Mathematics Tes...

There are several tea cups in the kitchen, some with handles and other without handles. The number of ways of selecting one cup without a handle and one cup with a handle is exactly 36. Then the minimum possible numbers of cups in the kitchen is equal to

The sum of values of  such that the equation (x + 10) (x – a) + 5 = 0 has integral roots

 for x, y, z > 0 then the least value of (x – 1)(y – 1)(z – 1) is

The number of points in square |x| + |y| = 2 which lie on the curve y = x + cosx and at which the tangent to the curve is parallel to the x-axis is

Let f(x) = max{|x|, x – [x]}, where [.] denotes greatest integer function, then is equal to

Length of the line segment joining the feet of the perpendicular drawn from the point (3, 4) on the pair of lines x² – 4xy + y² = 0 is

Let z₁, z₂, z₃ be the complex numbers such that |z₁ – 1| = |z₂ – 1| = |z₃ – 1| and  then z₂(z₂ – 1) –z₃(z₂ + 1) + (z₃ + 1) (z₃ – 1) =

The curve satisfying the differential equation (2x²y – 2y⁴)dx + (2x³ + 3xy³)dy = 0 and passing through (1, 1) is given by  then the value of m + n is

The real no. x and y satisfying (x – 4)² + (y – 5)² = 7² then the minimum value of