Application of DerivativeHard
Question
The equation of the normal to the curve y2 = 4ax at point (a, 2a) is-
Options
A.x - y + a = 0
B.x + y - 3a = 0
C.x + 2y + 4a = 0
D.x + y + 4a = 0
Solution
y2 = 4ax at (a, 2a)
2y
= 4a

∴ Slope of normal is - 1
y - 2a = -1 (x - a)
x + y = 3a
2y
∴ Slope of normal is - 1
y - 2a = -1 (x - a)
x + y = 3a
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
The angle of intersection of curves 2y = x3 and y2 = 32 x at the origin is-...If an = 0, then the equation a0xn + a1xn−1 + ...+ an−1x + an = 0 has, in the interval (0, 1),...The tangent to the curve 3xy2 - 2x2y = 1 at (1,1) meets the curve again at the point -...The coordinates of the points on the curve x = a (θ + sinθ), y = a (1 - cosθ), where tan gent is inclined...If at any point (x1, y1) on the curve the subtangent and subnormal are equal, then the length of tangent is equal to-...