|{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a,...

`|{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}|=`

A

0

B

`-1`

C

1

D

2

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|{:(a-x," "b," "c),(" "b,c-x," "a),(" "c," "a,b-x):}|=0

|{:(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b):}|=8abc

|{:(b+c,a,b),(c+a,c,a),(a+b,b,c):}|

|{:(a,b,c),(b,c,a),(c,a,b):}|

Show that, |{:(" "a,b-c,c+b),(a+c," "b,c-a),(a-b,b+a," "c):}|=(a+b+c)(a^2+b^2+c^2)

If |(b +c,c +a,a +b),(a +b,b +c,c +a),(c +a,a +b,b +c)| = k |(a,b,c),(c,a,b),(b,c,a)| , then the value of k, is 1 b. 2 c. 3 d. 4

If |{:(a,b,1),(b,c,1),(c,a,1):}|=2010 and if |{:(c-a,c-b,ab),(a-b,a-c,bc),(b-c,b-a,ca):}|-|{:(c-a,c-b,c^(2)),(a-b,a-c,a^(2)),(b-c,b-a,b^(2)):}|=p , then the number of positive divisors of p is

|{:(-a," "a," "a),(" "b,-b," "b),(" "c," "c,-c):}|

|{:(a-b,1,a),(b-c,1,b),(c-a,1,c):}|=|{:(a,1,b),(b,1,c),(c,1,a):}|

{:|( 3a,-a+b,-a+c),( -b+a, 3b,-b+c) ,( -c+a,-c+b,3c) |:} = 3( a+b+c) ( ab+bc+ca)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS

The sequence log a, log (a^(2)/b), log (a^(3)/b^(2)) is:
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If in a triangle ABC, sin A, sin B, sin C are in A.P, then
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|{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}|=
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The area enclosed between y^(2) = x and y=x is:
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Let f(x) = x^(3) e^(-3x) , x gt 0. Then the maximum value of f(x) is:
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The area bounded by y^(2) = 4x and x^(2) = 4y is:
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The acceleration of a particle starting from rest moving in a straight...
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The solution of: (dy)/(dx) = y/x + tan y/x is:
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Integrating Factor (I.F). Of the differential equation: (dy)/(dx) -...
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The differential equation of y=ae^(bx) (a & b are parameters) is:
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The value of: lim(n to infty) sum(r=1)^(n) r^(2)/(r^(3) + n^(3)) is:
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The value of int(0)^(pi) sin^(50)x cos^(49) x dx is:
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int 2^(x) [f'(x) + f(x) (log 2)] dx is
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Let f(x) = tan^(-1) x. Then f'(x) + f''(x) is =0, when x is equal to:
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If y= tan^(-1) ((sqrt(1+x^(2))-1)/x) , then y'(1)=
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The value of lim(x to 1) (x+x^(2)+ ….. + x^(n) -n)/(x-1) is:
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lim( x to 0) (sin (pi sin^(2)x))/x^(2) =
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If the function: f(x) = {{:((x^(2)-(A+ 2)x+A)/(x-2), "for", x ne 2),...
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f(x) ={{:([x]+[-x], "when" , x ne 2),(lambda, "when", x =2):}, If f(x)...
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The even function of the following is:
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