The vertex of a parabola is (2,2) and th...

The vertex of a parabola is (2,2) and the coordinates of extremities of its latus rectum are (-2,0) and (6,0). Then find the equation of the parabola.

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CENGAGE PUBLICATION|Exercise All Questions|877 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The vertex of a parabola is (2, 2) and the coordinats of its two extremities of latus rectum are (-2,0) and (6, 0). Then find the equation of the parabola.

The coordinates of the two ends of latus rectum of a parabola are (3,4) and (3,0) ,find the equation of the parabola.

The coordinates of the two ends of latus rectum of a parabola are (8,1) and (-4,1) , find the equation of the parabola.

Find the equation of a parabola having its focus at S(2,0) and one extremity of its latus rectum at (2, 2)

The equation of the directrix of a parabola is x = y and the coordinates of its focus ar (4,0) . Find the equation of the parabola.

The axis of a parabola is parallel to x axis. If the the parabola passes through the point (2, 0), (1, -1) and (6, -2), then find the equation of the parabola.

The coordinates of the foci of a hyperbola are ( pm 6,0) and its latus rectum is of 10 unit. Find the equation of the hyperbola.

The vertex of the parabola x^(2)-6x+4y+1=0 is

The equation of the axis and directrix of a parabola are y - 3 = 0 and x + 3 = 0 respectively and the length of the latus rectum is 8 units . Find the equation of the parabola and the coordinate of its vertex .

The equation of the axis and directrix of a parabola are y-3=0 and x+3=0 respectively and the length of the latus tectum is 8 units.find the equation of the parabola and the coordinates of its verex.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions

Find the length of the latus rectum of the parabola whose focus is at ...
Text Solution
|
The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the eq...
Text Solution
|
The vertex of a parabola is (2,2) and the coordinates of extremities o...
Text Solution
|
Find the equation of the directrix of the parabola x^2-4x-3y+10=0.
Text Solution
|
Find the locus of midpoint of chord of the parabola y^(2)=4ax that pas...
Text Solution
|
In the parabola y^(2)=4ax, the tangent at P whose abscissa is equal to...
Text Solution
|
If the normal to the parabola y^2=4a x at point t1 cuts the parabola a...
Text Solution
|
If the three normals from any point to the parabola y^(2)=4x cut the l...
Text Solution
|
A ray of light moving parallel to the X-axis gets reflected from a par...
Text Solution
|
A circle and a parabola y^2=4a x intersect at four points. Show that t...
Text Solution
|
A parabolic mirror is kept along y^(2)=4x and two light rays, parallel...
Text Solution
|
If incident from point (-1,2) parallel to the axis of the parabola y^2...
Text Solution
|
Find the equation of parabola having focus at (1,1) and vertex at (-3,...
Text Solution
|
Find the equation of the parabola with focus f(4,0) and directrix x=−4...
Text Solution
|
Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)...
Text Solution
|
The equation of the latus rectum of a parabola is x+y=8 and the equati...
Text Solution
|
Prove that the locus of the centre of a circle, which intercepts a cho...
Text Solution
|
Find the value of lamda if the equation 9x^(2)+4y^(2)+2lamdaxy+4x-2y+3...
Text Solution
|
Find the range of values of lamda for which the point (lamda,-1) is ex...
Text Solution
|
Prove that the locus of a point, which moves so that its distance from...
Text Solution
|