From the origin, chords are drawn to the...

From the origin, chords are drawn to the circle `(x-1)^2 + y^2 = 1`. The equation of the locus of the mid-points of these chords

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CENGAGE ENGLISH|Exercise All Questions|886 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0 , then the locus of the mid point of the chord has equation

Through a fixed point (h, k) secants are drawn to the circle x^2 +y^2 = r^2 . Then the locus of the mid-points of the secants by the circle is

Tangents are drawn to a unit circle with centre at the origin from each point on the line 2x + y = 4 . Then the equation to the locus of the middle point of the chord of contact is

From origin chords are drawn to the cirlce x^(2)+y^(2)-2px=0 then locus of midpoints of all such chords is

Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 . Find the equation to their chord of contact and the middle point of this chord of contact.

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

y=2x be a chord of the circle x^(2) +y^(2)=20x . Find the equation of a circle whose diameter is this chord.

A variable chord is drawn through the origin to the circle x^2+y^2-2a x=0 . Find the locus of the center of the circle drawn on this chord as diameter.

(i) Find the equation of that chord of the circle x^(2) + y^(2) = 15 , which is bisected at the point (3,2). (ii) Find the locus of mid-points of all chords of the circle x^(2) + y^(2) = 15 that pass through the point (3,4),

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...
Text Solution
|
find the area of the quadrilateral formed by a pair of tangents from t...
Text Solution
|
From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1. The...
Text Solution
|
The equation of the circle passing through the point of intersection o...
Text Solution
|
If the radii of the circle (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 ar...
Text Solution
|
The equation of the circle which has normals x-1).(y-2)=0 and a tange...
Text Solution
|
A wheel of radius 8 units rolls along the diameter of a semicircle of ...
Text Solution
|
The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . T...
Text Solution
|
The squared length of the intercept made by the line x=h on the pair o...
Text Solution
|
Two parallel tangents to a given circle are cut by a third tangent at ...
Text Solution
|
Three equal circles each of radius r touch one another. The radius of ...
Text Solution
|
If (mi,1/mi),i=1,2,3,4 are concyclic points then the value of m1m2m3m4...
Text Solution
|
The intercept on the line y=x by the circle x^2+y^2-2x=0 is AB. Equat...
Text Solution
|
The equation of the locus of the mid-points of chords of the circle 4...
Text Solution
|
The chords of contact of the pair of tangents drawn from each point on...
Text Solution
|
Let S -= x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the locus o...
Text Solution
|
The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...
Text Solution
|
Let a given line L1 intersect the X and Y axes at P and Q respectively...
Text Solution
|
Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...
Text Solution
|
On the line segment joining (1, 0) and (3, 0) , an equilateral triangl...
Text Solution
|