Practicing Success
The angle formed by the abscissa and the tangent to the parabola $y=x^2+4 x-17$ at the point $\frac{5}{2},-\frac{3}{4}$ is |
$\tan ^{-1} 2$ $\tan ^{-1} 5$ $\tan ^{-1} 7$ None of these |
None of these |
Slope of x-axis is 0. $y=x^2+4 x-17 \Rightarrow \frac{d y}{d x}=2 x+4$ ∴ slope of tangent to parabola at $P\left(\frac{5}{2},-\frac{3}{4}\right)$ $=2\left(\frac{5}{2}\right)+4=9$ If $\theta$ is the angle between x-axis and the tangent at P then $\tan \theta=9 \Rightarrow \tan ^{-1} 9$. |