines are concurrent then
3b−a=0
now, ax+by+
2
3b−a
=0
3bx+by=0 y=3x
∴ The points will be (
2
−1
,
2
3
) and (
2
1
,
2
−3
)
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