If x - 2y + k = 0 is a tangent to the parabola y2 - 4x - 4y + 8 = 0, then the value of k is
If x+√3y = 3 is the tangent to the ellipse 2x2 + 3y2 = k at a point P then the equation of the normal to this ellipse at P is
In a triangle BC, if the mid points of sides AB, BC, CA are (3,0,0), (0,4,0),(0,0,5) respectively, then AB2 + BC2 + CA2 =
lim n→∞ \(\frac{1}{n^3} \)
The ore which is purified by leaching process is:
The ratio of lone pair of electrons to bond pair of electrons in ozone molecule is:
Consider the following statements about the oxides of halogens A. At room temperature, OF2; is thermally stable B. Order of stability of oxides of halogens is I > Br > Cl C. I2O5 is used in the estimation of CO D. ClO2; is used as a bleaching agent The correct statements are
XeF4 + O2F2 → X + O2 X + H2O → Y +2HF The shape of the molecules of X and Y respectively are:
Which of the following can form iconic micelles in water?
A current of 15.0 amperes is passed through a solution of CrCl2, for 45 minutes. The volume of Cl2 , (in I) obtained at the anode at 1 atm and 273 K is around (IF=96500 Cmol-1, At. wt. of Cl=35.5, R=0.082 L-atmK-1 mol-1)
Among the following the incorrect statement about transition metals is
The alkali metal with the lowest E M- M+ (V) is X and the alkali metal with highest E M- M+ is Y. Then X and Y are respectively:
The aromatic compound/species with maximum number of x - electrons is
The formula of a metal oxide is M0.96 O1. The fractions of metal that exists as M3+and M2+ ions in that oxide are respectively
At 50 °C, the vapour pressure of pure benzene is 268 torr. The number of moles of non-volatile solute per mole of benzene required to prepare a solution having a vapour pressure of 167 torr at the same temperature is
The rate law for the decomposition of hydrogen iodide is - = d[HI]/dt = k[HI]2. The units of rate constant k are:
Aluminum reacts with dilute HCL and liberates a gas 'A' and with aqueous alkali liberates a gas 'B'. A and B respectively are
An alkene X on ozonolysis gives a mixture of Propan-2-one and methanal. What is X?
Identify the correct statement about the oxidation states of group 14 elements
The hybrids of which group elements of the periodic table form electron precise hybrids?
The rate of diffusion of a gas A is √5 times more than of gas B. If the molar mass of A is x gmol-1, the molar mass of B ( in g mole-1) is
Which one of the following has the same number of atoms as are in 6g of H2O
According to MO theory, the molecule which contain only π-Bonds between the atoms is
For the reaction at 25° C, X2O4 (l) → 2XO2(g), U and S are 2.1 K.Cal and 20 Cal/K respectively. what is G for the reaction at the same temperature? (R = 2 CAL K-1MOL-1)
In which if the following changes there is no change in hybridization of the central atom?