Related InterviewSolutions

• Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse `(x^(2))/(100)+(y^(2))/(400)=1`
• If the focus of a parabola is `(3,3)` and its directrix is `3x-4y=2` then the length of its latus rectum isA. 1B. 2C. 3D. 4
• Find the vertex, focus, directrix, latus rectum, equation of latus rectum, equation of axis and co-ordinates of ends of latus rectum for the following parabola : (i) `y^(2)=20x` , (ii)`y^(2)=-8y` (iii) `x^(2)=16y` , (iv) `x^(2)=-8y` (v) `2x^(2)=3y` , (iv) `3y^(2)+4x=0`
• Find the vertex, focus, equation of axis, equation of axis, equation of directrix, length of latus rectum and the co-ordinates of the ends of latus rectum for the following parabolas : (i) `y^(2) =8x` (ii) `y^(2) = -12x` (iii) `x^(2)=6y` (iv) `x^(2)=-2y`.
• Find the co-ordinates of the points lying on parabola `x^(2)=12y` whose focal distance is 15.
• Find the equation of the hyperbola whose (i) vertices are `(pm3,0)` and foci are `(pm5,0)` (ii) vertices are `(p0,m2)` and foci are `(0,pm3)` (iii) Foci are `(0,pm5)` and length of transverse axis is 8. (iv) Foci are `(pm13,0)` and length of conjugate axis is 10.
• Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola `(x^(2))/(16)-(y^(2))/(9)=1`
• Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the Hyperbola `(y^(2))/(9)-(x^(2))/(27)=1`
• Find the vertices, transverse and conjugate axes, eccentricity, co-ordinates of foci, equation of directrices and length of latus rectum for each of the following hyperbola. (i) `(x^(2))/(16)+(y^(2))/(9)=1` (ii) `9x^(2)-4y^(2)=36` (iii) `16y^(2)-9x^(2)=576` (vi) `49x^(2)-16y^(2)=784`
• Find the vertices, eccentricity, foci, equation of directrices length of latus rectum for the hyperbola `3y^(2)-x^(2)=27`.