JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Two tangents are drawn from a point \((- 2, - 1)\) to the curve, \(y^2 = 4x.\) If \(\alpha \) is the angle between them, then \(\left| {\tan \,\alpha } \right|\) is equal to
- A \(\frac {1}{3}\)
- B \(\frac {1}{\sqrt 3}\)
- C \(\sqrt 3\)
- D \(3\)
Answer & Solution
Correct Answer
(D) \(3\)
Step-by-step Solution
Detailed explanation
The locus of the point of intersection of tangents to the parabola \({y^2} = 4ax\) inclined at an angle \(\alpha \) to each other is \({\tan ^2}\alpha {\left( {x + a} \right)^2} = {y^2} - 4ax\) Given equation of Parabola \({y^2} - 4a\left\{ {a = 1} \right\}\) Point of…
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