A tangent is drawn to the parabola 
at the point ‘
’ whose abscissa lies in the interval (1, 4). The maximum possible area of the triangle formed by the tangent at ‘
’ ordinates of the point ‘
’ and the 
–axis is equal to
a)
8
b)
16
c)
24
d)
32
A tangent is drawn to the parabola at the point ‘’ whose abscissa lies in the interval (1, 4). The maximum possible area of the triangle formed by the tangent at ‘’ ordinates of the point ‘’ and the –axis is equal to
a)
8
b)
16
c)
24
d)
32
Question ID - 55850 | SaraNextGen Top Answer
A tangent is drawn to the parabola at the point ‘’ whose abscissa lies in the interval (1, 4). The maximum possible area of the triangle formed by the tangent at ‘’ ordinates of the point ‘’ and the –axis is equal to
a)
8
b)
16
c)
24
d)
32
|
A tangent is drawn to the parabola |
|||||||
|
a) |
8 |
b) |
16 |
c) |
24 |
d) |
32 |
1 Answer
127 votes
Answer Key / Explanation : (b) -
(b)
Tangent at point 
is 
when slope of tangent is tan
Now required area is 
.png)
Now 
, then 
occurs when 
127 votes
Answer Link
127