Mathematics Tes...

A vector of magnitude 9 and perpendicular to both the vectors 

If x = 9 is the chord of contact of the hyperbola x² - y² = 9, then the equation of the corresponding pair of tangents is

If α, β and γ are the angles which a directed line makes with the positive directions of the co-ordinates axes, then find the value of  sin²α + sin²β + sin²γ.

In an acute - angled triangle ABC, points D, E and F are the feet of the perpendiculars from A, B and C onto BC, AC and AB, respectively. H is the orthocentre of ΔABC. If sin A = 3/5 and BC = 39, then the length of AH is

 then f(x) is equal to

If x is rational and ,⁡  then value of x is equal to

The line x = c cuts the triangle with corners (0, 0), (1, 1) and (9, 1) into two regions. For the area of the two regions to be the same c must be equal to :

The number of solutions of the equation a ^f(x) + g(x) = 0, where a > 0, g (x) ≠ 0  and has least value 1/2 is

The area of the curvilinear triangle bounded by the y-axis & the curve y = tan x & y = (2/3) cos x is