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  • The diameter of the largest circle inscribed in the parabola <img alt="\mathrm{y}^{2}=4 \mathrm{ax}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7By%7D%5E%7B2%7D%3D4%20%5Cmathrm%

The diameter of the largest circle inscribed in the parabola \mathrm{y}^{2}=4 \mathrm{ax} and passing through its focus is

Option: 1

\mathrm{a}


Option: 2

2 \mathrm{a}


Option: 3

4 \mathrm{a}


Option: 4

8 \mathrm{a}


Answers (1)

best_answer

Equation of cirlce \mathrm{(x-(r+a))^{2}+y^{2}=r^{2}}

Solving with a parabola \mathrm{y^{2}=4 a x}
\mathrm{x^{2}+2(a-r) x+a(a+2 r)=0}

Discriminant \mathrm{=0} gives \mathrm{r=4 a}.

Posted by

jitender.kumar

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