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Byju's Answer
Standard IX
Mathematics
Expansion of (a ± b ± c)²
Find x if x...
Question
Find x if
x
2
−
18
x
+
65
=
0
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Solution
x
2
−
18
x
+
65
=
0
x
2
−
13
x
−
5
x
+
65
=
0
x
(
x
−
13
)
−
5
(
x
−
13
)
=
0
(
x
−
5
)
(
x
−
13
)
=
0
x
=
5
,
13
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Q.
The equation of the parabola whose focus is (1, −1) and the directrix is x + y + 7 = 0 is
(a) x
2
+ y
2
− 2xy − 18x − 10y = 0
(b) x
2
− 18x − 10y − 45 = 0
(c) x
2
+ y
2
− 18x − 10y − 45 = 0
(d) x
2
+ y
2
− 2xy − 18x − 10y − 45 = 0