Ionization energies of five elements in kcal/mol are given below:

The element having most stable oxidation state +2 is ?

If line – + = touches ellipse + = 1 then its eccentric angle  is

the general coordinates of an ellipse are substituted into the equation of ellipse to find the general equation of tangent of an ellipse. the angle lies in the 2nd quadrant so the cosine is negative but the sine is positive of the angle.

If latus rectum of ellipse x²tan²  + y²sec² = 1 is then  {0 <  < /4} is equal to

the focal chord that is perpendicular to the major axis of the ellipse is called the latus rectum of the ellipse.

At infinite dilution, when the dissociation of electrolyte is complete, each ion makes a definite contribution towards the molar conductance of electrolyte, irrespective of the nature of the other ion with which it is associated.
The molar con conductance of an electrolyte at infinite dilute can be expressed as the sum of the contributions its individual ions.


Where x and y are the number of cations and anions respectively.
Answer the following questions:
Consider the following graph and state which of the following the correct statement is?

1 mol of [AgI]can be coagulated by

A tangent to the ellipse + = 1 is cut by the tangent at the extremities of the major axis at T and T' and the circle on TT' as diameter passes through the point Q, then Q may be -

Tangent is drawn to ellipse at . Then the value of  such that sum of intercepts on axes made by this tangent is minimum, is

The eccentricity of the conic 9x² + 4y² –30y = 0 is

AgNO₃(aq.) was added to an aqueous KCl Solution gradually and the conductivity of the Solution was measured. The plot of conductance versus the volume of AgNO₃ is

Assertion: The molecularity of a reaction is a whole number other than zero, but generally less than
Reason : The order of a reaction is always whole number.

The distance of the point '' on the ellipse from a focus is –

an ellipse has 2 focii at (ae,0 ) and (-ae,0) when the center is (0,0) and the ellipse has the x axis as its major axis. an ellipse is defined as the locus of a point whose sum of the distances from 2 fixed points (focii) is constant.

At will be [Assume that the concentration of hydroquinone and quinine is (1M)]

Statement-I : If a, b, c are three positive numbers in G.P., then 

The relation between AM, GM and HM of a sequence states that (AM)(HM)=GM²

Statement-I : If x₂y₃ = 6(x, y > 0), then the least value of 3x + 4y is 10
Statement-II : If m₁, m₂  N, a₁, a₂ > 0 then  and equality holds when a₁ = a₂.

the AM GM rule is valid for any set of natural numbers, i.e., numbers > 0.

Statement-I : If a, b, c are three distinct positive number in H.P., then 
Statement-II : Sum of any number and it's reciprocal is always greater than or equal to 2.

when some numbers are in HP, then their reciprocals are in AP.

Statement-I : In any ΔABC, maximum value of r₁ + r₂ + r₃ =9R/2.
Statement-II : In any ΔABC, R ≥ 2r.