The equation of the common tangent to th...

The equation of the common tangent to the parabolas `y^2= 4ax `and `x^2= 4by` is given by

Topper's Solved these Questions

CONIC SECTIONS
MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
CONIC SECTIONS
MODERN PUBLICATION|Exercise COMPETITION FILE|38 Videos
CONIC SECTIONS
MODERN PUBLICATION|Exercise EXERCISE|5 Videos
COMPLEX NUMBERS
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The equation of a common tangent of the parabolas y^(2)=4ax and x^(2)=4by is

The equation of the common tangent to the parabolas y^(2)=2x and x^(2)=16y is

Find the equation of the common tangent to the parabolas y^(2)=32x and x^(2)=4y

The common tangent to the parabolas y^(2)=8x and x^(2)=-4y is

The common tangent of the parabolas y^(2)=4x" and "x^(2)=-8y, is

The equation of the common tangent to the parabola y=x^(2) and y=-(x-2)^(2) is

MODERN PUBLICATION-CONIC SECTIONS -REVISION EXERCISE

Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 +y...
Text Solution
|
Prove that the centres of the three circles x^2 + y^2 - 4x – 6y – 12 =...
Text Solution
|
Prove that, through three given points which are not collinear, there ...
Text Solution
|
Find the equations of the circles touching y-axis at (0,3) and making ...
Text Solution
|
Find the area of the equilateral triangle that can be inscribed in the...
Text Solution
|
Find the equation of the circle circumscribing the quadrilateral forme...
Text Solution
|
Lines 5x + 12 y -10=0 and 5x - 12y - 40=0touch a circle C(1) of diamet...
Text Solution
|
If the distances from the origin of the centers of three circles x^2+y...
Text Solution
|
Determine equation of the circle whose diameter is the chord x + y = 1...
Text Solution
|
A rectangle A B C D is inscribed in a circle with a diameter lying ...
Text Solution
|
Find the equation to the circle which passes through the origin and...
Text Solution
|
Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and wh...
Text Solution
|
A double ordinate of the parabola y^(2) = 4ax is of length 8a. Prove...
Text Solution
|
The equation of the parabola whose vertex and focus lie on the axis of...
Text Solution
|
The equation of the common tangent to the parabolas y^2= 4ax and x^2= ...
Text Solution
|
Find the locus of the middle points of all chords of the parabola y^(2...
Text Solution
|
If any tangent to the ellipse x^2/a^2+y^2/b^2=1 cuts off intercepts of...
Text Solution
|
The vertices of a quadrilateral are situated at foci and the extrimiti...
Text Solution
|
Find the equation of the hyperbola whose foci are (8, 3) and (0, 3) an...
Text Solution
|
Find the locus of the-mid points of the chords of the circle x^2 + y^2...
Text Solution
|