Show that the line $2x - y + 2 = 0$ is a tangent to the parabola $y^2 = 16x$.

> > [!TLDR] > Write the line as $y=mx+c$ and check the standard tangency condition $c=a/m$ for the parabola $y^2=4ax$. > > The parabola $y^2=16x$ is of the form $y^2=4ax$ with $4a=16 \Rightarrow a=4$. …

Show that the line 2x - y + 2 = 0 is a tangent to

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2x - y + 2 = 0

Telangana TsbieTelangana Board of Intermediate Education 2024Subjective· 2mImportance★★★★★est

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Question of 148

2x - y + 2 = 0

Telangana TsbieTelangana Board of Intermediate Education 2024Subjective· 2mImportance★★★★★est

0% · 0/148 Questions

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

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Q.Show that the line $2x - y + 2 = 0$ is a tangent to the parabola $y^2 = 16x$ .

Q.Show that the line $2x - y + 2 = 0$ is a tangent to the parabola $y^2 = 16x$ .

Q.Show that the line 2x−y+2=02x - y + 2 = 02x−y+2=0 is a tangent to the parabola y2=16xy^2 = 16xy2=16x.

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Q.Show that the line 2x−y+2=02x - y + 2 = 02x−y+2=0 is a tangent to the parabola y2=16xy^2 = 16xy2=16x.

🔒Unlock the full solution

Q.Show that the line $2x - y + 2 = 0$ is a tangent to the parabola $y^2 = 16x$ .

Unlock the full solution

Q.Show that the line $2x - y + 2 = 0$ is a tangent to the parabola $y^2 = 16x$ .

Unlock the full solution