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Byju's Answer
Standard XII
Mathematics
Distance Formula
The tangent t...
Question
The tangent to the curve
y
=
x
2
−
5
x
+
5
, parallel to the line
2
y
=
4
x
+
1
, also passes through the point
A
⟮
1
4
,
7
2
⟯
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B
⟮
7
2
,
1
4
⟯
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C
⟮
−
1
8
,
7
⟯
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D
⟮
1
8
,
−
7
⟯
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Solution
The correct option is
D
⟮
1
8
,
−
7
⟯
Suggest Corrections
0
Similar questions
Q.
The tangent to the curve
y
=
x
2
−
5
x
+
5
, parallel to the line
2
y
=
4
x
+
1
, also passes through the point :
Q.
At what points on the curve y = x
2
− 4x + 5 is the tangent perpendicular to the line 2y + x = 7?
Q.
If a tangent to the curve
y
=
6
x
−
x
2
is parallel to the line
4
x
−
2
y
−
1
=
0
, then the point of tangency on the curve is:
Q.
Show that the line through the points
(
4
,
7
,
8
)
,
(
2
,
3
,
4
)
is parallel to the line through the points
(
−
1
,
−
2
,
1
)
,
(
1
,
2
,
5
)
.
Q.
If a curve passes through the point
(
1
,
−
2
)
and has slope of the tangent at any point
(
x
,
y
)
on it as
x
2
−
2
y
x
, then the curve also passes through the point :
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