Home
Class 9
MATHS
There is one and only circle passing thr...

There is one and only circle passing through three non-collinear points.

Answer

Step by step text solution for There is one and only circle passing through three non-collinear points. by MATHS experts to help you in doubts & scoring excellent marks in Class 9 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Theorem:- 3 There is one and only one circle passing through three non collinear points and If two circles intersects in two points; then the line joining the centres is perpendicular bisector of common chords

Statement 1: The differential equation of all circles in a plane must be of order 3. Statement 2: There is only one circle passing through three non-collinear points.

Knowledge Check

  • How many circles can pass through three non-collinear points?

    A
    one
    B
    two
    C
    zero
    D
    infinitely many

  • How many circles can pass through three collinear points?

    A
    one
    B
    two
    C
    zero
    D
    infinitely many

  • What is the number of planes passing through three non-collinear points?

    A
    3
    B
    2
    C
    1
    D
    0

    • Similar Questions

    Explore conceptually related problems

    Theorem 10.5 : There is one and only one circle passing through three given non-collinear points.

    . The equation of the circle passing through three non-collinear points P(x_(1),y_(1))Q(x_(2),y_(2)) and R(x_(3),y_(3)) is

    The radius of a circle is 5cm. Find the length of its longest chord. (ii) write the method to determine the centre of a circle passing through three non-collinear points. (iii) Arc of a circle is given. How will you complete the circle?

    Find the equation of the circle passing through the three non-collinear points (1,1),(2,-1) and (3,2) .

    What is the number of planes passing through three non - collinear points ?

    Home
    Profile