Element X is strongly electropositive and element Y is strongly electronegative. Both are univalent. The compound formed

The modern atomic unit is based on the mass of ______.

The total no of electron present in 18 ml of water is ______.

M is molecular weight of KMnO4. The equivalent wight of KMnO4 when it is converted into K2MnO4 is

A hydrocarbon contains 10.5 g of carbon per gram of hydrogen. 1 litre of the hydrocarbon at 127oC and 1 atmosphere weigh

A mixture contains NaCl and unknown chloride MCl. (i) 1g of this is dissolved in water. Excess of acidified AgNO3 soluti

Find (i) The total number of neutrons and (ii) The total mass of neutron in 7 mg of 14C (Assume that mass of neutron =

(a) 1 litre of a mixture of CO and CO2 is taken. This mixture is passed through a tube containing red hot charcoal. The

(i). A sample of MnSO4.4H2O is strongly heated in air. The residue is Mn3O4. (ii). The residue is dissolved in 100 ml of

(a) One litre of a sample of hard water contains 1 mg of CaCl2 and 1 mg of MgCl2. Find the total hardness in terms of pa

Which of the following compounds are covalent?

The total number of electrons that take part in forming the bond in N2 is

Which of the following is soluble in water?

Anhydrous MgCl2 is obtained by hydrated salt with ______.

Calcium is obtained by

HCL is added to the following oxides. Which one would give H2O2?

Explain the following in not more than two sentenses. A solution of FeCl3 in water gives a brown precipitate on standin

Compound A is a light green crystalline solid. It gives the following tests : (i) It dissolves in dilute sulphuric acid.

The probability that an event $$A$$ happens in one trial of an experiment is $$0.4.$$ Three independent trials of the ex

Two events $$A$$ and $$B$$ have probabilities $$0.25$$ and $$0.50$$ respectively. The probability that both $$A$$ and $$

The equation $$\,2{\cos ^2}{x \over 2}{\sin ^2}x = {x^2} + {x^{ - 2}};\,0 < x \le {\pi \over 2}$$ has

$$ABC$$ is a triangle with $$AB=AC$$. $$D$$ is any point on the side $$BC$$. $$E$$ and $$F$$ are points on the side $$AB

Given $$A = {\sin ^2}\theta + {\cos ^4}\theta $$ then for all real values of $$\theta $$

The smallest positive integer n for which $${\left( {{{1 + i} \over {1 - i}}} \right)^n} = 1$$ is

Find the real values of x and y for which the following equation is satisfied $$\,{{(1 + i)x - 2i} \over {3 + i}} + {{(2

Given $$\alpha + \beta - \gamma = \pi ,$$ prove that $$\,{\sin ^2}\alpha + {\sin ^2}\beta - {\sin ^2}\gamma = 2\s

Given $$A = \left\{ {x:{\pi \over 6} \le x \le {\pi \over 3}} \right\}$$ and $$f\left( x \right) = \cos x - x\left( {

For all $$\theta $$ in $$\left[ {0,\,\pi /2} \right]$$ show that, $$\cos \left( {\sin \theta } \right) \ge \,\sin \,\le

Let $$y = \sqrt {{{\left( {x + 1} \right)\left( {x - 3} \right)} \over {\left( {x - 2} \right)}}} $$ Find all the real

Given $${n^4} < {10^n}$$ for a fixed positive integer $$n \ge 2,$$ prove that $${\left( {n + 1} \right)^4} < {10^{

For what values of $$m,$$ does the system of equations $$$\matrix{ {3x + my = m} \cr {2x - 5y = 20} \cr } $

Find the solution set of the system $$$\matrix{ {x + 2y + z = 1;} \cr {2x - 3y - w = 2;} \cr {x \ge 0;\,y

Both the roots of the equation (x - b) (x - c) + (x - a) (x - c) + (x - a) (x - b) = 0 are always

The least value of the expression $$2\,\,{\log _{10}}\,x\, - \,{\log _x}(0.01)$$ for x > 1, is

If $$\,({x^2} + px + 1)\,$$ is a factor of $$(a{x^3} + bx + c)$$, then

The interior angles of a polygon are in arithmetic progression. The smallest angle is $${120^ \circ }$$, and the common

The point $$\,\left( {4,\,1} \right)$$ undergoes the following three transformations successively. Reflection about the

A straight line $$L$$ is perpendicular to the line $$5x - y = 1.$$ The area of the triangle formed by the line $$L$$ and

A square is inscribed in the circle $${x^2} + {y^2} - 2x + 4y + 3 = 0$$. Its sides are parallel to the coordinate axes.

Two circles $${x^2} + {y^2} = 6$$ and $${x^2} + {y^2} - 6x + 8 = 0$$ are given. Then the equation of the circle through

Given $$y = {{5x} \over {3\sqrt {{{\left( {1 - x} \right)}^2}} }} + {\cos ^2}\left( {2x + 1} \right)$$; Find $${{dy} \ov

$$ABC$$ is a triangle, $$P$$ is a point on $$AB$$, and $$Q$$ is point on $$AC$$ such that $$\angle AQP = \angle ABC$$. C

$$ABC$$ is a triangle with $$\angle B$$ greater than $$\angle C.\,D$$ and $$E$$ are points on $$BC$$ such that $$AD$$ is

In a $$\Delta ABC,\,\angle A = {90^ \circ }$$ and $$AD$$ is an altitude. Complete the relation $${{BD} \over {BA}} = {{A

$$ABC$$ is a triangle. $$D$$ is the middle point of $$BC$$. If $$AD$$ is perpendicular to $$AC$$, then prove that $$$\c

(i) $$PQ$$ is a vertical tower. $$P$$ is the foot and $$Q$$ is the top of the tower. $$A, B, C$$ are three points in the

Give the MKS units for each of the following quantities. (i) Young's modulus (ii) Magnetic Induction (iii) Power of a le

A rocket moves forward by pushing the surrounding air backwards.

A block of mass 2 kg rests on a rough inclined plane making an angle of $$30^\circ $$ with the horizontal. The coefficie

A ship of mass 3 $$ \times $$ 107 kg initially at rest, is pulled by a force of 5 $$ \times $$ 104 N through a distance

Two masses of 1gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitude of their linear momentum i

If a machine is lubricated with oil