The area (in sq. units) bounded by the parabola \(y^2=16 x\) and its latus rectum is

If \(A=\left[\begin{array}{cc}2 & 1 \\ 1 & 4 \\ -1 & 6 \\ 0 & 7\end{array}\right]\) and \(B=\left[\begin{array}{cccc}1 & 2 & 3 & 0 \\ 2 & -1 & 6 & 7\end{array}\right]\), then

Area bounded by the curve \(|x|+|y|=1\) is:

A. General solution of \(\frac{d y}{d x}=\frac{1+y^2}{1+x^2}\) is \(\tan ^{-1} y=\tan ^{-1} x+c\); Where c is a constant
B. General solution of \(\frac{d y}{d x}+\frac{\sqrt{1-y^2}}{\sqrt{1-x^2}}=0\) is \(\sin ^{-1} y-\sin ^{-1} x=c\); Where c is a constant
C. General solution of \(\frac{y d x-x d y}{y}=0\) is \(y=c x\); Where c is a constant
D. General solution of \(\frac{d y}{d x}=e^{x+y}\) is \(e^x+e^y=c\); Where c is a constant
E. \(\left(x^2+x y\right) d y=\left(x^2+y^2\right) d x\) is a homogeneous differential equation
Choose the correct answer:

The simple random sample consists of six observations: \(5, 8, 10, 7, 10, 14\). The point estimate of the population mean is:

At what rate of interest will the present value of a perpetuity of ₹ 500 payable at the end of every 6 months be ₹ 20,000 ?

The function given by \(f(x)=|x-1|+|x-2|+|x-3|\) is:

Friedel-Craft reaction as shown below is an example of

The speed of light in a medium whose critical angle is \(60^{\circ}\) will be:

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.
With reference to reproduction in flowering plants, which one of the following is incorrect?

Baculoviruses are excellent candidates for species specific__________ application.

The capacitance of a parallel plate capacitor with air as medium between the plates is 1 nF. When a material of dielectric constant 5 is filled between the plates, the new capacitance becomes -

Identify the statement which do not hold true for Deoxyribose Nucleic Acid.
A. Only purine bases are present in DNA.
B. Deoxyribose sugar is present
C. A nitrogenous base is linked to the 1'C pentose sugar through N glycosidic linkage.
D. Phosphate group is linked to OH of 4'C of a nucleotide.
Choose the correct answer from the options given below: