Home
Class 11
MATHS
The circle 4x^(2) + 4 y^(2) = 25 cuts th...

The circle `4x^(2) + 4 y^(2) = 25` cuts the line 3x + 4y - 10 = 0 at A and B. Calculate the coordinates of Aand B.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the tangent at (3,-4) to the circle x^2 +y^2 -4x + 2y-5 =0 cuts the circle x^2 +y^2+16x + 2y +10=0 in A and B then the midpoint of AB is

For the circle x^(2)+y^(2)-2x-4y-4=0 , then lines 2x+3y-1=0, 2x+y+5=0 are

Knowledge Check

  • If one end of a diameter of the circle x^(2) + y^(2) - 4x - 6y + 11 = 0 is (3, 4), then the coordinates of the other end of the diameter are

    A
    (a) (2,1)
    B
    (b) (-2,1)
    C
    (c) (1,2)
    D
    (d) (-1,-2)

    • Similar Questions

    Explore conceptually related problems

    If the circle x^2 + y^2 + 2x - 2y + 4 = 0 cuts the circle x^2 + y^2 + 4x - 2fy +2 = 0 orthogonally, then f =

    The circle x^2+y^2=4 cuts the circle x^2+y^2+2x+3y-5=0 in A and B , Then the equation of the circle on AB as diameter is

    The circle x^2 + y^2+ 4x-7y + 12 = 0 cuts an intercept on y-axis equal to

    The line y=(3x)/4 meets the lines x-y+1=0 and 2x-y=5 at A and B respectively. Coordinates of P on y=(3x)/4 such that PA*PB=25.

    The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)-2x-4=0 at the points A and B. If the circle x^(2)+y^(2)-4x-k=0 passes through A and B then the value of k , is

    Show that the line x + y sqrt(3) = 4 touches the circles x^(2) + y^(2) - 4x - 4 sqrt( 3) y +12 = 0 and x^(2) y^(2) = 4 at the same point . Also find the coordinate of the point

    The line 3x -4y = k will cut the circle x^(2) + y^(2) -4x -8y -5 = 0 at distinct points if

    Home
    Profile