Home
Class 12
MATHS
Find the condition if the circle whose e...

Find the condition if the circle whose equations are `x^2+y^2+c^2=2a x` and `x^2+y^2+c^2-2b y=0` touch one another externally.

A

`(1)/(b^(2))+(1)/(c^(2))+(1)/(a^(2))`

B

`(1)/(c^(2))+(1)/(a^(2))=(1)/(b^(2))`

C

`(1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))`

D

`(1)/(b^(2))+(1)/(c^(2))+(2)/(a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 7|18 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|16 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

Examine whether the two circles x^2+y^2-2x-4y=0 and x^2+y^2-8y-4=0 touch each other externally or internally .

The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each other

If the circles x^(2) +y^(2) = a and x^(2) + y^(2) - 6x - 8y + 9 = 0 touch externally then a =

Find the equation of the circle concentric with the circle x^2 + y^2 - 4x - 6y - 3 = 0 and which touches the y axis

Find the coordinates of the point at which the circles x^2+y^2-4x-2y+4=0 and x^2+y^2-12 x-8y+36=0 touch each other. Also, find equations of common tangents touching the circles the distinct points.

Find the equation of the circle passing through the intersection of the circles x^2 + y^2-4 = 0 and x^2+y^2-2x-4y+4=0 and touching the line x + 2y=0

The two circles x^(2)+y^(2)=ax, x^(2)+y^(2)=c^(2) (c gt 0) touch each other if

Find the equation of the family of circles touching the lines x^2-y^2+2y-1=0.

Find the equation of the circle which cuts the circles x^2+y^2+4x+2y+1=0, 2(x^2+y^2)+8x+6y-3=0 and x^2+y^2+6x-2y-3=0 orthogonally.

Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in the line x+y-2=0