Trigonometric EquationMedium
Question
The angle of intersection of the curves x2 - 2y3 = - 1 & y - x = 0 is -
Options
A.tan-1

B.tan-1

C.tan-1

D.tan-1

Solution
Solving the curves
x2 - 2x3 = - 1
⇒ 2x3 - x2 - 1 = 0
⇒ (x - 1) (2x2 + x + 1) = 0
∴ x = 1, y = 1
m1 = 1 & m2 =
x2 - 2x3 = - 1
⇒ 2x3 - x2 - 1 = 0
⇒ (x - 1) (2x2 + x + 1) = 0
∴ x = 1, y = 1
m1 = 1 & m2 =

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