Mathematics Tes...

What is obtained when \(4 a-7 a b+3 b+12\) is subtracted from \(12 a-9 a b+5 b-3\)?

The co-ordinates of incentre of ∆ ABC with vertices A(0, 6), B(8, 12) and C(8, 0) is?

If n = 2017 ! then what is 

$\frac{1}{{\log }_{2}n}+\frac{1}{{\log }_{3}n}+\frac{1}{{\log }_{4}n}+....+\frac{1}{{\log }_{2017}n}$ equal to ?

What is the equation of straight line passing through the point $(1,2)$ and parallel to the line $y=3x+1$?

What is $\frac{\sin 5x-\sin 3x}{\cos 5x+\cos 3x}$ equal to?

The equation | 1 - x | + x² = 5 has?

If $\tan (x – y), \tan x$ and $\tan (x + y)$ are in GP, then what is $x$ equal to ?

If $\cos A=\frac{4}{5}$, evaluate $\tan A$.

If α and β are different complex numbers with |α| =1, then what is $\left|\frac{\alpha -\beta }{1-\alpha \beta }\right|$ equal to?

What is the value of the sum

$\sum _{n=2}^{11}\left(i^n+i^{n+1}\right), where i=\sqrt{-1}$ ?