chapter 1| ex: 1.1 |number system

For a real number a, if the system {:[(1,a,a^2),(a,1,a),(a^2,a,1)][(x),(y),(z)]=[(1),(-1),(1)]:} of the linear equations, has infinitely many solutions, then 1+a+a^2=

If x and y are complex numbers, then the system of equations (1+i)x+(1-i)y=1,2i x+2y=1+i has

If xa n dy are complex numbers, then the system of equations (1+i)x+(1-i)y=1,2i x+2y=1+i has Unique solution No solution Infinite number of solutions None of these

The conjugate of a complex number is 1/(i-1) . Then the complex number is

solution, #Introduction to Physics, chapter 1,objetive 1 ,#H C verma

Imagine a system of units in which the unit of mass is 100 kg, length is 1 km and time is 1 minute Then 1 joule in this system is equal to

Find the correct answers about body coordination 1. Nervous system 2. Circulatory system 3. Endocrine system 4. Excretory system. (a) 1,2,3 correct (b) 1,2 correct (c) 2,4 correct (d) 1,3 correct

Let a , b , c ne three distinct non-zero real numbers satisfying the system of equation (1)/(a)+(1)/(a-1)+(1)/(a-2)=1 , 1/b+(1)/(b-1)+(1)/(b-2)=1 , (1)/(c )+(1)/(c-1)+(1)/(c-2)=1 . Then abc= (a) 1 (b)2 (c)3 (d)4

In two different system of unit an acceleration is represented by the same number, whilst a velocity is represented by numbers in the ratio 1:3 . The ratio of unit of length and time are

STATEMENT-1 : The charge of an isolated system is conserved. STATMEENT-2 : The positive charge of an isolated system is conserved. STATEMENT -3 : The number of charged particles of an isolated system is conserved.