we know that
the equation
describe a vertical parabola with vertex at point
if -------> the parabola open Up and the vertex is a minimum
if -------> the parabola open Down and the vertex is a maximum
in this problem we have
---> because is positive (given problem)
so
The vertex is a minimum
therefore
<u>the answer is the option C</u>
Up
The radius of the circle is 3 cm.
<u>Step-by-step explanation:</u>
Refer the attached diagram, the circle with centre O. In that given, AB is tangent given as 4 cm and distance of point from the circle, OA = 5 cm
As AB is tangent, OB (radius of circle) is perpendicular to AB (tangent at any point of circle). Therefore the angle of OBA is 90 degree.
Also, triangle OAB is a right angled triangle (refer attached diagram). By using Pythagoras theorem in right angled triangle,
Substitute the given values in the above expression, we get
Taking square root on both side, we get
Radius of the circle, OB = 3 cm
