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 |
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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 |

1 Answer

127 votes

**(b)**

Tangent at point is when slope of tangent is tan

Now required area is

Now , then occurs when

127 votes

127