If \( f(x)=1+\alpha x,(\alpha \neq 0) \) is the inverse of itself then the value of \( \alpha \)... VIDEO
If \( f(x)=1+\alpha x,(\alpha \neq 0) \) is the inverse of itself then the value of \( \alpha \) is:
(A) \( -2 \)
(B) \( -1 \)
(C) 0
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2022-12-13 If tangent to the curve \( x=a^{2}{ }^{2}, y=2 \) at is perpendicular to \( x \)-axis then its p... 2022-12-13 The point on the curve \( y^{2}=x \), the tangent at which makes an angle of \( 45^{\circ} \) wi... 2022-12-13 If \( f^{\prime}(x)=(x-a)^{2 n}(x-b)^{2 m+1} \) where \( m, n \) Î \( N \), then
P
(A) \( \quad ... 2022-12-13 If \( y=\frac{\sqrt{x^{2}-4}}{\cos ^{-1}(2-x)} \), then the domain of \( y \) is:
(A) \( [-2,3] ... 2022-12-13 The two curves \( x^{3}-3 x y^{2}+5=0 \) and \( 3 x^{2} y-y^{3}-7=0 \)
(A) cut at right angles
(... 2022-12-13 Let \( f(x) \) be a function whose domain is \( [-5,7] \). Then the domain of \( f(|2 x+5|) \) i... 2022-12-13 \( \mathrm{NaBiO}_{3}+\mathrm{Mn}\left(\mathrm{NO}_{3}\right)_{2}+\mathrm{HNO}_{3} \longrightarr... 2022-12-13 Domain of \( f(x)=\frac{1}{[x]}+\sqrt{(2-x) x} \) is equal to : (If \( [x] \) denotes the greate... 2022-12-13 The range of 'a' for which \( f(x)=a x+\cos x \) is one-one, is:
(A) \( \quad(-\infty,-1) \cup(1... 2022-12-13 Let \( f: R \rightarrow R \) be defined by \( f(x)=2 x+\sin x \) for \( x \in R \). Then \( f \)... 2022-12-13 If \( f(x)=1+\alpha x,(\alpha \neq 0) \) is the inverse of itself then the value of \( \alpha \)... 2022-12-13 Solution of \( \mathrm{AsO}_{4}^{3-} \) ion containing considerable excess of \( \mathrm{HNO}_{3... 2022-12-13 \( \mathrm{As}^{3+}+\mathrm{H}_{2} \mathrm{~S} \stackrel{\text { dil. } \mathrm{HCl}}{\longright... 2022-12-13 What happens when diammine silver \( (I) \) reacts with hydrazine sulphate? 2022-12-13 \( \mathrm{Na}_{2} \mathrm{CrO}_{4}+ \) dil. \( \mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow \... 2022-12-13 \( \mathrm{CaSO}_{4} \) is insoluble in water but when excess of \( \left(\mathrm{NH}_{4}\right)... 2022-12-13 What happens when \( \mathrm{Mn}(\mathrm{II}) \) ions free from chloride ions react with acidifi... 2022-12-13 Is there any reaction other then cyanide reaction which can be used for the differentiation of \... 2022-12-13 Which basic radical(s) decolourise acidic \( \mathrm{KMnO}_{4} \) solution ? 2022-12-13 Why use of excess cobalt nitrate solution should be avoided in the dry test of aluminium compounds? 2022-12-13 Does mercuric sulphide dissolve in sodium sulphide solution (of \( 2 \mathrm{M} \) ) ?