XeF4+O2F2→ product. The total number of lone pairs on the xenon containing product is : (I)
Let PQ be a focal chord of the parabola y2=4ax The tangents to the parabola at P and Q meet at a point lying on the line y=2x+a,a>0. Length of chord PQ is
Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length 27 on y-axis is (are)
Let f:R→R,g:R→Randh:R→R be the differential functions such that f(x)=x3+3x+2,g(f(x))=xandh(g(g(x)))=x,forallx∈R.Then (a)g'(2)=151 (b)h'(1)=666 (c)h(0)=16 (d)h(g(3))=36
Let PR=3i^+j^−2k^andSQ=i^−3j^−4k^determine diagonals of a parallelogram PQRS,andPT=i^+2j^+3k^be another vector. Then the volume of the parallelepiped determine by the vectors PT, PQand PSis5b. 20c. 10d. 30
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?
Let MandN be two 3×3 matrices such that MN=NM˙ Further, if M=N2andM2=N4, then Determinant of (M2+MN2) is 0 There is a 3×3 non-zeero matrix U such tht (M2+MN2)U is the zero matrix Determinant of (M2+MN2)≥1For a 3×3 matrix U,if(M2+MN2)U equal the zero mattix then U is the zero matrix
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.