sin \theta is negative in the _____ and the fourth quadrant.

• A) second
• B) first
• C) third
• D) fourth

\[The\,\,function\,\,y = \sin 3x\,\,has\,period...\]

• A) \[\pi \]
• B) \[2\pi \]
• C) \[\frac{\pi }{2}\]
• D) \[\frac{{2\pi }}{3}\]

\sin 2A = \_\_\_\_\_\,.

• A) {\cos ^2}A + {\sin ^2}A
• B) {\cos ^2}A - {\sin ^2}A
• C) 1 - 2{\sin ^2}A
• D) 2\sin A\,\,\cos A

The center of a circle having equation {(x + 2)^2} + {(y - 5)^2} - 36 = 0 is at.........

• A) (2,-5)
• B) (-2,5)
• C) (-2,-5)
• D) (2,5)

cos\theta is positive in the ___________ quadrant.

• A) I
• B) II
• C) III
• D) Both I and II

\[\tan (\theta + \pi )\]=

• A) \[\sec \theta \]
• B) \[\tan \theta \]
• C) \[ - \tan \theta \]
• D) \[\cot \theta \]

$\cot \theta = $

• A) $\frac{{sin\theta }}{{\cos \theta }}$
• B) $\frac{{\sin \theta }}{{\cot \theta }}$
• C) $\frac{{\cos ec\theta }}{{\cos \theta }}$
• D) $\frac{{\cos \theta }}{{\sin \theta }}$

Equation of a circle centred at (-5,0) and radius $\sqrt 9 $ is .......

• A) ${(x+5)^2} + {y^2} = 9$
• B) ${(x-5)^2} + {(y + 5)^2} = 9$
• C) ${x^2} + {(y + 5)^2} = 81$
• D) ${x^2} + {(y - 5)^2} = 81$

\[\sin (\theta + 2\pi ) = \]

• A) \[ - \sin \theta \]
• B) \[\cos \theta \]
• C) \[\sin \theta \]
• D) \[ - \cos \theta \]

$\tan \theta = $

• A) $\frac{{\sin \theta }}{{\cos \theta }}$
• B) $\frac{{\cot \theta }}{{\sin \theta }}$
• C) $\frac{{\cot \theta }}{{\cos \theta }}$
• D) $\frac{{\cos \theta }}{{\sin \theta }}$

The midpoint of the line segment with the endpoints (−1, 1), (7, −5) is

• A) (-4,2)
• B) (4,-2)
• C) (3,2)
• D) (3,-2)

The midpoint of the line segment with the endpoints (−4, 4), (−2, 2) is

• A) (-3,3)
• B) (2,2)
• C) (-2,-2)
• D) (-6, 6)

What is the period of the following trigonometric function: m(t)=−3cot(−2t)

• A) ω=π/2
• B) ω=π
• C) ω=−π
• D) ω=π/3

$${\text{The integral }}\int {\frac{{4x}}{{{{(2{x^2} + 1)}^2}}}\,dx\,} {\text{will be equal to ?}}$$

• A) $$- \frac{1}{{2{x^2} + 1}} + c$$
• B) $$- \frac{1}{{{{(2{x^2} + 1)}^3}}} + c$$
• C) $$\frac{1}{{2{x^2} + 1}} + c$$
• D) $$- \frac{1}{{2x + 1}} + c$$

If f(x) = x^5 + x, then which of the following is true about it.

• A) Its anti – derivative is x^5/5 + 1.
• B) Its anti – derivative is x^6/6 + x^2/2 + 6.
• C) Its anti – derivative is 5x^4 + 1.
• D) None of these.

Which of the following is the sum of 5^ (k+1) where k goes from 1 to 3?

• A) 525
• B) 675
• C) 775
• D) 875

What will be the value of summation of k3 where k goes from 3 to 3?

• A) 9
• B) 1
• C) 27
• D) 3

Newton’s method is not applicable when ‘f’ is a …………

• A) Exponential function.
• B) Trignometric function
• C) Constant function
• D) Polynomial

1+2+3+…+200 equals _____.

• A) 20100
• B) 20012
• C) 21021
• D) 21220

The derivative of the area under the continuous function f(x)= 2+3Sinx in the interval[-pi,pi] is---------

• A) 2-3Cosx
• B) 2-3Sinx
• C) 2+3Cosx
• D) 2+3Sinx