Application of DerivativeHard
Question
The maximum distance of the point (k, 0) from the curve 2x2 + y2 - 2x = 0 is equal to
Options
A.
B.
C.
D.
Solution
Let d be distance between (k, 0)
and any point (x, y) on curve.
d =
d =
(∵ y2 = 2x - 2x2).
Maximum d =
Maximum d =
and any point (x, y) on curve.
d =
d =
Maximum d =
Maximum d =
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
For the function f(x) = x cot-1x, x ≥ 0...If tangent of the curve x = t2 − 1, y = t2 − t is perpendicular to x- axis, then-...The coordinates of the point of the parabola y2 = 8x , which is at minimum distance from the circlex2 + (y + 6)2 = 1 are...The real number k for which the equation 2x3 + 3x + k = 0 has two distinct real roots in [0, 1]...If = an3 + bn2 + cn, then find the value of a + b + c....