Home
Class 11
MATHS
Does the point (-2.5,3.5) lie inside, ou...

Does the point `(-2.5,3.5)` lie inside, outside or on the circle `x^2+y^2=25 ?`

Text Solution

Verified by Experts

. x^2+y^2=25 rarr(x-0)^2+(y-0)^2=5^2 .. Centre .(0,0). and radius .5 .. Distance between the centre and the point .(-2.5,3.5).. .. =sqrt(-2.5-0)^2+(3.5-0)^2=sqrt(-2.5)^2+(3.5)^2=sqrt6.25+12.25=sqrt18.5=4.30 .. The distance is less than radius. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos

  • INTRODUCTION TO THE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise Question Bank|45 Videos

Similar Questions

Explore conceptually related problems

The centre of the circle is thé origin and the radius is 13. a) . Check whether each of the points '(12,5),(10,6)' is inside, outside or on the circle. b) Write the coordintes of two other points on the circle.

A circle with, centre (3,2) passes through the point (6,3) . a) What is the radius of the circle? b) Check whether each of the points with coordinates (0 , 2),(3,6),(0,3) is inside, outside or on the circle.

Knowledge Check

  • If P and Q are the points of intersection of the circles x^(2) + y^(2) + 3x + 7y + 2p - 5 = 0 and x^(2) + y^(2) + 2x + 2y- p^(2) = 0 , then there is a circle passing through P, Q, and (1,1) for

    A
    all values of p.
    B
    all except one value of p.
    C
    all except two values of p.
    D
    exactly one value of p.

  • Consider a family of circles passing through two fixed points A (3,7) and B(6,5) . The chords in which the circle x^(2) + y^(2) - 4 x - 6y - 3 = 0 cuts the members of the family are concurrent at a point the coordinates of this points are

    A
    (2,1)
    B
    `(2, (23)/(3))`
    C
    (3,2)
    D
    (4,3)

    • Similar Questions

    Explore conceptually related problems

    A circle of radius 10 is drawn with the origin as centre, i) Check whether, each of the' points with coordinates '(6,9),(5,9),(6 , 8)' is inside, outside or on the circle. ii) Write the coordinates of 8 points on this circle.

    Find the centre of the circle x^2+y^2-5x+2y-48=0

    The line 2 x - y + 1 = 0 is tangent to the circle at the point (2,5) and the center of the circle lies on x - 2y = 4 . Then find the radius of the circle

    The point diametrically opposite to the point (1,0) on the circle x^(2) + y^(2) + 2x + 4y - 3 = 0 is

    Prove that (5,6) lies on the circle x^2+y^2-5x+2y-48=0

    Find the centre and radius of the circles (x+5)^2+(y-3)^2=36 .

    Home
    Profile