WBJEE - Mathematics (Category - 1) Model Test
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Question 1 |
The value of ∑13n =1 (in + in+1) , where i= √-1 is
A | i |
B | i - 1 |
C | -i |
D | 0 |
Question 2 |
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 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 |
If n = mC2 then the value of nC2 is given by
A | m-1C4 |
B | m+1C4 |
C | 3.(m+1C4) |
D | 3.(m-1C4) |
Question 5 |
The value of 2tan-1(1/3) + tan-1(1/7) is :
A | π |
B | π/2 |
C | π/4 |
D | π/8 |
Question 6 |
If the roots α, β of the equation (x2 – 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 7 |
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 8 |
If 2x + 2y = 2x+y, then the value of dy/dx ay x = y = 1 is
A | 0 |
B | -1 |
C | 1 |
D | 2 |
Question 9 |
sin(47º) + sin(61º) - sin(11º) - sin(25º) equals
A | sin (36º) |
B | cos (36º) |
C | sin (7º) |
D | cos (7º) |
Question 10 |
The degree and order of the differential equation of all parabolas whose axis is the x-axis are respectively
A | 1 ,2 |
B | 2 ,1 |
C | 2 ,3 |
D | 3 ,2 |
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