Assertion (A): A function \( f: \mathrm{R} \rightarrow \mathrm{R} \) be defined
by \( f(x)=x-[x]... VIDEO
Assertion (A): A function \( f: \mathrm{R} \rightarrow \mathrm{R} \) be defined
by \( f(x)=x-[x] \) (where \( [x] \) is greatest integer \( \leq x \) ) for all \( x \in \mathrm{R} . f \) is not invertible.
Reason (R): \( f(x) \) is periodic function.
(A) Both A and R are true and R is the correct explanation of A.br(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
(E) Both A and R are false.
ЁЯУ▓PW App Link - https://bit.ly/YTAI_PWAP
ЁЯМРPW Website - https://www.pw.live
Other Videos By PW Solutions 2022-11-16 How much energy is required to cause an electron of hydrogen to move from \( n=1 \) state to \( ... 2022-11-16 Assertion (A): The de-Broglie wavelength equation has significance for any microscopic and sub m... 2022-11-16 If opposite angles of a quadrilateral are equal, then it is necessarily a ........... 2022-11-16 A \( 10 \mathrm{~cm} \) column of air is trapped by a column of \( \mathrm{Hg}, 8 \mathrm{~cm} \... 2022-11-16 Figure shows a small magnetised needle \( P \) placed at a point \( O \). The arrow shows the di... 2022-11-16 рдЙрд╕ рдкреНрд░рд╕рд┐рджреНрдз рд╡реИрдЬреНрдЮрд╛рдирд┐рдХ рдХрд╛ рдирд╛рдо рдмрддрд╛рдЗрдП рдЬрд┐рд╕рдиреЗ рд▓реИрдорд╛рд░реНрдХрд╡рд╛рдж рдХреЛ рдЕрд╕реНрд╡реАрдХреГрдд рдХрд┐рдпрд╛ред 2022-11-16 The ratio of frequencies of \( U V \) rays and infrared rays in glass is:
(A) More than 1
(B) Le... 2022-11-16 Shell is dextral, if the coiling is :
(A) right handed
(B) left handed
(C) anticlockwise
(D) non... 2022-11-16 \( \triangle A B C \) is an isosceles triangle in which \( A B=A C \). \( D \) and \( E \) are t... 2022-11-16 Switch \( S \) in Fig. 27-46 is closed at time \( t=0 \), to begin charging an initially uncharg... 2022-11-16 Assertion (A): A function \( f: \mathrm{R} \rightarrow \mathrm{R} \) be defined
by \( f(x)=x-[x]... 2022-11-16 If \( f(x)=\sqrt{4-x^{2}}, x \in(-2,2) \), find \( f^{\prime}(x) \) 2022-11-16 The diagonals of a rhombus bisect each other at angles. 2022-11-16 An electric dipole is placed at an angle of \( 30^{\circ} \) to a non-uniform electric field. Th... 2022-11-16 рджреЛрдиреЛрдВ рд╕рд┐рд░реЛрдВ рдкрд░ рдкрд░рд┐рдмрджреНрдз рдХрд┐рд╕реА рддрд╛рдирд┐рдд рдбреЛрд░реА рдкрд░ рдЕрдиреБрдкреНрд░рд╕реНрде рд╡рд┐рд╕реНрдерд╛рдкрди рдХреЛ рдЗрд╕ рдкреНрд░рдХрд╛рд░ рд╡реНрдпрдХреНрдд рдХрд┐рдпрд╛ рдЧрдпрд╛ рд╣реИ \( ... 2022-11-16 In \( \triangle A B C, A D \) is the median and \( D E \| A B \), such that \( E \) is a point o... 2022-11-16 The dissociation of \( \mathrm{CaCO}_{3} \) is suppressed at high pressure. 2022-11-16 Hydrogen will reduce:
(A) heated cupric oxide
(B) heated ferric oxide
(C) heated zinc oxide
(D) ... 2022-11-16 Define Hydroponics 2022-11-16 \( P, Q, R \) and \( S \) are respectively the mid-points of the sides \( A B, B C, C D \) and \... 2022-11-16 A force \( F_{1} \) acts on a particle so as to accelerate it from rest to a velocity \( v \). T...