From a point A(1,0) on the circle x^(2) ...

From a point A(1,0) on the circle `x^(2) + y^(2) - 2x + 2y + 1 =0`, a chord AB is drawn and it is extended to a point P such that AP = 3AB. The equation of the locus of P is

`x^(2) + y^(2) -2x + 6y + 1=0`

`x^(2) + y^(2) -2x + 4y + 1 =0`

`x^(2) + y^(2) -2x + 8y -8 =0`

`x^(2) + y^(2) -2x + 3y + 1 =0`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

AP EAMCET SOLVED PAPER 2019 (22-04-2019, SHIFT-2)
TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|77 Videos
ONLINE QUESTION PAPER 2018
TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|318 Videos

Similar Questions

Explore conceptually related problems

From the point A (0,3) on the circle x^(2)+ 4x+(y-3)^(2) = 0 a chord AB is drawn and extended to a point M such that AM = 2 AB. Find the equation of the locus of M.

From the point A(0,3) on the circle x^(2)+4x+(y-3)^(2)=0 , a chord AB is drawn and extended to a point P, such that AP=2AB. The locus of P is

A(-9, 0) and B(-1, 0) are two points. If P(x, y) is a point such that 3PB = PA , then the locus of P is

If a point P is moving such that the lengths of the tangents drawn form P to the circles x^(2) + y^(2) + 8x + 12y + 15 = 0 and x^(2) + y^(2) - 4 x - 6y - 12 = 0 are equal then find the equation of the locus of P

The normal drawn at P(-1, 2) on the circle x^(2) + y^(2) - 2x - 2y - 3 = 0 meets the circle at another point Q. Then the coordinates of Q are

If a point P is moving such that the length of tangents drawn from P to x^(2) + y^(2) - 2x + 4 y - 20= 0" ___"(1) . and x^(2) + y^(2) - 2x - 8 y +1= 0" ___"(2) . are in the ratio 2:1 Then show that the equation of the locus of P is x^(2) + y^(2) - 2x - 12 y +8= 0

Two tangents are drawn from a point P to the circle x^(2)+y^(2)+2gx+2fy+c=0 . If these tangents cut the coordinate axes in concyclic points show hat the locus of P is (x+y+g+f)(x-y+g-f)=0

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER -Mathematics

Show that two pairs of lines 3x^(2)+8xy-3y^(2)=0 and 3x^(2)+8xy-3y^(2...
Text Solution
|
The equation of pair of lines passing through origin and forming an eq...
Text Solution
|
From a point A(1,0) on the circle x^(2) + y^(2) - 2x + 2y + 1 =0, a ch...
Text Solution
|
Show that the tangent at (-1, 2) of the circle x^(2) + y^(2) - 4x -...
Text Solution
|
If C(1) and C(2) are the centres of similitude with respect to the cir...
Text Solution
|
If tangents are drawn to the circle x^(2) + y^(2) = 12 at the points o...
Text Solution
|
From a point P on the line 4x-5y=6 two tangents are drawn to the circl...
Text Solution
|
If (-1,-1) is the focus and x + y + 3=0 is the directrix of a parabola...
Text Solution
|
If a normal chord of a parabola y^(2) = 4ax subtends a right angle at...
Text Solution
|
If origin is the centre, X-axis is the major axis and sqrt((2)/(5)) is...
Text Solution
|
The slope of a common tangent to the ellipse (x^(2))/(49) + (y^(2))/(4...
Text Solution
|
The distance between the tangents drawn to the hyperbola 3x^(2) -y^(2)...
Text Solution
|
If the distance between two points A and B is d, and the lengths of th...
Text Solution
|
L is a line passing through the point A(1, 0, -3) and parallel to a li...
Text Solution
|
Let pi(1) be the plane passing through the points (0,1,2), (1,0,-2), (...
Text Solution
|
underset(x rarr 0)(lim) (cos 4x - 4 cos 2x + 3)/(x^(4)) =
Text Solution
|
If alpha = underset(x rarr 0)Lt (x.2^(x) -x)/(1 - cos x) and beta = un...
Text Solution
|
If f(x) = (2)/(4 + 3|x|), x in R, then f(0) =
Text Solution
|
If f is a real function such that f(4) = 4 and f'(4) = 16, " then " un...
Text Solution
|
If y= (sin^(-1) 2x)^(2) + (cos^(-1) 2x)^(2), then (1-4x^(2))y(2) - 4xy...
Text Solution
|