Equationof the chord of the circle $$x^2+y^2-4 x-10 y+25=0$$ having mid-point $$(1,2)$$ is

$$\int \cos ^3 x \cdot e^{\log (\sin x)} d x=$$

The probability distribution of a discrete random variable X is

Find the value of $$\mathrm{P}(2<\mathrm{X}<6)$$

If $$\mathrm{A}=(-2,2,3), \mathrm{B}=(3,2,2), \mathrm{C}=(4,-3,5)$$ and $$\mathrm{D}=(7,-5,-1)$$ Then the projection of $$\overline{\mathrm{AB}}$$ on $$\overline{\mathrm{CD}}$$ is