Home
Class 12
MATHS
The equation of the axis and directrix ...

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 .

Text Solution

Verified by Experts

The correct Answer is:
`( y - 3)^(2) =8 ( x + 1) `
or `y^(2) - 6y + 9 = 8 x + 8 `
or `y^(2) - 6y - 8y + 1 = 0 `
and the vertex of the parabola is (-1,3)
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBHS Archive (2016)|11 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2012)|18 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBHS Archive (2014)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

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.

Find the focus, the length of the latus rectum and the directrix of the parabola 3x^(2) = 8y

The coordinates of the foci of a hyperbola are (0,4) and (0,-4) and the length of its latus rectum is 12 units , find its equation.

Find the equation of the parabola with focus (2,0) and directrix x=-2 .

Find the equation of the parabola with focus f(4,0) and directrix x=−4 .

The equation of the axis and directrix of a parabola are x-y+3=0.One of its focus is at (-1,1)and its eccentricity is 3.Find the equation of the hyperbola.

The equation of the latus rectum of a parabola is x+y=8 and the equation of the tangent at the vertex is x+y=12. Then find the length of the latus rectum.

Find the equation of parabola having focus at (0,-3) its directrix is y = 3.

If the equation of latus rectum of a parabola is x+y-8=0 and the equation of the tangent at the vertex is x+y-12=0, then the length of the latus rectum is-

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.