AP EAMCET · Maths · Parabola
Equation of a tangent line of the parabola \(y^2=8 x\), which passes through the point \((1,3)\) is
- A \(y=2 x+1\)
- B \(2 y=x+5\)
- C \(y=-2 x+5\)
- D \(2 y=3 x+3\)
Answer & Solution
Correct Answer
(A) \(y=2 x+1\)
Step-by-step Solution
Detailed explanation
Equation of tangent to parabola \(y^2=8 x\) is \(y=m x+\frac{2}{m}\) It passes through \((1,3)\) \(\Rightarrow 3=m+\frac{2}{m} \Rightarrow m=1,2\) \(\therefore\) Tangents are \(y=x+2\) and \(y=2 x+1\)
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