Let \( f(x)=x^{2}+\lambda x+\mu \cos x, \lambda \) being an integer and \( \mu \) is a real numb... VIDEO
Let \( f(x)=x^{2}+\lambda x+\mu \cos x, \lambda \) being an integer and \( \mu \) is a real number. The number of ordered pairs \( (\lambda, \mu) \) for which the equation \( f(x)=0 \) and \( f(f(x))=0 \) have the same (non empty) set of real roots is :https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2022-10-28 Let \( g(x)=x^{C} e^{C x} \) and \( f(x)=\int_{0}^{x} t e^{2 t}\left(1+3 t^{2}\right)^{1 / 2} d ... 2022-10-28 The value of the definite integral \( \int_{-1}^{1} e^{-x^{4}}\left(2+\ln \left(x+\sqrt{x^{2}+1}... 2022-10-28 If \( f(x) \) is a continuous function for all real values of \( x \) and satisfies \( \int_{n}^... 2022-10-28 Let \( f(x)=1+\int_{0}^{1}\left(x e^{y}+y e^{x}\right) f(y) d y \) where \( x \) and \( y \) are... 2022-10-28 Consider the function \( f(x)=\frac{\ln x}{8}-a x+x^{2} \) and \( a \geq 0 \) is a real constant : 2022-10-28 If \( \int_{0}^{1} e^{-x^{2}} d x=a \), then \( \int_{0}^{1} x^{2} e^{-x^{2}} d x \) is equal to... 2022-10-28 If \( A=\{1,2,3,4\}, B=\{1,2,3,4,5,6\} \) and \( f: A \rightarrow B \) is an injective mapping s... 2022-10-28 A family consists of a grandfather, 5 sons and daughters and 8 grand child. They are to be seate... 2022-10-28 Let \( f(x)=\sin ^{6}\left(\frac{x}{4}\right)+\cos ^{6}\left(\frac{x}{4}\right) \). If \( f^{n}(... 2022-10-28 Let \( f_{n}(x)=(\sin x)^{1 / n}+(\cos x)^{1 / n}, x \in R \), then :
(a) \( f_{2}(x)1 \) for al... 2022-10-28 Let \( f(x)=x^{2}+\lambda x+\mu \cos x, \lambda \) being an integer and \( \mu \) is a real numb... 2022-10-28 Which of the following function is periodic with fundamental period \( \pi \) ?
(a) \( f(x)=\cos... 2022-10-28 Set of values of ' \( a \) ' for which the function \( f: R \rightarrow R \), given by \( f(x)=x... 2022-10-28 A coplanar beam of light emerging from a point source have the equation \( \lambda x-y+2(1+\lamb... 2022-10-28 Range of \( f(x)=\log _{[x]}\left(9-x^{2}\right) \); where [.] denotes G.I.F. is :
(a) \( \{1,2\... 2022-10-28 Let \( f: D \rightarrow R \) be defined as \( : f(x)=\frac{x^{2}+2 x+a}{x^{2}+4 x+3 a} \) where ... 2022-10-28 If \( e^{x}+e^{f(x)}=e \), then for \( f(x) \) :
(a) Domain is \( (-\infty, 1) \) (b) Range is \... 2022-10-28 Which of the following is the graph of the curve \( \sqrt{|y|}=x \) is ? 2022-10-28 A coplanar beam of light emerging from a point source have the equation \( \lambda x-y+2(1+\lamb... 2022-10-28 The maximum integral value of \( x \) in the domain of \( f(x)=\log _{10}\left(\log _{1 / 3}\lef... 2022-10-28 If \( f: R \rightarrow R, f(x)=\frac{x^{2}+a x+1}{x^{2}+x+1} \), then the complete set of values...
0