Question

x - axis is a tangent and y - axis is normal to a parabola whose focus is (2, 3)
The equation of tangent at vertex of parabola is

• A. 2x - 3y - 4 = 0
• B. 2x - 3y+9 = 0
• C. 3x + 2y - 6 = 0
• D. 3x + 2y + 1 = 0

Answer 1

The correct option is A 2x - 3y - 4 = 0

(0, 0) lies on parabola x axis is equally inclined to both the axis, OS where ‘S’ is
focus. Axis passes through (2,3) with slope $=\frac{-3}{2}$ that is its equation is
3x + 27 – 12 = 0 . Foot of the perpendicular of the focus on x axis is(2, 0)
equation of tangent at vertex is perpendicular axis, passing through (2, 0)is 2x–3y–4 = 0