The locus of the centre of a circle the ...

The locus of the centre of a circle the touches the given circle externally is a _______

Text Solution

AI Generated Solution

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

The locus of the centre of a circle which touches two given circles externally is a

Prove that the locus of the center of the circle which touches the given circle externally and the given line is a parabola.

Two circles are given such that they neither intersect nor touch. Then identify the locus of the center of variable circle which touches both the circles externally.

Prove that the locus of centre of the circle which toches two given disjoint circles externally is hyperbola.

The locus of the centre of a circle which touches the given circles |z -z_(1)| = |3 + 4i| and |z-z_(2)| =|1+isqrt3| is a hyperbola, then the lenth of its transvers axis is ……

The locus of the centre of a circle which cuts a given circle orthogonally and also touches a given straight line is (a) circle (c) parabola (b) line (d) ellipse

Obtain the equation of the circle, centre (1, 0), which passes through the point P(3, 1 (1)/(2) ). Find also the equation of the equal circle which touches the given circle externally at P.

The locus of the centre of the circles which touches both the axes is given by

Consider the locus of center of the circle which touches the circle x^(2)+y^(2)=4 externally and the line x=4. The distance of the vertex of the locus from the otigin is __________ .

The locus of the centre of a variable circle touching circle |z|=2 internally and circle |z-4|=1 externally is (A) a parabola (B) a hyperbola (C) a ellipse (D) none of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

Find the angle between the tangents drawn from (1, 3) to the parabola ...
Text Solution
|
Find the values of alpha so that the point P(alpha^2,alpha) lies insid...
Text Solution
|
The locus of the centre of a circle the touches the given circle exter...
Text Solution
|
If on a given base B C , a triangle is described such that the sum of ...
Text Solution
|
The parametric equation of a parabola is x=t^2+1,y=2t+1. Then find the...
Text Solution
|
If the focus of a parabola is (2, 3) and its latus rectum is 8, then f...
Text Solution
|
y^2+2y-x+5=0 represents a parabola. Find its vertex, equation of axis,...
Text Solution
|
Find the equation of the parabola which has axis parallel to the y-axi...
Text Solution
|
Prove that the focal distance of the point (x ,y) on the parabola x^2-...
Text Solution
|
Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.
Text Solution
|
If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) i...
Text Solution
|
From a variable point p on line 2x−y-1=0 pair of tangents are draw...
Text Solution
|
The locus of the middle points of the focal chords of the parabola, y^...
Text Solution
|
If the distance of the point (alpha,2) from its chord of contact w.r.t...
Text Solution
|
T P and T Q are tangents to the parabola y^2=4a x at P and Q , respect...
Text Solution
|
Find the locus of the midpoint of normal chord of parabola y^2=4ax
Text Solution
|
If normal to the parabola y^2-4a x=0 at alpha point intersects the par...
Text Solution
|
If the parabolas y^2=4a x and y^2=4c(x-b) have a common normal other t...
Text Solution
|
Find the angle made by a double ordinate of length 8a at the vertex of...
Text Solution
|
The cable of a uniformly loaded suspension bridge hangs in the form of...
Text Solution
|