JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
A tangent is drawn to the parabola \(y^{2}=6 x\) which is perpendicular to the line \(2 x + y =1\) Which of the following points does \(NOT\) lie on it ?
- A \((-6,0)\)
- B \((4,5)\)
- C \((5,4)\)
- D \((0,3)\)
Answer & Solution
Correct Answer
(C) \((5,4)\)
Step-by-step Solution
Detailed explanation
Slope of tangent \(= m _{ T }= m\) So, \(m(-2)=-1 \Rightarrow m=\frac{1}{2}\) Equation : \(y = mx +\frac{ a }{ m }\) \(\Rightarrow y=\frac{1}{2} x+\frac{3}{2 \times \frac{1}{2}}\left(a=\frac{6}{4}=\frac{3}{2}\right)\) \(\Rightarrow y=\frac{x}{2}+3\) \(\Rightarrow 2 y=x+6\) Point…
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