Mathematics Tes...

If no husband and wife play in the same game, then the number of ways in which a mixed double game can be arranged from among nine married couples is

Which of the following pieces of data does not uniquely determine the acute-angled ΔABC (R = circumradius)?

A chord of the circle x² + y² – 4x – 6y = 0 passing through the origin subtends an angle tan^–1(7/4) at the point where the circle meets the positive y-axis. The equation of the chord is

Find the equation of the line passing through the intersection of the lines x + 2y - 3 = 0 and 4x – y + 7 = 0 and which is parallel to y – x + 10 = 0.

It is given that n arithmetic means are inserted between two sets of numbers a, 2b and 2a, b where a, b ∈ R. If the m^th mean between these two sets of numbers is the same, then a : b equals

If $a,b$ and $c$ are the sides of $\mathrm{\Delta }ABC$ and equations $a{x}^2+bx+c=0$ and $5x^2+12x+13=0$ have both the roots common, then the measure of $\mathrm{\angle }\mathrm{C}$ is

A line which is parallel to the x-axis and crosses the curve y =√x at an angle of 45^o is

For $0<\alpha <\pi ,$ the value of the definite integral ${\int }_0^{1}dx/(x^2+2x\cos \alpha +1)$ is equal to

The coefficient of x^k in the expansion of E = 1 + (1 + x) + (1 + x)² + … + (1 + x)ⁿ is