If A and B are two skew symmetric matrices of order n, then-

The correct order of acidic strength is:

Let E () =. If and differs by an odd multiple of /2,then E() E() is a -

If A is a n rowed square matrix, A = [a_ij] where a_ij= , [ ] denotes greatest integer, then det (A) =

If A = , then A + 2A^T equals -

If is to be square root of two rowed unit matrix then , and  should satisfy the relation

If the matrix M_r is given by M_r = , r = 1, 2, 3 .... Then the value of det (M₁) + det(M₂) + .... + det (M₂₀₀₉) is

The number of solutions of the matrix equationA² = is -

Helium was discovered by:

For a general reaction given, below the value of solubility product can be given as :

or
Solubility product gives us not only an idea about the solubility of an electrolyte in a solvent but also helps in explaining concept of precipitation and calculation of H⁺ ion, OH^- ion. It is also useful in qualitative analysis for the identification and separation of basic radicals.
Which metal sulphides can be precipitated from a solution that is 0.01 M in Na⁺ , Zn²⁺, Pb²⁺ and Cu²⁺ and 0.10 M in H₂S at a pH of 1.0 ?

A weak acid (or base) is titrated against a strong base (or acid), volume v of strong base (or acid) is plotted against pH of the solution. The weak protolyte i.e acid (or base) could be

Let A = and A' . A = I, then the value of is -

If A is a n rowed square matrix, A = [a_ij] where a_ij =, [ ] denotes greatest integer, then det (A) =

If A = and f(x) = 1 + x + x² + … + x¹⁶, then f(A) =

Assertion : The expression n!(20 – n)! is minimum when n = 10.
Reason :   is maximum when r = m.

Let a matrix A = & P = Q = PAP^T where P^T is transpose of matrix P. Find P^T Q²⁰⁰⁵ P is

an invertible matrix gives identity matrix as the product when multiplied with its inverse.