Plz solve ques 3 3) Find equation of O which is concentrate with the O - Maths - Conic Sections

Question

Plz solve ques 3
3) Find equation of O which is concentrate with the O
3 x 2   +   3 y 2   -   12 x   - 18 y
  - 5   = 0   &   w i t h o u t   t o
u c h e s   y - a x i s

Lovina Kansal · Accepted Answer

Dear student
Standard equation of circle is:x2+y2+2gx+2fy+c=0Given circle is:C:3x2+3y2-12x-18y-5=0⇒x2+y2-4x-6y-53=0Centre=(-g,-f)=--42,--62=2,3When circle touches Y-axisradius (r)=g=-6=2Another equation of circle is:x-h2+(y-k)2=r2   where (h,k) is centre and r is the radiusHence our required circle will be:x-22+(y-3)2=22⇒x2+4-4x+y2+9-6y=4⇒x2+y2-4x-6y+9=0
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Plz.solve ques 3 3). Find equation of O which is concentrate with the O 3 x 2 + 3 y 2 - 12 x - 18 y - 5 = 0 & w i t h o u t t o u c h e s y - a x i s

Plz.solve ques 3
3). Find equation of O which is concentrate with the O
$3 x^{2} + 3 y^{2} - 12 x - 18 y - 5 = 0 & w i t h o u t t o u c h e s y - a x i s$