Application of DerivativeHard
Question
The curve x2 - y2 = 5 and
= 1 cut each other at any common point at an angle-
Options
A.π/4
B.π/3
C.π/2
D.None of these
Solution
x2 - y2 = 5 and
= 1
Intersecting point
x = ± 3 ; y = ± 2
m1 =
; m2 = - 
tan θ = tan
θ =
Intersecting point
x = ± 3 ; y = ± 2
m1 =
tan θ = tan
θ =
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 < ...If 2a + 3b + 6c = 0, then at least one root of the equation ax2 + bx + c = 0 lies in the interval-...At what point the tangent line to the curve y = cos(x + y), (-2π ≤ x ≤ 2π) is parallel to x + 2y =...The surface area of a sphere when its volume is increasing at the same rate as its radius,is-...If normal to the curve y = f (x) at a point makes 135o angle with x-axis, then at that point dy/dx equals-...