A circle of radius 5 units touches co-or...

A circle of radius 5 units touches co-ordinates axes the first quadrant. If the circle makes one complete roll on axis along the positive direction of x-axis along the positive direction of x-axis, find its equation in the new position.

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 distance of a point from the x-axis in the positive direction is 5 and from the y-axis in the positive direction is 7. Find the co-ordinates of the point.

A circle of radius 5 units has diameter along the angle bisector of the lines x+y=2 and x-y=2. If the chord of contact from the origin makes an angle of 45^0 with the positive direction of the x-axis, find the equation of the circle.

Find the slope of the lines : Making inclination of 60^(@) with the positive direction of x- axis.

The magnitude of the angle which the line y=-x makes with the positive direction of the x axis is -

A tangent is drawn to parabola y^2=8x which makes angle theta with positive direction of x-axis. The equation of tangent is

Shade the area bounded by y^(2) =8x and y=x above positive direction of x-axis and use integration to find the area of that part.

Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

a straight line makes an angle 45^@ with positive direction of x-axis and 60^@ with positive direction of z-axis. If the line makes and angle theta with positive direction of y-axis then theta is equal to-

Find the distance from the point P(4,1) to the line 4x-y=0 measured along the line making and angle 135^(@) with the positive direction of x-axis.

A straight line passes throught the point (-1,4) and makes an angle 60^(@) with the positive direction of the x- axis . Find the equation of the straight line.

PATHFINDER-CIRCLE-QUESTION BANK

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
|
The chord of contact of tangents from a point P to a circle passes thr...
Text Solution
|
If the chord of contact of tangents from a point (x1,y1) to the circle...
Text Solution
|
The number of common tangents that can be drawn to the circles x^2+y^2...
Text Solution
|
The circles whose equations are x^2+y^2+c^2=2ax and x^2+y^2+c^2-2by=0 ...
Text Solution
|
The pole of a straight line with respect to the circle x^2+y^2=a^2 lie...
Text Solution
|