Help
Contact
For teachers and institutes
Search courses, problems, tests…
A
A
>_
StemPy Lab
Courses ▾
Problems ▾
Practice ▾
Mock Tests
Classes
Community ▾
A
A
Two tangents are drawn from the point (0, -3) to the… | StemPy Lab
Quizzes
/
Two tangents are drawn from the point (0, -3) to the parabola y = x² + 1. What are the x-coordinates of the points where they touch the parabola?
Mathematics
Hard
High School (11–12)
Functions and Calculus › Application of Derivatives
A-Level
AEEE (Amrita)
AMUEEE
AP
AP EAPCET
BCECE
COMEDK UGET
GUJCET
IB
JCECE
JKCET
KCET
KEAM
KIITEE
LPUNEST
MET (Manipal)
MHT-CET
OJEE
SRMJEEE
TS EAPCET
UPESEAT
VITEEE
Created by
StemPy Lab
Two tangents are drawn from the point
(
0
,
−
3
)
(0, -3)
(
0
,
−
3
)
to the parabola
y
=
x
2
+
1
y = x^2 + 1
y
=
x
2
+
1
. What are the
x
x
x
-coordinates of the points where they touch the parabola?
x
=
±
4
x = \pm 4
x
=
±
4
x
=
±
1
x = \pm 1
x
=
±
1
x
=
±
3
x = \pm 3
x
=
±
3
x
=
±
2
x = \pm 2
x
=
±
2
Check Answer
Log in to save
Tag someone
⚑ Report
← All Quizzes
← The edge of a cube is measured with an error of 1.4%. What is the percentage error in the total surface area calculated from it?
At which value of x does the function f(x) = x² - 6x + 5 have its only critical point? →
More on
Functions and Calculus › Application of Derivatives
Discussion (0)
Log in
to join the discussion.
Loading…
Problems on this topic
A walking path in a nature reserve follows the curve y = x² on a map, with x and y in kilometres…
Hard
A farmer in Devon wants a rectangular pen of area 800 m² against the straight wall of a barn…
Medium
A food company in São Paulo packs one litre of olive oil, which is 1000 cm³, in closed cylindrical…
Hard
A tinsmith in Nairobi has a rectangular sheet of metal, 24 cm by 15 cm…
Medium
All problems on this topic →