WBJEE  Mathematics (Category  1) Model Test
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Question 1 
If the complex conjugate of (x + iy)(1 – i2) be 1 + i, then
A  x = 1/5 
B  y = 3/5 
C  x – iy = (1 – i)/(1 + i2) 
D  x + iy = (1 – i)/(1 – i2) 
Question 2 
sin(47º) + sin(61º)  sin(11º)  sin(25º) equals
A  sin (36º) 
B  cos (36º) 
C  sin (7º) 
D  cos (7º) 
Question 3 
The number of solutions of tan(x) + sec(x) = 2cos(x) lying in interval [0, 2π] is
A  3 
B  2 
C  1 
D  0 
Question 4 
The value of 2tan^{1}(1/3) + tan^{1}(1/7) is :
A  π 
B  π/2 
C  π/4 
D  π/8 
Question 5 
If the roots α, β of the equation (x^{2} – bx)/(ax – c) = (λ  1)/(λ + 1) are such that (α + β) = 0, then the value of α is
A  c 
B  1/c 
C  (a – b)/(a + b) 
D  (a + b)/(a  b) 
Question 6 
If n = ^{m}C_{2} then the value of ^{n}C_{2} is given by
A  ^{m1}C_{4} 
B  ^{m+1}C_{4} 
C  3.(^{m+1}C_{4}) 
D  3.(^{m1}C_{4}) 
Question 7 
The line segment joining the points (1,2) and (2,1) is divided by the line 3x + 4y = 7 in the ratio
A  3 : 4 
B  4 : 3

C  9 : 4 
D  4 : 9 
Question 8 
If 2^{x} + 2^{y} = 2^{x+y}, then the value of dy/dx ay x = y = 1 is
A  0 
B  1 
C  1 
D  2 
Question 9 
The value of ∑^{13}_{n =1} (i^{n} + i^{n+1}) , where i= √1 is
A  i 
B  i  1 
C  i 
D  0 
Question 10 
The degree and order of the differential equation of all parabolas whose axis is the xaxis are respectively
A  1 ,2 
B  2 ,1 
C  2 ,3 
D  3 ,2 
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