JEE Advanced | 2013Quadratic EquationHard
Question
The number of points in (- ∞,∞), for which x2 - xsinx - cosx = 0, is
Options
A.6
B.4
C.2
D.0
Solution
f(x) = x2 - xsinx - cosx
f′(x) = 2x - xcosx - sinx + sinx = x (2 - cosx)
∴ graph of f(x) will be
∴ f(x) is zero for 2 values of x
∴ (c)
Create a free account to view solution
View Solution FreeMore Quadratic Equation Questions
If the roots of the equation 6x2 − 7x + k = 0 are rational then k is equal to -...Difference between the corresponding roots of x2 + ax + b = 0 and x2 + bx + a = 0 is same and a × b, then...Let α, β be the roots of the equation x2 - px + r = 0 and , 2β be the roots of the equation x2 - qx + r =...The HM of the roots of the equation x2 − 8x + 4 = 0 is -...If α, β are roots of the equation 2x2 − 5x + 3 = 0, then α2 β + β2α is equal to -...