Home
Class 12
MATHS
The two circles x^2+""y^2=""a x and x^2+...

The two circles `x^2+""y^2=""a x` and `x^2+""y^2=""c^2(c"">""0)` touch each other if : (1) `2|a|""=""c` (2) `|a|""=""c` (3) `a""=""2c` (4) `|a|""=""2c`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|13 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|21 Videos

Similar Questions

Explore conceptually related problems

The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch each other, if |(c )/(a )| is equal to

If the circles x^(2)+y^(2)=9 and x^(2)+y^(2)+8y+C=0 touch each other,then c is equal to

If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2) touch each other, then

If two circles x^(2) + y^(2) - 2ax + c = =0 and x^(2) + y^(2) - 2by + c = 0 touch each other , then c =

If the circles x^2+y^2+2ax+c=0 and x^2+y^2+2by+c=0 touch each other , prove that c is always positive .

If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(2) , where a, c gt 0 , touch each other intenally , then :