Circles · JEE Main previous year questions

2010 2 questions

1. Q72010 · 25 Apr 2010 · Shift 1

   The circle $x^2+y^2=4x+8y+5$ intersects the line $3x-4y=m$ at two distinct points if :

   1. A.$-35<m<15$
   2. B.$15<m<65$
   3. C.$35<m<85$
   4. D.$-85<m<-35$
   Show answer

   Answer: A

2. Q262010 · 25 Apr 2010 · Shift 1

   For a regular polygon, let $r$ and $R$ be the radii of the inscribed and the circumscribed circles. A false statement among the following is :

   1. A.There is a regular polygon with $\frac{r}{R}=\frac{1}{\sqrt{2}}$
   2. B.There is a regular polygon with $\frac{r}{R}=\frac{2}{3}$
   3. C.There is a regular polygon with $\frac{r}{R}=\frac{\sqrt{3}}{2}$
   4. D.There is a regular polygon with $\frac{r}{R}=\frac{1}{2}$
   Show answer

   Answer: B