Mathematics Questions

2. If $y =e^{\log_e[1+x+x^2+.........]}$, then $\frac {dy}{dx}$=

KCET 2012 Continuity and Differentiability

6. The amplitude of $\frac {1+i\sqrt{3}} {\sqrt {3}+i}$ is .................

KCET 2005 Complex Numbers and Quadratic Equations

13. The equation $x^{\frac{3}{4}(\log_2 x)^2+\log_2x-\frac{5}{4}=\sqrt 2}$ has

IIT JEE 1989 Complex Numbers and Quadratic Equations

16. If Z= $\frac {(\sqrt {3}+ i)^3 (3i+4)^2}{{(8+6i)^2}}$ then |Z| is equal to

KCET 2015 Complex Numbers and Quadratic Equations

25. The distance of the point P(a, b, c) from the x-axis is

KCET 2014 Three Dimensional Geometry