The lines y = - 3 2 x and y=- 2 5 x intersect the curve 3x 2 + 4xy + 5y 2 – 4 = 0 at the…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The lines y = \(-\frac{3}{2} x\) and \(y=-\frac{2}{5} x\) intersect the curve
3x2 + 4xy + 5y2 – 4 = 0 at the points P and Q respectively. The tangents drawn to the curve at P and Q
  1. intersect each other at angle of 45°
  2. are parallel to each other
  3. are perpendicular to each other
  4. none of these

Answer

(C) are perpendicular to each other

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