Locus of a variable point P (x,y) is given by \((x^3+ y^3+3xy) = 1\) where \((x,y) ≠ (-1,-1)\) then equation of circle touching the locus of P at (-1,2) and Passing through (1,-2) is given by
(A) \((x^2+ y^2+ 2x+ y - 5) = 0\)
(B) \((x^2+ y^2+ 12x+ 6y - 5) = 0\)
(C) \((x^2+ y^2+ 4x+ 2y - 5) = 0\)
(D) \((x^2+ y^2- 4x- 2y - 5) = 0\)
The sum of the series ..................... up to n terms is
If ax + y – 16 = 0 and x + ay – 6 = 0 represents two adjacent sides of a rhombus whose diagonals intersect at (3,5) then sum of possible value of a is.
Which of the following atom/s has low ionization energy than nitrogen atom?
Select reaction(s) which will favor will forward direction
(D) None of these
Choose correct statements
(A) The Bond dissociation energy of C2 decrease on forming and increases on forming
(B) Formation of from O2 electrons is removed from gerade bonding molecular orbital.
(C) HOMO of F2 is gerade while LUMO of Cl2 is ungerade
(D) In Halogen colour intensity increase F2 to I2
Select an option having incorrect major product?