Question
If the line 
is a tangent to the parabola 
then k=
- 1
- 2
- 3
- 4
Hint:
The parabola equation is simplest if the vertex is at the origin and the axis of symmetry is along the x-axis and y-axis.
In parabola a line to be a tangent to parabola, condition is 
The correct answer is: 1
Given Parabola :
Comparing with standard equation of parabola
4ay = 4y
a = 1
Given line :
Comparing with standard equation of line 
m = 1 and c = k
In parabola a line to be a tangent to parabola, condition is
Substituting these values
Thus, If the line is a tangent to the parabola then k= 1
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has outer radius 
and inner radius 
. The work required to take a unit mass from point 
on its axis to infinity is
and 
respectively are tied to the ends of a massless string, which passes over a light and frictionless pulley. The masses are initially at rest and the released. Then acceleration of the centre of mass of the system is
to 
terms, 
, then 
in 
is
