- (23, 31)
- (2, 17)
- [13, 23]
- [12, 21]
The length of the latus rectum of the parabola 9x2−6x+36y+19=0
Let be the locus of the mirror image of a point on the parabola with respect to the line. Then the equation of tangent to at is:
Find the vertex, focus, axis, directrix and latus-rectum of the following parabolas
If the two circles and intersect in two distinct points, then
Latus rectum of the parabola y2−4y−2x−8=0 is
Find the area of the triangle formed by the lines joining the vertex of the parabola x2=12y to the ends of its latus-rectum.
A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding / cutting machine and a sprayer. It takes 2 h on grinding / cutting machine and 3 h on the sprayer to manufacture a pedestal lamp. It takes 1 h on the grinding / cutting machine and 2 h on the sprayer to Manufacture a shade. On any day, the sprayer is available for at the most 20 h and the grinding / cutting machine for at most 12 h. The profit from the sale of a lamp is Rs. 5 and that from a shades is Rs. 3. Assuming that the manufacture can sell all the lamps and shades that he produce, how should he schedule his daily production in order to maximize his profit?