If the constraints in a linear programming problem are changed then,
(A) The problem is to be revaluated.
(B) Solution not defined.
(C) The objective function has to be modified.
(D) The objective function need not be modified.
(E) The change in constraints does not affect the solution.

The interval on which the function \(f(x)=x^3+2 x^2-1\) is decreasing, is

If \(A=\left[\begin{array}{ll}3 & -2 \\ 4 & -2\end{array}\right], \quad I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]\) and \(A^2=K A-2 I\), then the value of \(K\) is

If \(A\) is a square matrix of order 2 , then \(|\operatorname{adj} A|\) is equal to:

If the function \(f(x)=2 x^3+9 x^2+12 x-1\) is given, then \(f(x)\) has

Disha can run 1 km in 2 minutes 30 seconds and Amisha can cover the same distance in 2 minutes 40 seconds. Disha can beat Amisha by distance.

If \(A\) and \(B\) are two invertible matrices, then which of the following statements are correct?
(A) \(\left|A^{-1}\right|=|A|^{-1}\)
(B) \(\operatorname{adj} A=|A| A^{-1}\)
(C) \((A B)^{-1}=A^{-1} B^{-1}\)
(D) \((A+B)^{-1}=A^{-1}+B^{-1}\)
Choose the correct answer from the options given below:

The correct IUPAC name of the following compound is

Match List-I with List-II

List-(I) Function	Lis-(II) Derivative
(A) \(y=\sin ^{-1} x+\sin ^{-1} \sqrt{1-x^2},|x|<1\)	(I) \(\frac{d y}{d x}=\frac{1}{2 y-1}\)
(B) \(y=\sqrt{x+y}, x+y>0, y \neq \frac{1}{2}\)	(II) \(\frac{d y}{d x}=10^x \log _e 10\)
(C) \(y=\log _{10} x, x>0\)	(III) \(\frac{d y}{d x}=0\)
(D) \(y=10^*\)	(IV) \(\frac{d y}{d x}=\frac{1}{x \log _e 10}\)

Choose the correct answer from the options given below:

Read the passage carefully and answer the questions based on the passage:
Pollen pistil interaction involves all events from the landing of pollen grains on the stigma until the pollen tube enters the embryo sac (when the pollen is compatible). When a pollen tube grows through the style and enters into the ovules, it finally discharges two male gametes in one of the synergids. Syngamy and triple fusion are two fusion events occur in angiosperms. Thus, angiosperms exhibit double fertilization. The products of these fusions are the diploid zygote and triploid primary endosperm nucleus. Zygote develops into embryo and primary endosperm cell forms the endosperm tissue. The developing embryo passes through different stages before maturation.
Formation of diploid zygote is a result of:

Which of the following formula correctly represents the double salt "Carnallite"?

Which of the following combination should be selected for better tuning of an LCR circuit used for communication ?

Match List I with List II

LIST I	LIST II
A. Buna-S	I. Polyamide
B. Nylon 6,6	II. Homopolymer
C. Polythene	III. Terepthalic acid,ethylene glycol
D. Terylene	IV. Copolymer

Choose the correct answer from the options given below: