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Byju's Answer
Standard XII
Mathematics
Distance Formula
Two adjacent ...
Question
Two adjacent sides of a rectangle are
3
x
2
−
5
y
2
and
7
x
2
−
x
y
. Find its perimeter?
A
10
x
²
−
10
y
²
−
2
x
y
.
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B
20
x
²
−
10
y
²
−
2
x
y
.
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C
x
²
−
10
y
²
−
2
x
y
.
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D
40
x
²
−
10
y
²
−
2
x
y
.
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Solution
The correct option is
A
20
x
²
−
10
y
²
−
2
x
y
.
Adjacent sides in rectangle are lenght and base
Perimeter of rectangle =
2
(
l
e
n
g
t
h
+
b
r
e
a
d
t
h
)
Perimeter =
2
(
3
x
²
−
5
y
²
+
7
x
²
−
x
y
)
Perimeter =
2
(
10
x
²
−
5
y
²
−
x
y
)
Perimeter =
20
x
²
−
10
y
²
−
2
x
y
.
Suggest Corrections
6
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The equation of an ellipse with focus at
(
1
,
–
1
)
,
directrix
x
−
y
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=
0
and eccentricity
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Q.
The equation of the ellipse with focus (-1,1), directrix x-y+3=0 and eccentricity 1/2 is
Q.
The equation of the ellipse with focus (−1, 1), directrix x − y + 3 = 0 and eccentricity 1/2 is
(a) 7x
2
+ 2xy + 7y
2
+ 10x + 10y + 7 = 0
(b) 7x
2
+ 2xy + 7y
2
+ 10x − 10y + 7 = 0
(c) 7x
2
+ 2xy + 7y
2
+ 10x − 10y − 7 = 0
(d) none of these