The equation of a circle which has a tan...

The equation of a circle which has a tangent 3x + 4y = 6 and two normals given by (x-1) (y-2) = 0 is

`(x-3)^2+(y-4)^2=5^2`

`x^2+y^2-4x-2y+4=0`

`x^2+y^2-2x-4y+4=0`

`x^2+y^2-2x-4y+5=0`

Text Solution

Verified by Experts

The correct Answer is:

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

The equation of the circle which has normals (x-1).(y-2)=0 and a tangent 3x+4y=6 is (a) x^2+y^2-2x-4y+4=0 (b) x^2+y^2-2x-4y+5=0 (c) x^2+y^2=5 (d) (x-3)^2+(y-4)^2=5

Find the equation of the circle passing through the point (2,0) and touching two given lines 3x-4y=11 and 4x+3y=13 and it's center lies on y axis.

Find the equation of the circle which passes through the points of intersection of the circle x^(2) + y^(2) + 4(x+y) + 4 = 0 with the line x+y+2 = 0 and has its centre at the origin.

Find the equation of the circle which passes through (1, 1) and cuts orthogonally each of the circles x^2 + y^2 - 8x - 2y + 16 = 0 and x^2 + y^2 - 4x -4y -1 = 0

Equation of the circle which passes through the points of intersection of circles x ^(2) +y^(2) =6 and x^(2)+y^(2) -6x +8 =0 and the point (1,1) is-

Find the equation of the circles which passes through the origin and the points of intersection of the circles x^(2) + y^(2) - 4x - 8y + 16 = 0 and x^(2) + y^(2) + 6x - 4y - 3 = 0 .

The equation of the circle which passes through the points of intersection of the circles x^(2)+y^(2)-6x=0 and x^(2)+y^(2)-6y=0 , and has its centre at ((3)/(2),(3)/(2)) is

Prove that the equation of the parabola whose focus is (0, 0) and tangent at the vertex is x-y+1 = 0 is x^2 + y^2 + 2xy - 4x + 4y - 4=0 .

Find the equation of the tangent and the normal at the point (0, -1) to the curve 5x^2+3y^2+2x+4y+1=0

Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation of the circle through their points of intersection and the point (1, 1) is x^2+y^2-6x+4=0 x^2+y^2-3x+1=0 x^2+y^2-4y+2=0 none of these

PATHFINDER-CIRCLE-QUESTION BANK

The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...
Text Solution
|
The angle between a pair of tangents drawn from a point P to the circl...
Text Solution
|
The equation of a circle which has a tangent 3x + 4y = 6 and two norma...
Text Solution
|
The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0...
Text Solution
|
If the chord y = mx + 1 subtends an angle of measure 45^0 at the major...
Text Solution
|
If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...
Text Solution
|
The equation of the circle whose diameter is the common chord of the c...
Text Solution
|
A circle of the coaxial system with limiting points (0, 0) & (1, 0) is
Text Solution
|
If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...
Text Solution
|
The triangle PQR is inscribed in the circle x^2+y^2=25. If Q and R hav...
Text Solution
|
If the straight line y = mx is outside the circle x^2+y^2-20y+90=0, th...
Text Solution
|
The locus of the centre of the circle which passes through the origin ...
Text Solution
|
Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...
Text Solution
|
In a triangle ABC, right angled at A, on the leg AC as diameter, semic...
Text Solution
|
The area of the triangle formed by joining the origin to the points of...
Text Solution
|
The value of 'c' for which the set {(x, y)|x^2+y^2+2xle1}bigcap{(x, y)...
Text Solution
|
A pair of tangents are drawn to a unit circle with centre at the origi...
Text Solution
|
A line meets the co-ordinate axes in A and B. A circle is circumscribe...
Text Solution
|
If the curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 inters...
Text Solution
|
The distance between the chords of contact of the tangent to the circl...
Text Solution
|