The tangent to the parabola y^ 2 =4 x at the point where it intersects the circle x^ 2…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

The tangent to the parabola \(y^{2}=4 x\) at the point where it intersects the circle \(x^{2}+y^{2}=5\) in the first quadrant, passes through the point.
  1. \(\left(-\frac{1}{3}, \frac{4}{3}\right)\)
  2. \(\left(\frac{3}{4}, \frac{7}{4}\right)\)
  3. \(\left(\frac{1}{4}, \frac{3}{4}\right)\)
  4. \(\left(-\frac{1}{4}, \frac{1}{2}\right)\)

Answer

(C) ( 1 4 , 3 4 )

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