Correct Answer: B) The DNA

Explanation

The question is asking what is responsible for the direction of growth and development of an organism. The options are the nucleus, DNA, neuron, and RNA. Out of these options, the correct answer is B, which is DNA. DNA stands for deoxyribonucleic acid and is a molecule that contains genetic instructions. These instructions are responsible for the growth, development, functioning, and reproduction of all living organisms. DNA provides the blueprint for the formation of proteins, which are essential for the proper functioning of the organism. The nucleus is a part of the cell that contains DNA. It acts as the control center of the cell and regulates the activities of the cell. The neuron is a specialized cell that transmits nerve impulses. RNA, on the other hand, is a molecule that is involved in protein synthesis. In summary, DNA is responsible for the direction of growth and development of an organism. It provides the genetic instructions for the formation of proteins, which are essential for the proper functioning of the organism. The other options, such as the nucleus, neuron, and RNA, are important for different functions in the cell but not responsible for the direction of growth and development of the organism.

Correct Answer: A. in combination with haemoglobin

Correct Answer: C. excess of evaporation over rainfall

Correct Answer: C. low income group

Correct Answer: B. (\(\frac{1}{4}\), \(\frac{3}{4}\))

Explanation

2x\(^2\) + 2y\(^2\) - x - 3y - 41

standard equation of circle

(x-a)\(^2\) + (x-b)\(^2\) = r\(^2\)

General form of equation of a circle.

x\(^2\) + y\(^2\) + 2gx + 2fy + c = 0

a = -g, b = -f., r2 = g2 + f2 - c

the centre of the circle is (a,b)

comparing the equation with the general form of equation of circle.

2x\(^2\) + 2y\(^2\) - x - 3y - 41

= x\(^2\) + y\(^2\) + 2gx + 2fy + c

2x\(^2\) + 2y\(^2\) - x - 3y - 41 = 0

divide through by 2

g = \(\frac{-1}{4}\) ; 2g = \(\frac{-1}{2}\)

f = \(\frac{-3}{4}\) ; 2f = \(\frac{-3}{2}\)

a = -g → - \(\frac{-1}{4}\) ; = \(\frac{1}{4}\)

b = -f → - (\frac{-3}{4}\) = (\frac{3}{4}\)

therefore the centre is (\(\frac{1}{4}\), \(\frac{3}{4}\))

Correct Answer: B. it is a corporate entity

Explanation

A joint stock company enjoys perpetual existence because it is a corporate entity. This means that the company is a legal person separate from its members. As a result, the company can continue to exist even if the members change or die.

Correct Answer: B. Ferdinand

Correct Answer: A. N1820

Explanation

\(|TQ|^{2} = 4^{2} + 6^{2} - 2 \times 4 \times 6 \times \cos 30°\)

= \(16 + 36 - 48 \times 0.8660\)

= \(52 - 41.568 = 10.432\)

\(\therefore |TQ| = \sqrt{10.432} \approxeq 3.23 cm\)

(a) By the rules of similar triangles,

\(\frac{|PT|}{|TQ|} = \frac{|PS|}{|SR|}\)

\(\frac{4}{3.23} = \frac{10}{|SR|}\)

\(|SR| = \frac{3.23 \times 10}{4}\)

= \(8.075 cm \approxeq 8 cm\)

(b) Using sine rule,

\(\frac{|PQ|}{\sin \alpha} = \frac{|TQ|}{\sin 30}\)

\(\frac{6}{\sin \alpha} = \frac{3.23}{\sin 30}\)

\(\sin \alpha = \frac{6 \sin 30}{3.23}\)

sin \(\alpha\) = 0.9288

From the diagram, \(\alpha\) = \(\beta\)

\(\sin \alpha = \sin \beta = 0.9288\)

\(\sin \beta = \frac{h}{6}\)

h = \(6 \sin \beta\)

Hence, area of quadrilateral

TQRS = \(\frac{1}{2} (TQ + SR) \times h\)

= \(\frac{1}{2} (3.23 + 8.075) \times 6\sin \beta\)

= \(\frac{1}{2} (11.305) (6 \times 0.9288)\)

= 31.501 cm\(^2\)

\(\approxeq\) 32 cm\(^2\) (to the nearest whole number)

Correct Answer: C. major jihad