Area of the region bounded by the curve \(y^2=4 x, y\)-axis and the line \(y=3\) is equal to:

If \(A=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 1\end{array}\right]\), then \(A^{-1}\) is equal to :

Let \(x\) denote the number of heads in a simultaneous toss of three coins, then \(P(0 < x \leq 3)\)

The rise in prices before festivals is an example of

If the lines \(\frac{1-x}{3}=\frac{3 y-6}{k}=\frac{3-z}{-2}\) and \(\frac{1-x}{2 k}=\frac{y-5}{3}=\frac{6-z}{5}\) are perpendicular, then \(k\) is equal to :

The inverse of the matrix \(A=\left[\begin{array}{ccc}\frac{1}{2} & 0 & 0 \\ 0 & \frac{1}{4} & 0 \\ 0 & 0 & \frac{1}{8}\end{array}\right]\) is

The effective rate of return equivalent to a nominal rate of 12% per annum compounded quarterly is:
[Given that \((1.03)^4=1.1255\) ]

The slope of the cut off voltage versus frequency of incident light is found to be \(4.12 \times 10^{-15} Vs\).
The value of Planck's constant is :

Read the passage carefully and answer the questions
Optically active polyhydroxy aldehydes or ketones or molecules which provide such units on hydrolysis are called carbohydrates. They can be broadly classified as monosaccharides, disaccharides and polysaccharides depending on their behavior towards hydrolysis. They are also classified as reducing or non-reducing sugars. Another class of biomolecules is proteins which are polymers of twenty different amino acids linked by peptide bonds. Amino acids can be classified as acidic, basic or neutral depending on the relative number of amino and carboxyl groups in their molecule. The essential amino acids cannot be synthesized by our body and hence must be provided through diet. Nucleic acids are the polymers of nucleotides which in turn consist of a base, pentose sugar and phosphate. There are two types of
nucleic acids namely, DNA and RNA which differ in the composition of sugar and a base
Which of the following is non-reducing sugar?

Which one of the following hormones is essential for maintenance of the endometrium?

For the cell \(Ni(s)\ |\ Ni^{2+}\ (0.1M)\ ||\ Cu^{2+}\ (0.1M)\ |\ Cu(s)\), the cell potential will increase when :

Which one of the following regions will have the least number of bird species?

The reagents used for dehydration of alcohols are:
(A) Concentrated \(H _2 SO _4\)
(B) Phosphoric acid
(C) Alumina
(D) Anhydrous \(ZnCl _2\)
Choose the correct answer from the options given below: