Home
Class 12
MATHS
Find the equation of the circle passing ...

Find the equation of the circle passing through `(1,0)a n d(0,1)` and having the smallest possible radius.

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • BIONOMIAL THEOREM

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

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the cirrle passing through (1,0) and (0,1) and having the smallest possible radius.

The equation of the circle passing through (1, 0) and (0, 1) and having smallest possible radius is : (A) 2x^2 + y^2 - 2x-y=0 (B) x^2 + 2y^2 - x - 2y = 0 (C) x^2 = y^2 - x - y = 0 (D) x^2 + y^2 + x + y = 0

Knowledge Check

  • The equation of the circle passing through the point (1,0) and (0,1) and having the smallest radius is

    A
    `x ^(2) + y^(2) - 2x - 2y + 1=0`
    B
    `x ^(2) + y^(2) -x -y =0`
    C
    `x ^(2) + y^(2) + 2x + 2y -7=0`
    D
    `x ^(2) + y^(2) + x+ y -2=0`

  • The equation of the circle passing through (2,0) and (0,4) and having the minimum radius is

    A
    `x^(2)+y^(2)+2x+4y=0`
    B
    `x^(2)+y^(2)-2x+4y=0`
    C
    `x^(2)+y^(2)-2x-4y=0`
    D
    `x^(2)+y^(2)+2x-4y=0`

  • Equation of circle passing through (-2,0),(4,0) , and having radius 5, is

    A
    ` x^(2) + y^(2) pm 2x+ 8y - 8= 0 `
    B
    `x^(2) + y^(2) - 2x pm 8y -8 = 0 `
    C
    `x^(2) + y^(2) + 2x - 8y pm 8 = 0 `
    D
    `x^(2) + y^(2) + 2x = 0`

    • Similar Questions

    Explore conceptually related problems

    The equation of the circle passing through (0,0)(a,0)(0,b) is

    The equation of the circle passing through the point (1,1)

    The equation of the circle passing through (2,0) and (0,4) and having minimum radius is

    Find the equation of the circle which passes through (1,0) and (0,1) and has its radius as small as possible.

    The equation of the circle which passes through (1,0) and (0,1) and has its radius as small as possible,is

    Home
    Profile