pls give hint

There r two sets of parallel lines,their equations being xcosα+ysinα=p; p=1,2,3,......m and ycosα-xsinα=q;q=1,2,3,4....n; and n>m wher α is constant. what is the no of squares that can be formed with these lines

14 Answers

1
skygirl ·

parallel ??

or perpendicular ??

1
mkagenius ·

i think lots of square can b formed....

1
skygirl ·

haan many [3] [3]

ans : many

11
virang1 Jhaveri ·

none since the lines are parallel

1
mkagenius ·

@sankara did u make the graph....if yes... then use permu and combi. to get the answer.............start with a 2 into 2 maze....then increase sloly...to the chess board ..
...see whats coming....the sequence u might get in the way...

1
skygirl ·

1
mkagenius ·

@virang they r not parallel....they r parallel among themselves....

1
skygirl ·

got a seres

1
mkagenius ·

answer might b....

(n-1)2+(n-2)2+(n-3)2+.....+12

1
mkagenius ·

no no...... more quares will there...

1
mkagenius ·

oh! m is also there.......

1
skygirl ·

1
skygirl ·

see for 1 sq unit squares, this diff will be (1,1) and (1,-1)

----------2 -------------------------------------------- (2,2) and (2,-2)

....

....

....

then for k sq unit squares, it is (k,k) and (k,-k).

1
mithun ·

the answer should be (m-1)(n-1)+(m-2)(n-2)+(m-3)(n-3)+......+(upto any one becomes 1)........@mkagenius ...read the question carefully before answering...ur ans was right only if m=n;

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