1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Equation of Tangent When a Point Is Given
Consider the ...
Question
Consider the function y=f(x) where
x
2
+
p
x
+
45
=
144
,
then find
t
he value of p.
A
18
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
19
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
f(x) has one point to inflection
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
The area of triangle formed by the tangents drawn to the curve at point(s) of local exterma and at point(s) of inflection is 1.sq. unit
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
18
Suggest Corrections
0
Similar questions
Q.
Find the area of triangle formed by the tangents to the curve
2
y
2
=
x
drawn at the points whose ordinates are 2,3,4 respectively
Q.
Tangents are drawn to the hyperbola
4
x
2
−
y
2
=
36
at the points
P
and
Q
. If these tangents intersect at the point
T
(
0
,
3
)
then the area (in sq. units) of
△
P
T
Q
is :
Q.
Let
P
(
x
0
,
y
0
)
be a point on the curve
C
:
(
x
2
−
11
)
(
y
+
1
)
+
4
=
0
,
where
x
0
,
y
0
∈
N
.
Then the area (in sq. units) of the triangle formed by the normal drawn to the curve
C
at
P
and the co-ordinate axes is
Q.
Tangents
P
A
and
P
B
are drawn to the circle
(
x
−
4
)
2
+
(
y
−
5
)
2
=
4
from the point
P
on the curve
y
=
sin
x
, where
A
and
B
lie on the circle. Consider the function y =
f
(
x
)
represented by the locus of the centre of the circumcircle of triangle
P
A
B
, then
Range of
y
=
f
(
x
)
is
Q.
Assertion :Equation of tangent to the curve
y
=
x
2
+
1
at the point where slope of tangent is equal the function value of the curve is
y
=
2
x
.
Reason:
f
′
(
x
)
=
f
(
x
)
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Line and a Parabola
MATHEMATICS
Watch in App
Explore more
Equation of Tangent When a Point Is Given
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app