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 .
⇒ 2aCreate a free account to view solution
View Solution FreeMore Application of Derivative Questions
A tangent to the curve y = x2 + 3x passes through a point (0,− 9) if it is drawn at the point-...The coordinates of any point P on a curve are represented by x = t2, y = t3, where t is a parameter, then equation of ta...The surface area of a cube is increasing at the rate of 2 cm2/sec. When its edge is 90 cm, the volume is increasing at t...If g(x) is a curve which is obtained by the reflection of f(x) = by the line y = x then...The slope of the normal to the curve x = a (θ - sinθ), y = a(1 - cosθ) at point θ = π/2 is -...