Find the equation of the circle whose ce...

Find the equation of the circle whose centre is the point of intersection of the line 2x - 3y + 4 = 0 and 3x + 4y - 5 = 0 and passes through the origin.

Topper's Solved these Questions

CARTESIAN COORDINATES AND STRAIGHT LINE
PATHFINDER|Exercise QUESTION BANK|249 Videos
COMPLEX NUMBER
PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x - 7y + 5 = 0 " and " 3x + y = 0 .

Find the equation of the line passing through the point of intersection of the lines 4x + 7y - 3 = 0 " and " 2x - 3y + 1 = 0 that has equal intercepts on the axes.

Find the equation of the straight line passing through the point of intersection of the straight lines x+2y+3=0 and 3x+4y+7=0 and parallel to the straight line y=-(5)/(8)x .

Find the equation of the staight line passing through the point of intersection of the straight lines 2x+3y+4=0 and 3x+y-1=0 and inclined to the positive direction of the x - axis at an angle 135^(@) .

The equations of the line passing through the point of intersection of the lines x-3y+1=0 and 2x+5y-9=0 , whose distance from the origin is sqrt5 .

Find the equation of the straight line which passes through the point of intersection of the two lines 2x-y+5=0and5x+3y-4=0 and is perpendicular to the line x-3y+21=0.

Find the equation of the line passing through the point (1, 4) and intersecting the line x – 2y – 11 = 0 on the y-axis.

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of the straight line passing throught the point of intersection of the lines y=3x-1 and x-2y+3=0 and parallel to 3x-2y+7 =0.

Find the equation of the smallest circle passing through the point of intersection of the line x+y=1 and the circle x^(2)+y^(2)=9 .

PATHFINDER-CIRCLE-QUESTION BANK

Prove that the radii of circles x^2 + y^2 = 1, x^2 + y^2 - 2x -6y = 6 ...
Text Solution
|
Find the equation of the circle whose centre is the point of intersect...
Text Solution
|
A circle has radius 3 units and its centre lies on the line y = x - 1....
Text Solution
|
Find the area of an equilateral triangle inscribed in the circle x^2 +...
Text Solution
|
Find the equation of the circle which passes through the point (2, -2)...
Text Solution
|
Find the equation of the circle whose diameter is the line joining the...
Text Solution
|
A circle of radius 2 lies in the first quadrant and touches both the a...
Text Solution
|
A circle of radius 5 units touches co-ordinates axes the first quadra...
Text Solution
|
Find the length of tangents drawn from the point (3, -4) to the circle...
Text Solution
|
The chord of contact of tangents drawn from a point on the circle x^2 ...
Text Solution
|
Find the equation of the circle which touches the positive y-axis at a...
Text Solution
|
Find the equation of the circle which passes through the origin and cu...
Text Solution
|
Find the point(s) of intersection of the line 2x + 3y = 18 and the cir...
Text Solution
|
Obtain the locus of the point of intersection of the tangent to the ci...
Text Solution
|
A and B are two points in xy-plane, which are 2sqrt2 units distance ap...
Text Solution
|
Two circles each of radius 5 units touch each at (1, 2) If the equati...
Text Solution
|
One of the diameters of the circle circumscribing the rectangle ABCD i...
Text Solution
|
Find the locus of the mid points of the chords of the circle x^2 + y^2...
Text Solution
|
The centre of the circle S = 0 lies on the line 2x -2y + 9 = 0 and S =...
Text Solution
|
The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...
Text Solution
|