Answer
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\[
{\text{If two of the tangents are the axis then equation of parabola is}} \\
\sqrt {\dfrac{x}{a}} + \sqrt {\dfrac{y}{b} = 1} \\
{\text{If the third tangent is }}\dfrac{x}{f} + \dfrac{y}{g} = 1 \\
{\text{Then, the condition for the tangency is}} \\
\dfrac{f}{a} + \dfrac{g}{b} = 1 \\
{\text{So, the line }}\dfrac{x}{a} + \dfrac{y}{b} = 1{\text{ always passes through }}(f,g) \\
{\text{Note: In this type of question always start with two static straight lines}} \\
{\text{ then introduce third line with condition}}{\text{.}} \\
\]
{\text{If two of the tangents are the axis then equation of parabola is}} \\
\sqrt {\dfrac{x}{a}} + \sqrt {\dfrac{y}{b} = 1} \\
{\text{If the third tangent is }}\dfrac{x}{f} + \dfrac{y}{g} = 1 \\
{\text{Then, the condition for the tangency is}} \\
\dfrac{f}{a} + \dfrac{g}{b} = 1 \\
{\text{So, the line }}\dfrac{x}{a} + \dfrac{y}{b} = 1{\text{ always passes through }}(f,g) \\
{\text{Note: In this type of question always start with two static straight lines}} \\
{\text{ then introduce third line with condition}}{\text{.}} \\
\]
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