1 mole of Rhombic sulphur is treated with conc. HNO3 find the mass of H2O formed
Let m and n be two positive integers greater than 1.If α→0limαmecosαn−e=−(2e) then the value of nm is
let L be a straight line passing through the origin. Suppose that all the points on L are at a constant distance from the two planes P1:x+2y−z+1=0 and P2:2x−y+z−1=0, Let M be the locus of the feet of the perpendiculars drawn from the points on L to the plane P1. Which of the following points lie(s) on M?
For a∈R (the set of all real numbers), a=−1),(lim)n→∞((n+1)a−1[(na+1)+(na+2)+……(na+n)]1a+2a++na=60.1Then a=(a)5 (b) 7 (c) 2−15 (d) 2−17
Which of the following is (are) NOT the square of a 3×3 matrix with real entries? (a)⎣⎡10001000−1⎦⎤ (b) ⎣⎡−1000−1000−1⎦⎤ (c)⎣⎡100010001⎦⎤ (d) ⎣⎡1000−1000−1⎦⎤
Let x, y and z be three vectors each of magnitude V2 tion on and the angle between each pair of them is E. If a is a let non-zero vector perpendicular to x and yx z and b is a non-zero tor perpendicular to y and z x x, then 1.
Let m be the smallest positive integer such that the coefficient of x2 in the expansion of (1+x)2+(1+x)3+(1+x)4+……..+(1+x)49+(1+mx)50 is (3n+1).51C3 for some positive integer n. Then the value of n is
Let E1 and E2, be two ellipses whose centers are at the origin.The major axes of E1 and E2, lie along the x-axis and the y-axis, respectively. Let S be the circle x2+(y−1)2=2. The straight line x+ y =3 touches the curves S, E1 and E2 at P,Q and R, respectively. Suppose that PQ=PR=322.If e1 and e2 are the eccentricities of E1 and E2, respectively, then the correct expression(s) is(are):