Explanation

(a) Modern mode of popular participation refers to the in contemporary way of citizens engagement in governmental decision making process, expression of views and election of their representatives in a democratic state.

(b)i. By promoting political awareness and education ii. By fostering political stability iii. By promoting self-fulfillment and satisfaction of citizens iv. By enhancing responsive and responsible government/accountability V. By ensuring equity in the allocation of societal resources vi. By promoting democratic principles.

Correct Answer: C. demonstrate God's power over the Baals

Correct Answer: C. Executive organ

Correct Answer: C. cell wall and chloroplast

Correct Answer: A. I

Correct Answer: B. reclamation and irrigation

Explanation

Let \(A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}\).

\(T : \begin{pmatrix} a & b \\ c & d \end{pmatrix} = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} 3 & 5 \\ 4 & 6 \end{pmatrix}\)

\(2a + 3b = 3 ... (1)\)

\(4a + 5b = 5 ... (2)\)

\(2c + 3d = 4 ... (3)\)

\(4c + 5d = 6 .... (4)\)

Solving (1) & (2) :

\((1) \times 2 : 4a + 6b = 6 ... (5)\)

\((5) - (2) : b = 1\)

\(2a + 3(1) = 3 \implies 2a = 0; a = 0\)

\((3) \times 2 : 4c + 6d = 8 ... (6)\)

\((6) - (5) : d = 2\)

\(2c + 3(2) = 4 \implies 2c = -2; c = -1\)

(a) \(\therefore A = \begin{pmatrix} 0 & 1 \\ -1 & 2 \end{pmatrix}\)

(b) Let the inverse of A be A\(^{-1}\).

\(AA^{-1} = 1\)

\(\begin{pmatrix} 0 & 1 \\ -1 & 2 \end{pmatrix} \begin{pmatrix} w & x \\ y & z \end{pmatrix} = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\)

\(\begin{pmatrix} y & z \\ -w + 2y & -x + 2z \end{pmatrix} = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\)

\(\implies y = 1; z = 0\)

\(-w + 2y = 0 \implies -w + 2 =0\)

\(-w = -2 \implies w = 2\)

\(-x + 2z = 1 \implies -x + 2(0) = 1\)

\(-x = 1 \implies x = -1\)

\(\therefore A^{-1} = \begin{pmatrix} 2 & -1 \\ 1 & 0 \end{pmatrix}\)

(c) Let the point be (x, y).

\(A : x \to \begin{pmatrix} 0 & 1 \\ -1 & 2 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} -1 \\ 1 \end{pmatrix}\)

\(0 + y = -1 \implies y = -1\)

\(-x + 2y = 1 \implies -x + 2(-1) = 1\)

\(-x - 2 = 1 \implies -x = 3\)

\(x = -3\).

The point is (-3, -1).

Correct Answer: C) Creation of goods

Explanation

Option A: Advertising goods. Advertising is an important function of commerce because it helps to promote and create awareness about products and services. It plays a crucial role in attracting customers and increasing sales.

Option B: Increasing profit made. Increasing profit is one of the main objectives of commerce. Businesses engage in various strategies and activities to maximize their profits, such as cost management, pricing strategies, and market expansion.

Option C: Creation of goods (Correct). This option is the correct answer. The creation of goods is not a function of commerce. The creation of goods falls under the domain of production, which is a separate field from commerce. Commerce focuses on the exchange and distribution of goods, rather than their creation.

Option D: Distribution of goods. The distribution of goods is a key function of commerce. It involves activities such as transportation, warehousing, and logistics to ensure that goods are delivered to the right place at the right time.

In summary, the correct answer is Option C: Creation of goods. This is because the creation of goods is not a function of commerce, but rather a function of production. Commerce primarily deals with the buying, selling, and distribution of goods and services.

Correct Answer: B. 3.5cm

Explanation

Curved surface area of cylinder = 2\(\pi\)rh

110 = 2 x \(\frac{22}{7}\) x r x 5

r = \(\frac{110 \times 7}{44 \times 5}\)

= 3.5cm

Correct Answer: C. shift the equilibrium position to the left