Application of DerivativeHard
Question
The length of subnormal at any point to the parabola y2 = 4ax is-
Options
A.1
B.2
C.2a
D.4a
Solution
y2 = 4ax and any point be (x1, y1) slope of tangent at (x1, y1) is

∴ length of subnormal is ⇒ y1.
⇒ y1 .
⇒ 2a
∴ length of subnormal is ⇒ y1.
⇒ y1 .
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
A point is moving along the curve y3 = 27x. The interval in which the abscissa changes at slower rate than ordinate, is ...The equation of normal to the curve y = ex at the point (0, 1) is-...For which values of ′a′ will the function f(x) = x4 + ax3 + + 1 will be concave upward along the entire real...The inclination of the tangent w.r.t. x-axis to the curve x2 + 2y = 8x - 7 at the point x = 5 is...The coordinates of the points on the curve x = a (θ + sinθ), y = a (1 - cosθ), where tan gent is inclined...