Let R be the feasible region for a Linear Programming Problem and let \(z=a x+b y\) be the objective function. If R is bounded, then the objective function z has :

The value of \(x\) for which the matrix \(A = \begin{bmatrix} 1 & -2 & 3 \\ 1 & 2 & 1 \\ x & 2 & -3 \end{bmatrix}\) is singular is:

If order of matrix A is \(m \times p\) and order of matrix B is \(p \times n\), then what is the order of matrix AB ?

Which of the following statements about the Sinking Fund are correct?
(A) It is a fund established by a business entity by setting aside revenue over a period of time to fund a future capital expense.
(B) It is a fund established by a business entity by setting aside revenue over a period of time to fund a future repayment of a long-term debt.
(C) It is set up for any purpose that it may serve.
(D) It is a fund that is accumulated for the purpose of paying off a financial obligation at some future designated date.
Choose the correct answer from the options given below :

The angle between the line \(\frac{x+2}{3}=\frac{y-3}{2}=\frac{z+5}{6}\) and the plane 2x + 10y - 11z = 5 is:

Let \(A=\left[\begin{array}{cc}0 & 2 \alpha+1 \\ 1 & \beta\end{array}\right]\) and \(B=\left[b_{i j}\right]\) be a skew symmetric matrix of order 2 such that \(b_{12}=1\).
If \(A B=I_2\), where \(I_2\) is the identity matrix of order 2 , then :

An annuity in which the periodic payment begin on a fixed date and continue forever is called:

An EMM wave travelling in vacuum is described by \(\overrightarrow{ E }= E _0 \sin ( k x -\omega t) \hat{ j }\) and \(\overrightarrow{ B }= B _0 \sin ( k x -\omega t) \hat{ k }\) Which of the following relation is true ?

Identify the correct statements among the following.
(A) The wavefront for a point source of light is in a spherical shape, rays are all radial from the point source,
(B) All the points on a cylindrical wavefront vibrate in the same phase,
(C) A set of straight lines perpendicular to a wavefront are called rays of light. Light energy does not flow along these lines.
(D) Every point of a given wavefront acts as a fresh source of a secondary wavelet
Choose the correct answer from the options given below:

Find the odd one out among the following structures?

Read the passage carefully and answer the Questions
The term vitamin was coined from the word vital +amine since the earlier identified compounds had amino groups. Later work showed that most of them didn't contain amino groups. They are very essential for the body. They has to be taken various diet or in the form of medicines also.
Vitamins are classified into two groups depending upon their solubility in water or fat.
Fat soluble vitamins are soluble in fat and oils but insoluble in water. They are stored in liver and adipose (fat storing) tissues Water-soluble vitamins are soluble in water. These must be supplied regularly in diet because they are readily excreted in urine and cannot be stored in our body.
Which vitamin is known as Riboflavin?

In a coil, a current of 0.2 A increases at the rate of \( 0.4 \text{ A s}^{-1} \). If the power flow in the coil is \( 0.6 \text{ J s}^{-1} \) the inductance of the coil is:

In the following nuclear reaction,
\( {}^1_0n + {}^{235}_{92}U \rightarrow {}^{140}_{54}Xe + {}^a_bSr + 2{}^1_0n \), we have