The equation of circle touching the |y| ...

The equation of circle touching the |y| = x at a distance `sqrt2` units from the origin is :

`x ^(2) + y ^(2) +4x=0`

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

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

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATHEMATICS
FIITJEE|Exercise OBJECTIVE|84 Videos
MATHEMATICS
FIITJEE|Exercise ASSERTION REASONING|8 Videos
MATHEMATICS
FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
MATHEMATICAL REASONING
FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
MATHEMATICS TIPS
FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a circle which touches y- axis at a distance of 2 units from the origin and cuts an intercept of 3 units with the positive direction of x -axis

Find the equation of a circle which touches y- axis at a distance of 4 units from the origin and cutsan intercept of 6 units along the positive direction of x-axis.

Find the equation of the circle touching the negative y- axis at a distance 5 from the origin and intercepting a length 8 on the x - axis.

The equation of the circle which touches the axes at a distances 5 from the origin is y^(2) +x^(2) - 2alphax - 2alphay + alpha^(2) = 0 What is the value of alpha ?

Find the equation of a circle Which touches both the axes at a distance of 6 units from the origin.Which touches x-axis at a distance 5 from the origin and radius 6units Which touches both the axes and passes through the point (2,1) Passing through the origin,radius 17 and ordinate of the centre is -15.

Find the equation of the a circle which touches y-axis at a distance of 4 units from the origin and cuts an intercept of 6 units along the positive direction of x-axis.

Find the equation of the circle which touches the axis of x at a distance 3 from the origin and cuts an intercept of length 6 on the axis of y .

Find the equation to the circle which touches the axis of x at a distance +3 from the origin and intercepts a distance 6 on the axis of y

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)

The circle which can be drawn to pass through (1, 0) and (3, 0) and to...
Text Solution
|
If (1sqrt3) be one of the vertices of an equilateral triangle in circl...
Text Solution
|
The equation of circle touching the |y| = x at a distance sqrt2 units ...
Text Solution
|
If the circle x^2 + y^2 + 2gx + 2fy +|sin theta| -1 = 0 passes through...
Text Solution
|
If the line x-ay=5 is a chord of the parabola y^(2) = 20x, then the ci...
Text Solution
|
If the focus of the parabola (y - k)^2 = 4(x - h) always lies between ...
Text Solution
|
A line drawn through the focus (F) and parallel to tangent at P(x, y) ...
Text Solution
|
The line x - b +lambda y = 0 cuts the parabola y^(2) = 4ax (a gt 0) at...
Text Solution
|
If the following informations is given about a parabola, then in which...
Text Solution
|
If the focus of a parabola is (2, 3) and its latus rectum is 8, then f...
Text Solution
|
Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...
Text Solution
|
Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...
Text Solution
|
If from a point on the line (x -1) =0, tangents are feawn to the parab...
Text Solution
|
The condition that a straight line with slope m will be normal to para...
Text Solution
|
The vertex V of the parabola y ^(2) = 4ax and two points on the parabo...
Text Solution
|
If P(theta),Q(theta+pi/2) are two points on the ellipse x^2/a^2+y^2/b^...
Text Solution
|
The area between the latusne latus rectum and tangents drawn at the en...
Text Solution
|
If SK be the perpendicular from the focus S on the tangent at any poin...
Text Solution
|
If the curves (x ^(2))/(4) + y ^(2) = 1 and (x ^(2))/(a ^(2)) + y ^(2)...
Text Solution
|
If eccentric angle of a point lying in the first quadrant on the ellip...
Text Solution
|