Consider the data on x taking the values 0, 2, 4, 8, .....,2n with frequencies nC0, nC1, nC2… nCn, respectively. If the mean of this data... View Article
1) For an integer n, if n is even, then n3-1 is even 2) For an integer n, if n is odd, then n3-1 is even 3) For an integer n, if n3-1 is not... View Article
1) (11/5, 28/5) 2) (8/5, 29/5) 3) (29/5, 11/5) 4) (29/5, 8/5) Solution: Let (h, k) is the image of the point (-1, -4) in the line x/3 +... View Article
The angle of elevation of the summit of a mountain from a point on the ground is 450. After climbing up one km towards the summit at an... View Article
A plane P meets the coordinate axes at A, B and C respectively. The centroid of a triangle ABC is given to be (1,1,2). Then the equation of the... View Article
For a suitably chosen real constant a, let a function, f:R-{-a}→R be defined by f(x) = (a-x)/(a+x). further suppose that for any real number... View Article
1) cosec x 2) cot x 3) tan x 4) sec x Solution: y = ((2/π)x-1)cosec x Differentiate w.r.t.x (dy/dx) = (2/π)cosec x-((2x/π)-1)cosec x.cot... View Article