Circles · JEE Main previous year questions

2006 2 questions

1. Q132006 · 29 Apr 2006 · Shift 1

   If the lines $3x-4y-7=0$ and $2x-3y-5=0$ are two diameters of a circle of area $49\pi$ square units, the equation of the circle is :

   1. A.$x^2+y^2+2x-2y-47=0$
   2. B.$x^2+y^2+2x-2y-62=0$
   3. C.$x^2+y^2-2x+2y-62=0$
   4. D.$x^2+y^2-2x+2y-47=0$
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   Answer: D

2. Q142006 · 29 Apr 2006 · Shift 1

   Let $C$ be the circle with centre $(0,0)$ and radius 3 units. The equation of the locus of the mid points of the chords of the circle $C$ that subtend an angle of $\frac{2\pi }{3}$ at its center is :

   1. A.$x^2+y^2=\frac{3}{2}$
   2. B.$x^2+y^2=1$
   3. C.$x^2+y^2=\frac{27}{4}$
   4. D.$x^2+y^2=\frac{9}{4}$
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   Answer: D