The triad of nuclei that is isotonic is

The equivalent weight of MnSO4 is half of its molecular weight, when it converts to

In which mode of expression, the concentration of a solution remains independent of temperature?

A sugar syrup of weight 214.2 g contains 34.2 g of sugar (C12H22O11). Calculate (i) molal concentration and (ii) mole fr

A sample of hydrazine sulphate (N2H6SO4) was dissolved in 100 ml. of water, 10 ml of this solution was reacted with exce

The uncertainty principle and the concept of wave nature of matter were proposed by ______ and ______ respectively. (Hei

The wavelength of a spectral line for an electronic transition is inversely related to :

The outermost electronic configuration of the most electronegative element is

The first ionisation potential of Na, Mg, Al and Si are in the order

The statements that are true for the long form of the periodic table are:

The molecule that has linear structure is

The species in which the central atom uses sp2 hybrid orbitals in its bonding is

Arrange the following : N2, O2, F2, Cl2 in increasing order of bond dissociation energy

Write down the balanced equation for the reaction when: Carbon dioxide is passed through a concentrated aqueous solution

Urn $$A$$ contains $$6$$ red and $$4$$ black balls and urn $$B$$ contains $$4$$ red and $$6$$ black balls. One ball is d

One hundred identical coins, each with probability, $$p,$$ of showing up heads are tossed once. If $$0 < p < 1$$ a

For two given events $$A$$ and $$B,$$ $$P\left( {A \cap B} \right)$$

A box contains $$2$$ fifty paise coins, $$5$$ twenty five paise coins and a certain fixed number $$N\,\,\left( { \ge 2}

The components of a vector $$\overrightarrow a $$ along and perpendicular to a non-zero vector $$\overrightarrow b $$ ar

Let $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c ,$$ be three non-coplanar vectors and $$\overrightarrow p

Let $$OA$$ $$CB$$ be a parallelogram with $$O$$ at the origin and $$OC$$ a diagonal. Let $$D$$ be the midpoint of $$OA.

Evaluate $$\int\limits_0^1 {\log \left[ {\sqrt {1 - x} + \sqrt {1 + x} } \right]dx} $$

If $$P=(1, 0),$$ $$Q=(-1, 0)$$ and $$R=(2, 0)$$ are three given points, then locus of the point $$S$$ satisfying the rel

For any two complex numbers $${z_1},{z_2}$$ and any real number a and b. $$\,{\left| {a{z_1} - b{z_2}} \right|^2} + {\le

The cube roots of unity when represented on Argand diagram form the vertices of an equilateral triangle.

The values of $$\theta $$ lying between $$\theta = \theta $$ and $$\theta = \pi /2$$ and satisfying the equation $$\l

Solve $$\left| {{x^2} + 4x + 3} \right| + 2x + 5 = 0$$

Total number of ways in which six ' + ' and four ' - ' signs can be arranged in a line such that no two ' - ' signs occu

There are four balls of different colours and four boxes of colours, same as those of the balls. The number of ways in w

Let $$R$$ $$ = {\left( {5\sqrt 5 + 11} \right)^{2n + 1}}$$ and $$f = R - \left[ R \right],$$ where [ ] denotes the grea

The sum of the first n terms of the series $${1^2} + {2.2^2} + {3^2} + {2.4^2} + {5^2} + {2.6^2} + .........$$ is $$n\,

Sum of the first n terms of the series $${1 \over 2} + {3 \over 4} + {7 \over 8} + {{15} \over {16}} + ............$$ is

If the first and the $$(2n-1)$$st terms of an A.P., a G.P. and an H.P. are equal and their $$n$$-th terms are $$a,b$$

The lines $$2x + 3y + 19 = 0$$ and $$9x + 6y - 17 = 0$$ cut the coordinates axes in concyclic points.

The value of the expression $$\sqrt 3 \,\cos \,ec\,{20^0} - \sec \,{20^0}$$ is equal to

Lines$${L_1} = ax + by + c = 0$$ and $${L_2} = lx + my + n = 0$$ intersect at the point $$P$$ and make an angle $$\theta

If the circle $${C_1}:{x^2} + {y^2} = 16$$ intersects another circle $${C_2}$$ of radius 5 in such a manner that common

If a circle passes through the point (a, b) and cuts the circle $${x^2}\, + \,{y^2}\, = \,{k^2}$$ orthogonally, then the

The equations of the tangents drawn from the origin to the circle $${x^2}\, + \,{y^2}\, - \,2rx\,\, - 2hy\, + {h^2} = 0$

If $${y^2} = P\left( x \right)$$, a polynomial of degree $$3$$, then $$2{d \over {dx}}\left( {{y^3}{{{d^2}y} \over {d{x^

If the angles of a triangle are $${30^ \circ }$$ and $${45^ \circ }$$ and the included side is $$\left( {\sqrt 3 + 1} \

A sign -post in the form of an isosceles triangle $$ABC$$ is mounted on a pole of height $$h$$ fixed to the ground. The

Investigate for maxima and minimum the function $$$f\left( x \right) = \int\limits_1^x {\left[ {2\left( {t - 1} \right

The integral $$\int\limits_0^{1.5} {\left[ {{x^2}} \right]dx,} $$ Where [ ] denotes the greatest integer function, equa

The value of the integral $$\int\limits_0^{2a} {[{{f\left( x \right)} \over {\left\{ {f\left( x \right) + f\left( {2a -

Find the area of the region bounded by the curve $$C:y=$$ $$\tan x,$$ tangent drawn to $$C$$ at $$x = {\pi \over 4}$$

In the formula X = 3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y

A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15

Two bodies M and N of equal masses are suspended from two separate massless springs of spring constant k1 and k2 respect