Application of DerivativeHard
Question
If at any point (x1, y1) on the curve the subtangent and subnormal are equal, then the length of tangent is equal to-
Options
A.y1
B.√2 y1
C.
D.None of these
Solution
Length of subtangent = length of subnormal
y1 ×
= y1 ×
1 =
length tangent =
= y1 × √2 = √2 × y1
y1 ×
= y1 ×1 =
length tangent =
= y1 × √2 = √2 × y1
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
If f(x) is differentiable in the interval [2, 5], where f(2) = and f(5) = , then there exists a number c, 2 < c < ...The normal to the curve √x + √y = √a is perpendicular to x-axis at the point-...At any point a curve is equal to-...At any point of a curve (subtangent) × (subnormal) is equal to the square of the-...If the AM of two positive numbers be three times their geometric mean then the ratio of the numbers is -...