A line passing through the points A(1.-2...

A line passing through the points `A(1.-2)` cuts the circle `x^2 + y^2 - y = 0` at `P and Q.` Then the maximum value of `|AP-AQ|` is

`3sqrt2`

`sqrt2`

`2sqrt2`

`(1)/(sqrt2)`

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

If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0at A and B, then themaximum of PA+PB is

A circle touching the line x +y - 2 = 0 at (1,1) and cuts the circle x^(2) +y^(2) +4x +5y - 6 = 0 at P and Q. Then

A family of circles passing through the points (3, 7) and (6, 5) cut the circle x^2 + y^2 - 4x-6y-3=0 . Show that the lines joining the intersection points pass through a fixed point and find the coordinates of the point.

A line with gradient 2 is passing through the point P(1,7) and touches the circle x^(2)+y^(2)+16x+12y+c=0 at the point Q. If (a,b) are the coordinates of the point Q. then find the value of (7a+7b+c)

A line with gradient 2 is passing through the point P(1,7) and touches the circle x^(2)+y^(2)+16x+12y+c=0 at the point Q If (a,b) are the coordinates of the point Q then find the value of (7a+7b+c)

If a circle passes through the point (1, 1) and cuts the circle x^(2)+y^(2)=1 orthogonally, then the locus of its centre is

Two straight lines passing through the point A(3, 2) cut the line 2y=x+3 and x-axis perpendicularly at P and Q respectively. The equation of the line PQ is

A tangent to the circle x^(2)+y^(2)=1 through the point (0, 5) cuts the circle x^(2)+y^(2)=4 at P and Q. If the tangents to the circle x^(2)+y^(2)=4 at P and Q meet at R, then the coordinates of R are

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

Let A, B, C be three points in a straight line. B lying between A and ...
Text Solution
|
The equation of the circle which cuts the circel x ^(2) +y ^(2) = a ^(...
Text Solution
|
A line passing through the points A(1.-2) cuts the circle x^2 + y^2 - ...
Text Solution
|
The equation of the circumcircle of an equilateral triangle is x^2+y^2...
Text Solution
|
The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...
Text Solution
|
The circle x^2 + y^2 - 8x - 10y + 37 = 0, after being reflected about ...
Text Solution
|
The circles having radii r1a n dr2 intersect orthogonally. The length ...
Text Solution
|
The equation of the normal to the circle (x - 1)^2 + (y - 2)^2 = 4 whi...
Text Solution
|
If the equation 3x^2 + 3y^2 + 6lambdax + 2lambda = 0 represents a circ...
Text Solution
|
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
|