Consider the planes $$3 x-6 y-2 z=15$$ and $$2 x+y-2 z=5$$.

STATEMENT - 1 : The parametric equations of the line of intersection of the given planes are $$x=3+14 t, y=1+2 t, z=15 t$$

STATEMENT - 2 : The vectors $$14 \hat{i}+2 \hat{j}+15 \hat{k}$$ is parallel to the line of intersection of the given planes.

STATEMENT - 1 : The curve $$y=\frac{-x^{2}}{2}+x+1$$ is symmetric with respect to the line $$x=1$$.

STATEMENT - 2 : A parabola is symmetric about its axis.

Let $$f(x)=2+\cos x$$ for all real $$x$$.

STATEMENT - 1 : For each real $$t$$, there exists a point $$c$$ in $$[t, t+\pi]$$ such that $$f^{\prime}(C)=0$$.

STATEMENT - 2 : $$f(t)=f(t+2 \pi)$$ for each real $$t$$.

Lines $$\mathrm{L}_{1}: y-x=0$$ and $$\mathrm{L}_{2}: 2 x+y=0$$ intersect the line $$\mathrm{L}_{3}: y+2=0$$ at $$\mathrm{P}$$ and $$\mathrm{Q}$$, respectively. The bisector of the acute angle between $$L_{1}$$ and $$L_{2}$$ intersects $$L_{3}$$ at $$R$$.

STATEMENT - 1 : The ratio PR : RQ equals $$2 \sqrt{2}: \sqrt{5}$$.

STATEMENT - 2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.