Mahatma Gandhi National Rural Employment Guarantee Scheme (MNREGS) is a flagship rural development programme of the Union Government with several features.
Choose the correct combination:
(A) In phase-l, it was launched in two hundred most backward districts of the country in 2006.
(B) It is backed by the National Rural Employment Guarantee Act (NREGA) passed by Government of India in 2005.
(C) It is fundamentally different from all other wage employment programmes, as it guarantees employment as a legal right.
(D) More than 6.2 crore assets have been geo-tagged till February 2023 and made available in the public domain.
Choose the correct answer from the options given below: (1) (A), (B) and (C) only.
List-I | List-II |
(A) Rural banking | (I) Micro-credit programmes |
(B) Self-Help Groups | (II) Golden revolution |
(C) Agricultural marketing | (III) Land development banks |
(D) Horticulture | (IV) Distribution of different agricultural commodities across the country |
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $