If the area above x - axis, bounded by the curves \((y = 3^{\beta x}), \; x = 0\) and \(x = 3\) is \(\frac{(26)}{\log(e)} 3\), then the value of \(\beta\) is:

Given that the value of a determinant of order three is zero; which one of the following is not correct?

Match List - I with List - II.

List - I	List - II
(A) \(\int_{-1}^1|x| d x\)	(I) 0
(B) \(\int_{-\pi / 2}^{\pi / 2} \sin x d x\)	(II) 2
(C) \(\quad \int_{-\pi / 2}^{\pi / 2} \cos x d x\)	(III) \(\pi / 4\)
(D) \(\quad \int_0^{\pi / 2} \sin ^2 x d x\)	(IV) 1

Choose the correct option from the ones given below :

Three college graduates Asha, Babita and Cyrus enter into partnership to run an online tea business. After a bumper turnover they divide profits as 80,000, 60,000 and 1 lakh respectively. Which of the following was correct ratio of their investments?

The area of a triangle with vertices \((0,-3),(0,3)\) and \((k, 0)\) is 27 sq. units. The value of \(k\) is:

The equation of the normal to the curve \(y=2 \sin x\) at \((0,0)\) is:

If \(f(x)=x+\frac{1}{x}\). Which of the following is not a correct option?

The value of k for which \(k \frac{d y}{d x}=\sqrt{x}-\frac{1}{\sqrt{x}}\), where \(y=\sqrt{x}+\frac{1}{\sqrt{x}}\); is :

The technique shown in the picture is used to:

A circular loop of 20 turns carries a current of 5.0 A. If the magnetic field at the centre of the loop is 1.57 mT, the radius of the loop would be :

Two Polaroids are placed in such a way that their axes make an angle of 60° with each other. If an unpolarized light is incident on a system of these Polaroids, the fraction of transmitted light to the incident light will be

Two slits 0.1 mm apart with screen 2 m away produce fringe separation with 500 nm light. The separation is :

Read the passage carefully and answer
Carbohydrates are essential for both plants and animals. Some common examples of carbohydrates are glucose, fructose, sucrose, glycogen, cellulose and starch. They form a major portion of our food. Honey has been used for a long time as an instant source of energy in Ayurvedic medicine. Carbohydrates are used as storage molecules in both plants and animals. The cell wall of bacteria and plants is made of cellulose. We use cellulose in the form of wood for making furniture and as cotton fiber for clothing. They also provide raw material for textiles, paper, lacquers, and breweries. Carbohydrates are classified as Monosaccharides, Oligosaccharides and Polysaccharides on the basis of their behavior towards hydrolysis.
Monosaccharides cannot be hydrolyzed further to simpler units whereas oligosaccharides can yield 2-10 units of monosaccharides on hydrolysis. Polysaccharides, which are non-sugars yield a large number of monosaccharide units on hydrolysis.
Answer the following questions about carbohydrates:
Identify a component of starch from among the following.