Mathematics Tes...

Let A(1,3), B(a,b), C(4,7) are collinear points and x, then k CANNOT be-

If a circle passes through point (1, 1) and cuts the circle x² + y² = 8 orthogonally, then the locus of its centre is -

If the two parabolas y² = 4x and y² = (x – k) have a common normal other than x-axis, then value of K cannot be -

Let S = 0 be an ellipse whose vertices are the extremities of minor axis of the ellipse . If S = 0 passes through the foci of E, then its eccentricity is (considering the eccentricity of E as e)

Value of 

The smallest positive root of the equation  is equal to -

Let A_i, i = 1,2,3,......10 be vertices of regular decagon P. If area of polygon P is 5 sin (π/5) square  units then the value of (A₁A₂)(A₁A₃)(A₁A₄)......(A₁A₁₀) is-

If A = {1, 3, 5, 7, 9, 11},

B = {2, 4, 6, 8, 10, 12},

U is universal set, then A' ∪ ((A ∪ B) ∩ B') is-

Let I be the set of positve integers. R is a relation on the set I given by R = {(a,b) ∈ I × I | log₂ (a/b) is a non-negative integer}, then R is