R.K. Singh Solutions for Chapter: SSC Advanced Maths. : Previous Years Solved Papers, Exercise 10: SSC LDC Exam. : 04.11.2012

There are two points $\mathrm{P}$ and $\mathrm{Q}$ in the same direction of a tower and are at $\mathrm{a}$ and $\mathrm{b}$ distances respectively. The angle of elevations of top of the from those points are complementary. Then height of the tower is

The area of the triangle made by straight line $3\mathrm{x}+4\mathrm{y}=12$ in $1\mathrm{st}$ quadrant is

If L.C.M. and H.C.F of two algebraic expressions $\mathrm{x}$ and $\mathrm{y}$ are $\mathrm{A}$ and $\mathrm{B}$ respectively. If $\mathrm{A}+\mathrm{B}=\mathrm{x}+\mathrm{y}$, then the value of ${\mathrm{A}}^3+{\mathrm{B}}^3$ will be

If $\mathrm{x}>1$ and ${\mathrm{x}}^2+\frac{1}{{\mathrm{x}}^2}=83$, then ${\mathrm{x}}^3-\frac{1}{{\mathrm{x}}^3}=?$

If ${\left(\mathrm{a}+\frac{1}{\mathrm{a}}\right)}^2=3$, then ${\mathrm{a}}^3+\frac{1}{{\mathrm{a}}^3}$ is equal to

If internal bisectors of $\angle \mathrm{ABC}$ and $\angle \mathrm{ACB}$ of a triangle $\mathrm{ABC}$ meet at $\mathrm{O}$ and $\angle \mathrm{BAC}=80°$, then $\angle \mathrm{BOC}$ is equal to

If $\mathrm{O}$ is the incentre of $∆\mathrm{ABC}$ and $\angle \mathrm{BOC}=116°$, then $\angle \mathrm{BAC}$ will be equal to

If the area of a circumcircle of an equilateral $\mathrm{\Delta }$ is $3{\mathrm{\pi cm}}^2.$ Then the perimeter of the triangle will be