Graphical and numerical methods are specialized process utilized in

• A) Social Statistics
• B) Business Statistics
• C) Descriptive Statistics
• D) Education Statistics

\tan (\theta + \pi )=

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

In the cosine function, the minimum value of ______ is taken when \theta = \pm {180^ \circ }\,,\, \pm {540^ \circ } and so on.

• A) 1
• B) 0
• C) -0.5
• D) -1

tan \theta negative in the second and the ______ quadrant.

• A) Second
• B) Fourth
• C) Third
• D) First

1 + {\cot ^2}\theta =

• A) {\sec ^2}\theta
• B) {\csc ^2}\theta
• C) {\sec ^2}\theta
• D) {\tan ^2}\theta

\[\cos 2A = \_\_\_\_\_\,.\]

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

cos\theta is positive in the _______ and the fourth quadrant.

• A) Third
• B) Second
• C) First
• D) fourth

\cos (180 - \theta ) = \_\_\_\_\_.

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

Find the center (h, k) and radius r of the circle with the given equation. \[{x^2} - 16x + 64 + {(y + 3)^2} = 49\]

• A) (h, k) = (8, -3); r = 7
• B) (h, k) = (-3, 8); r = 7
• C) (h, k) = (-8, 3); r = 49
• D) (h, k) = (3, -8); r = 49

The equation of a horizontal line passing through the point (0,0) is

• A) x-1 = 0
• B) y = 0
• C) none of the above
• D) x = 0

Write the standard form of the equation of the circle with radius 11 and centre (0, 6).

• A) \[{(x + 6)^2} + {y^2} = 121\]
• B) \[{x^2} + {(y - 6)^2} = 121\]
• C) \[{x^2} + {(y + 6)^2} = 11\]
• D) \[{(x - 6)^2} + {y^2} = 121\]

The first hand and unorganized form of data is called

• A) None of these
• B) Organized data
• C) Secondary data
• D) Primary data

The equation of a vertical line passing through the point (0, 0) is

• A) none of the above
• B) x = 0
• C) y = 0
• D) x-1=0

In inferential statistics, we study

• A) The methods to make decisions about the population based on sample results
• B) none of the above
• C) How to make decisions about mean, median, or mode
• D) How a sample is obtained from a population

The number of accidents in a city during 2020 is

• A) constant
• B) Qualitative variable
• C) Continuous variable
• D) Discrete variable

Fraternal twins are the result of _____ separate fertilization events

• A) Three
• B) Single
• C) Two
• D) Four

Neurulation in ______ is exclusively secondary.

• A) Mammales
• B) Reptiles
• C) Fishes
• D) Amphibians

discoidal meroblastic cleavage occur in ________.

• A) none of these
• B) birds and reptiles
• C) amphibians
• D) mammals

The region between area opaca and an area pellucida is ______________.

• A) Middle Zone
• B) Intermittent zone
• C) Marginal Zone
• D) Central Zone

Gastrulation begins at the

• A) Posterior marginal zone
• B) Area pellucida
• C) Anterior marginal zone
• D) Area opaca