R.K. Singh Solutions for Chapter: SSC Advanced Maths. : Previous Years Solved Papers, Exercise 9: SSC LDC Exam. : 28.10.2012

If $\angle \mathrm{A}$ and $\angle \mathrm{B}$ are complementary angles then ${\sec }^2\mathrm{A}+{\sec }^2\mathrm{B}-{\sec }^2\mathrm{A}.{\sec }^2\mathrm{B}$ is

If $2\left({\cos }^2\mathrm{\theta }-{\sin }^2\mathrm{\theta }\right)=1$ and $\theta$ is a positive acute angle, then the value of $\theta$ will be

If $\mathrm{x}=2+\sqrt{3}$, then the value of ${\mathrm{x}}^2-4\mathrm{x}+2$ will be

What will be the circumradius of triangle formed by straight line $3x+4y=12$ and co-ordinate axis?

If ${\mathrm{a}}^2+{\mathrm{b}}^2-{\mathrm{c}}^2=0$, then $\frac{{\mathrm{a}}^6+{\mathrm{b}}^6-{\mathrm{c}}^6}{{\mathrm{a}}^2{\mathrm{b}}^2{\mathrm{c}}^2}$ is equal to

If $\mathrm{P}$ and $\mathrm{Q}$ are the midpoint of sides $\mathrm{AB}$ and $\mathrm{AC}$ of a triangle $\mathrm{ABC}$ respectively. $\mathrm{X}$ is any other point on $\mathrm{BC}$ and $\mathrm{AX}$ and $\mathrm{PQ}$ meet at point $\mathrm{O}.$ Then the length of $\mathrm{AO}$ will be equal to

$\mathrm{ABCD}$ is a parallelogram in this $\mathrm{AB}=10 \mathrm{cm}, \mathrm{AD}=6 \mathrm{cm}.$ Angle bisector of $\angle \mathrm{A}$ meets $\mathrm{DC}$ at $\mathrm{E}$ and after extending meets $\mathrm{BC}$ at $\mathrm{F}.$ Then the length of $\mathrm{CF}$ will be

The radius of a circle is $13 \mathrm{cm}. \mathrm{AB}$ is a chord of this circle which is $12 \mathrm{cm}$ distant from centre. Then length of the chord will be