exercise:8271eacd40: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\ex}[1]{\item } \newcommand{\sx}{\item} \newcommand{\x}{\sx} \newcommand{\sxlab}[1]{} \newcommand{\xlab}{\sxlab} \newcommand{\prov}[1] {\quad #1} \newcommand{\provx}[1] {\quad \mbox{#1}} \newcommand{\intext}[1]{\quad \mbox{#1} \quad} \newcommand{\R}{\mathrm{\bf R}} \newcommand{\Q}{\mathrm{\bf Q}} \newcommand{\Z}{\mathrm{\bf Z}} \newcommand{\C}{\mathrm{\bf C}} \newcommand{\dt}{\textbf} \newcommand{\goesto}{\rightarrow}...") |
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\newcommand{\mathds}{\mathbb} | \newcommand{\mathds}{\mathbb} | ||
</math></div> | </math></div> | ||
<ul style{{=}}"list-style-type:lower-alpha" | <ul style{{=}}"list-style-type:lower-alpha"> | ||
<li> | <li>Find the point where the tangent to <math>y^2 = 4ax</math> | ||
Find the point where the tangent to <math>y^2 = 4ax</math> | |||
at the point <math>(x_1,y_1)</math> cuts the <math>x</math>-axis. | at the point <math>(x_1,y_1)</math> cuts the <math>x</math>-axis. | ||
Assume that <math>a \ne 0</math>.</li> | Assume that <math>a \ne 0</math>.</li> | ||
<li>Show that the segment of the tangent line between | <li>Show that the segment of the tangent line between | ||
<math>(x_1,y_1)</math> and the point found in | <math>(x_1,y_1)</math> and the point found in (a) | ||
is bisected by the <math>y</math>-axis.</li> | is bisected by the <math>y</math>-axis.</li> | ||
</ul> | </ul> | ||
Latest revision as of 01:36, 23 November 2024
[math]
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[/math]
- Find the point where the tangent to [math]y^2 = 4ax[/math] at the point [math](x_1,y_1)[/math] cuts the [math]x[/math]-axis. Assume that [math]a \ne 0[/math].
- Show that the segment of the tangent line between [math](x_1,y_1)[/math] and the point found in (a) is bisected by the [math]y[/math]-axis.