Step 1: Understanding Quadrantal Bearing System.
Quadrantal bearings (also called reduced bearings) are measured with respect to the North or South direction towards East or West, restricted to $0^\circ$ to $90^\circ$.
Step 2: Observation instrument.
The Surveyor's Compass is designed to directly measure quadrantal bearings. On the other hand, the Prismatic Compass directly reads whole-circle bearings.
Step 3: Analysis of options.
- (A) Prismatic compass: Measures whole circle bearings, not quadrantal.
- (B) Surveyor's compass: Directly gives quadrantal bearings.
- (C) Celestial observations: Used for astronomical bearings, not quadrantal.
- (D) Magnetic declination: It's a correction, not an observation method.
Step 4: Conclusion.
The quadrantal bearing is directly observed using a Surveyor's Compass.
The solution(s) of the ordinary differential equation $y'' + y = 0$, is:
(A) $\cos x$
(B) $\sin x$
(C) $1 + \cos x$
(D) $1 + \sin x$
Choose the most appropriate answer from the options given below:
For the matrix, $A = \begin{bmatrix} -4 & 0 \\ -1.6 & 4 \end{bmatrix}$, the eigenvalues ($\lambda$) and eigenvectors ($X$) respectively are:
The value of $\iint_S \vec{F} \cdot \vec{N} \, ds$ where $\vec{F} = 2x^2y \hat{i} - y^2 \hat{j} + 4xz^2 \hat{k}$ and $S$ is the closed surface of the region in the first octant bounded by the cylinder $y^2 + z^2 = 9$ and the planes $x = 0, x = 2, y = 0, z = 0$, is:
The value of the integral $\displaystyle \oint_C \frac{z^3 - 6}{2z - i} \, dz$, where $C: |z| \leq 1$, is:
Which of the following statements (with respect to compass traversing) are correct?
A. True meridian at a station is constant.
B. True meridian passing through different points on the earth surface converges towards the pole.
C. The angle between the true meridian and the line is known as declination.
D. The angle between the magnetic meridian and the line is known as azimuth.
Choose the most appropriate answer from the options given below: