Math, asked by laundiya2953, 10 months ago

Two tangents to the parabola y^2=8x meet the tangent at its vertex in

Answers

Answered by jitendra420156
0

The equation of tangent is x=0

Step-by-step explanation:

Given equation of parabola,

y^2=8ax          [ The vertex of the parabola is(0,0)]

Diff. w. r. to x

2y\frac{dy}{dx} =8

\Rightarrow \frac{dy}{dx} =\frac{8}{2y}

\Rightarrow \frac{dy}{dx} =\frac{4}{y}

\Rightarrow [\frac{dy}{dx}]_{(0,0)} =\frac{4}{0}

The equation of line passes through the origin is

y=mx [ m is slope of the line]

The equation of tangent is

y=\frac{4}{0} x

\Rightarrow x=0

Answered by BrainlyPARCHO
1

  \green{  \fcolorbox{grey}{grey}{ \checkmark \:  \textsf{Verified \: answer}}}

The equation of tangent is x=0

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