Find the equation of the parabola whose ...

Find the equation of the parabola whose axis is parallel to X-axis and which passes through the point (0,4),(1,9) and (-2,6) . Also, find its latusrectum.

A

`y=2(x+3/4)^(2)+23/8`

B

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

C

`y=2(x+3/5)^(2)+1/2`

D

`y=2(x+1/2)^(2)-1/2`

Text Solution

Verified by Experts

The correct Answer is:

a

Topper's Solved these Questions

CONIC SECTIONS
BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos
COMPLEX NUMBERS
BITSAT GUIDE|Exercise BITSET Archives |13 Videos
DEFINITE INTEGRALS AND ITS APPLICATIONS
BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the parabola whose axis is parallel to x-axis and which passes through points (0,0), (1,1) and (2, 3)

Equation of the parabola whose axis is parallel to Y- axis and which passes through the point (1,0),(0,0)and (-2,4) , is

Find the equation to the parabola whose axis is parallel to y -axis and which passes through the points (0,4).(1,9) and (2,6) and determine its latus rectum.

Find the equaiton to the parabola whose axis is parallel to y-axis and which passes through the point (0, 4), (1, 9) and (-2, 6) . Determine its latus rectum.

Find the equation to the parabola whose axis parallel to the y-axis and which passes through the points (0,4)(1,9) and (4,5) and determine its latusrectum.

Find the equation of the parabola with its axis parallel to x-axis and which passes through the points (1, 2), (-1, 3) and (-2, 1) .

Find the equation of the parabola which has axis parallel to the y-axis and which passes through the points (0,2),(-1,0), and (1,6)

Find the equaiton of the parabola with its axis parallel to x-axis and which passes through the points (1, 2), (-1, 3) and (-2, 1) .

Length of the latusrectum of the parabola whose axis is parallel to y-axis and which passes through the points (0,4),(1,9)" and "(-2,6)" is

The focus of parabola whose axis is parallel to y -axis & which passes through the points (2,5),(1,4),(-1,8) is

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES

Find the equation of the parabola whose axis is parallel to X-axis and...
Text Solution
|
The locus of the points of intersectino of the tangents at the extremi...
Text Solution
|
A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...
Text Solution
|
The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :
Text Solution
|
The radius of the circle passing through the foci of the ellipse (x^(2...
Text Solution
|
If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...
Text Solution
|
If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...
Text Solution
|
Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...
Text Solution
|
The difference of the focal distances of any point on the hyperbola is...
Text Solution
|
If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...
Text Solution
|
The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...
Text Solution
|
The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...
Text Solution
|
If the centre, one of the foci and semi-major axis of an ellipse are (...
Text Solution
|
The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...
Text Solution
|
The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...
Text Solution
|
Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...
Text Solution
|
The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...
Text Solution
|
The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...
Text Solution
|
The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...
Text Solution
|
For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...
Text Solution
|
The equation of the parabola with its vertex at (1, 1) and focus (3, 1...
Text Solution
|