COMPREHENSION

n charges , all of same magnitude are placed at the n corners of a geometrical structure or object (eg.triangle,cuboid,tetrahedron,parallelogram etc.).At the centre of the structure potential is V and the field is E.It should be noted that n is ODD here.Answer the given questions.MORE THAN ONE CORRECT OPTIONS are there. 

<I>

(i) If V=0 then E0 or may be E=0

(ii) If V=0 then always E=0

(iii)If V=0 then always E0

(iv) If V0 then always E=0

(v) If V0 then always E0

(vi) If V0 then  E=0 or may be  E0

<II>

(i)If E=0 then V=0 or may be  V0

(ii)If E=0 then always V=0

(iii)If E=0 then always V0

(iv)If E then V=0 or may be V0

(v)If E0 then always V=0

(vi)If E0 then always V0

 

[ I have given more than 4 options to clear the concept.]

Given the equations:-

(b+c)(y+z)-ax=b-c;

(c+a)(z+x)-by=c-a;

(a+b)(x+y)-cz=a-b,  (a+b+c is not equal to 0);

    then ratio of x : y : z is given by;-

i)b-c : c-a : a-b

ii)b+c : c+a : a+b

iii)a : b : c

iv)c : b : a

Let a,b (a>b) be the sides and p,q (p>q) be the diagonals of a parrellelogram in which the sides are inclined at ₁ and diagonals are inclined at  ₂.  If  a/b= 

  +     and p/q=  +  then what is the value of

 

 

                           (    +    ) (    +   )      ?

Let the position vector a,b,c and the vectors f,g,h define 3 lines  as r=a+uf,r=b+vg,r=c+wh.Further,let the areas of the s formed by the position vectors,the vectors and the lines be _{^1 ,  2,  3.}  FIND the value of-

 ₁square+₂square₊₃square.(Note:u,v and w are non-zero constants and there is a vector arrow over each of a,b,c,f,g and h.)

There are n₁ streets in a city running N-S and n₂ streets running E-W.Then

what is the  number of ways in which a person can travel from one corner to the diagonally opposite corner through the

i)shortest possible distance ?

ii)longest possible distance?

There are n₁ streets in a city running N-S and n₂ streets running E-W.Then

what is the  number of ways in which a person can travel from one corner to the diagonally opposite corner through the

i)shortest possible distance ?

ii)longest possible distance

What is the locus of a point equidistant from 3 points whose position vectors

are a,b,c where r is the position vector of the given point?(NOTE:There is a vector arrow over a,b,c and r.) 

You are right sir.But can you please solve the answer when d_i=6+4 and d_c=4.The answer should come 54.