List of practice Questions

The direction cosines of a line which is perpendicular to lines whose direction ratios are \( 3, -2, 4 \) and \( 1, 3, -2 \) are

The polar co-ordinates of the point whose cartesian co-ordinates are \( (-2, -2) \), are given by

If the lines given by \( \frac{x-1}{2\lambda} = \frac{y-1}{5} = \frac{z-1}{2} \) and \( \frac{x+2}{\lambda} = \frac{y+3}{\lambda} = \frac{z+5}{1} \) are parallel, then the value of \( \lambda \) is

The symbolic form of the following circuit is (where \( p, q \) represents switches \( s_1 \) and \( s_2 \) closed respectively)

The value of \( \int_{2}^{3} \frac{x}{x^2 - 1} \, dx \) is

In a triangle \( ABC \) with usual notations, if \( \frac{\cos A}{a} = \frac{\cos B}{b} = \frac{\cos C}{c} \), then the area of triangle \( ABC \) with \( a = \sqrt{6} \) is

If the foot of perpendicular drawn from the origin to the plane is \( (3, 2, 1) \), then the equation of the plane is

The letters of the word 'LOGARITHM' are arranged at random. The probability that the arrangement starts with a vowel and ends with a consonant is

Which among the following type of linkages is present in cellulose?

Which of the following is NOT present in baking powder?

A solution has an osmotic pressure of \( x \) kPa at 300K having 1 mole of solute in \( 10^{-5} \, \text{m}^3 \) of solution. If its osmotic pressure is reduced to \( \frac{1}{10} \) of its initial value, what is the new volume of solution?

Identify the catalyst X used in the following reaction:
CH\(_3\)CH\(_2\)Br + 2[H] \(\xrightarrow{X}\) CH\(_3\)CH\(_3\) + HBr

In a quadrilateral \( ABCD \), \( M \) and \( N \) are the mid-points of the sides \( AB \) and \( CD \) respectively. If \( AD + BC = t \cdot MN \), then \( t = \)

What is the oxidation number of As in H\(_3\)AsO\(_3\)?

Identify the product ‘A’ in the following reaction:
\text{Aniline} + (CH\(_3\)CO)\(_2\)O \(\xrightarrow{\text{pyridine}}\) A

What will be the concentration of NaCl solution, if the molar conductivity and conductivity of NaCl solution are 124.3 \(\Omega^{-1}\)cm\(^2\)mol\(^{-1}\) and 1.243 × 10\(^-4\) \(\Omega^{-1}\)cm\(^1\) respectively?

Which among the following is used as refrigerants and for air conditioning?

What type of intermolecular force is present between magnesium chloride and water?

Which of the following salts contain interstitial water molecules in it?

The reaction \( 2R - Cl + CoF_2 \rightarrow 2R - F + CoCl_2 \) is an example of .......

A metallic element crystallizes in simple cubic lattice. If edge length of the unit cell is 34Å, with density 8 g/cm\(^3\), what is the number of unit cells in 100 g of the metal? (Molar mass of metal = 108 g/mol)

Which among the following compounds belongs to lipids?

What is the effective atomic number of Zn in \([Zn(NH_3)_4]SO_4\)? (Atomic number of Zn = 30)

What is the value of C-O-H bond angle in CH\(_3\)-OH?

Which among the following is an antioxidant?