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VITEEE 2021 Solved Paper
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© examsnet.com
Question : 65
Total: 80
Angle formed by the positive Y - axis and the tangent to
y
=
x
2
+
4
x
−
17
at
(
5
2
,
−
3
4
)
is
tan
−
1
9
π
2
−
tan
−
1
9
π
2
+
tan
−
1
9
π
2
Validate
Solution:
y
=
x
2
+
4
x
+
4
−
4
−
17
y
=
(
x
+
2
)
2
−
21
⇒
Vertex is
(
−
2
,
−
21
)
Also
y
=
x
2
+
4
x
−
17
⇒
dy
dx
=
2
x
+
4
⇒ Slope of tangent at
(
5
2
,
−
3
4
)
m
=
dy
dx
=
2
×
5
2
+
4
=
9
;
θ
=
tan
−
1
9
∴ angle by
y
- axis
=
π
2
−
tan
−
1
9
=
cot
−
1
9
© examsnet.com
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