Practice paper · Annual

cos 30° + cos 90° + cos 150° + cos 210° =

1. A1
2. B0
3. C−√3/2
4. D1/2

Which of the following is not equal to cos 2x ?

1. Acos² x − sin² x
2. B1 − 2 sin² x
3. C1 − 2 cos² x
4. D(1 − tan² x)/(1 + tan² x)

If [.] denote the greatest integer function, then which of the following statement is true ?

1. A[x] = x for all real x
2. B[x] = x , only when x is an integer
3. C[x] = x+1, if x is not an integer
4. D[x] = x-1, if x is an integer

Which of the following complex number is equal to Z = i¹⁺²⁺³⁺.........+²⁰²⁵

1. A1+0i
2. B-1+0i
3. C0-i
4. D0+i

If the focus of the parabola is (4,0) and its directrix is x=3 then its equation is :

1. Ay² = 16x
2. By² =− 16x
3. Cx² = 16y
4. Dx² =− 16y

Equation of the line passing through the point (1,2) and perpendicular to the line x+y+1=0 is :

1. Ay-x+1=0
2. By-x-1=0
3. Cy-x+2=0
4. Dy-x-2=0

Mean and standard deviation of the numbers 2,4,6,8,10 are :

1. AMean = 6, Standard deviation = 2.83
2. BMean = 5, Standard deviation = 2
3. CMean = 6, Standard deviation = 3.16
4. DMean = 5, Standard deviation = 2.24

Assertion (A): The inequality −2x>6 is equivalent to x<−3 Reason (R): When both sides of an inequality are divided or multiplied by a negative number, the inequality sign reverses.

1. ABoth A and R are true and R is the correct explanation of A.
2. BBoth A and R are true but R is not the correct explanation of A.
3. CA is true but R is false.
4. DA is false but R is true.