Home
Class 12
MATHS
The directrix of a parabola is x+y+4=0 a...

The directrix of a parabola is `x+y+4=0` and vertex is at `(-1,-1)`. Find the position of the focus and the equation of parabola.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)-2xy-8x-8y-16=0`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2018|30 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - C)|17 Videos

  • METHOD OF SUBSTITUTION

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

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

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

Similar Questions

Explore conceptually related problems

The directrix of a parabola is x+y+4=0and vertex is at (-1,-1).Find the position of the focus and the equation of parabola.

The directrix of a parabola is x + y + 4 = 0 and vertix is the point (-1,-1) . Find (i) the position of focus and (ii) the equation of the parabola.

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 equation of the directrix of a hyperbola is x-y+3 = 0. Its focus is (-1,1) and eccentricity is 2 . Find the equation of the hyperbola.

The axis of a parabola is along x axis and vertex is(0.0).If it passes through (2, 3), then find the equation of the parabola.

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 directrix of the parabola 3y^(2) =- 4x is _

A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola is :

The equation of directrix of the parabola 4x^(2) =3y is _

Find the focus of the parabola y=x^2+x+1 .