Let A and B be two distinct points on th...

Let A and B be two distinct points on the parabola `y^2=4x`. If the axis of the parabola touches a circle of radius r having AB as its diameter, The slope of the line joining A and B can be

`-1/r`

`1/r`

`2/r`

`-2/r` .

Text Solution

Verified by Experts

Topper's Solved these Questions

CONIC SECTIONS
MODERN PUBLICATION|Exercise EXERCISE|478 Videos
COMPLEX NUMBERS
MODERN PUBLICATION|Exercise EXERCISE|291 Videos
INFINITE SERIES
MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two distinct points on the parabola y^2=4x . If the axis of the parabola touches a circle of radius r having AB as its diameter, then find the slope of the line joining A and B .

Let P and Q be distinct points on the parabola y^2 = 2x such that a circle with PQ as diameter passes through the vertex O of the parabola. If P lies in the first quadrant and the area of the triangle Delta OPQ is 3 sqrt 2 , then which of the following is (are) the coordinates of P?

The set of points on the axis of the parabola y^2-4x-2y+5=0 find the slope of normal to the curve at (0,0)

Is the parabola y^2=4x symmetrical about x-axis?

Let P , Q and R are three co-normal points on the parabola y^2=4ax . Then the correct statement(s) is /at

The set of points on the axis of the parabola y^2-4x-2y+5=0 from which all the three normals to the parabola are real , is

y=3x is tangent to the parabola 2y=ax^2+ab . If b=36,then the point of contact is

y=3x is tangent to the parabola 2y=ax^2+b . If (2,6) is the point of contact , then the value of 2a is

Let V be the vertex and L be the latusrectum of the parabola x^2=2y+4x-4 . Then the equation of the parabola whose vertex is at V. Latusrectum L//2 and axis s perpendicular to the axis of the given parabola.

Find a point on the parabola y =(x-3)^2 , where the tangent is parallel to the line joining (3,0) and (4,1).

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE

The circle x^(2)+y^(2d)=4x+8y+5 intersects the line 3x-4y=m at two dis...
Text Solution
|
If two tangents drawn from a point P to the parabola y2 = 4x are at ri...
Text Solution
|
Let A and B be two distinct points on the parabola y^2=4x. If the axis...
Text Solution
|
A straight line L through the point (3,-2) is incined at an angle 60^...
Text Solution
|
The lines x + y =|a| and ax-y= 1 intersect each other in the first qua...
Text Solution
|
If A (2, -3) and B (-2, 1) are two vertices of a triangle and third ve...
Text Solution
|
The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...
Text Solution
|
The circle passing through the point (-1,0) and touching the Y-axis at...
Text Solution
|
Find the equation of the circle passing through (1,0) and (0,1) and h...
Text Solution
|
Let (x,y) be any point on the parabola y^2= 4x . Let P be the point th...
Text Solution
|
Find the equation of the ellipse referred to its axes as the axes of c...
Text Solution
|
The equation of the hyperbola whose foci are (- 2, 0) and (2, 0) and e...
Text Solution
|
Find the equation of the diagonal through the origin of the quadrilate...
Text Solution
|
Show that all chords of the curve 3x^2 -y^2- 2x+ 4y= 0, which subtend ...
Text Solution
|
A line is such that its segment between the straight line 5x-y-4=0 and...
Text Solution
|
Straight lines : 3x + 4y = 5 and 4x- 3y = 15 intersect at the point A....
Text Solution
|
Find the locus of a point whose sum of the distances from the origin a...
Text Solution
|
Given vertices A (1, 1), B (4, -2) and C (5, 5) of a triangle, find th...
Text Solution
|
If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...
Text Solution
|
Let S =x^2 + y^2 + 2gx + 2fy +c = 0 be a gives circle. Find the locus ...
Text Solution
|