Mathematics Tes...

The locus of centre of circles which bisect the circumfernce of circle x² + y² = 9 and  x² + y² – 2x – 4y + 2 = 0 is

Tangents are drawn from point (1, 4/5) to parabola  (y-4)² = 8 (x-3) then angle between tangents-

Tangents are drawn from the following points to ellipse  x²/25 + y²/16 = 1. Identify the point from which tangents drawn are at right angle-

 be any square matrix. Then det(adj(adj(adj(adj A)))) =

If 4^th and 7^th term of G.P. are 7! and 8! respectively and sum of first n terms of G.P. is 19530, then n is equal to -

Equation of the normal to the curve  at (1, 3) is : (Where [.] represent greatest integer function)

Let f : R → R be given by  is continuous at x₁, x₂ and x₃ then which of following is incorrect :

The value of  will be (where C is integral constant)

The equation of tangent to parabola x = y² - 2y + 3, which is perpendicular to straight line y = 2x + 3, will be

Let p be the sum of infinite terms of the series 1 + 1/2 + 1/2² + ....∞ and q be the 20^th term of 1, 1, 2, 3, 4, ...., then the quadratic equation whose roots are p & q will be :