JEE Main 2019 Mathematics question
If the normal to the ellipse at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the ellipse at P passes through Q(4, 4) then PQ is equal to:
Answer: (D)
Solution
Tangent slope 1/2 through Q: y = x/2 + 2, touching at P(−1, 3/2); PQ = √(25 + 25/4).