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.

Statement-I : If 27 abc ≥ (a + b + c)³ and 3a + 4b + 5c = 12 then  where a, b, c are positive real numbers.
Statement-II : For positive real numbers A.M. ≥ G.M.

a,b,c are positive real numbers
=>  AM>= GM can be applied to these numbers
for real and positive numbers, we can use the property AM>=GM

Statement-I : Minimum value of  
Statement-II : The least value of a sin q + b cosq is 

At point of intersection of the two curves shown, the conc. of B is given by …….. For,:

Following is the graph between log and log a (a initial concentration) for a given reaction at 27^oC. Hence, order is

Statement-I : Circumradius and inradius of a triangle can not be 12 and 8 respectively.
Statement-II : Circumradius ≥ 2 (inradius)

The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed

inradius is the radius of the circle inscribed inside a polygon.

Statement-I : For n  N, 2n > 1 + n 
Statement-II : G.M. > H.M. and (AM) (HM) = (GM)2

for real and positive numbers, we can use the property AM>=GM
the statement 2 doesn't have any connection with statement 1

Statement-I : 1, 2, 4, 8, ......... is a G.P., 4, 8, 16, 32 is a G.P. and 1 + 4, 2 + 8, 4 + 16, 8 + 32, ....... is also a G.P.
Statement-II : Let general term of a G.P. (with positive terms) with common ratio r be Tk + 1 and general term of another G.P. (with positive terms) with common ratio r be T'k + 1, then the series whose general term T''k + 1 = Tk + 1 + T'k + 1 is also a G.P. with common ratio r.

the mathematical reasoning can be proved by observing the term of the sequences

Let p, q, r  R+ and 27 pqr ≥ (p + q + r)³ and 3p + 4q + 5r = 12 then p³ + q⁴ + r⁵ is equal to -

for real and positive numbers, we can use the property AM>=GM

For the chemical reaction , the rate of formation of  is 0.04 mole lit^-1sec^-1. Determine the rate of disappearance of