71.An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2m from the vertex of the parabola?
116 Views
Short Answer Type
72.Find the equation of the parabola having focus at point (2, 0) and the straight line x + 2 = 0 as the directrix.
88 Views
73.Find the equation of the parabola with focus at point S(2, –1) and x y + – 4 = 0 as the directrix.
106 Views
74.Find the equation of the parabola having focus at point (0, –2) and the straight line y = 1 as the directrix.
82 Views
Advertisement
75.
If a parabolic reflector is in diameter and 20 cm deep, find the distance of its focus S from the vertex.
95 Views
76.The focus of a parabolic mirror is at a distance of 6 cm from the vertex. If the mirror is 20 cm deep, find the vertical diameter of the mirror.
173 Views
Long Answer Type
77.An arch is in the form of parabola with its axis vertical. The arch is 8 m high and 4 m wide at the base level. How wide is the arch at a height of 2 m above the vertex?
84 Views
Short Answer Type
78.Find the area of the triangle formed by joining the vertex of parabola y2 = 8x and the two ends of the latus rectum.
104 Views
Advertisement
79.Find the area of the triangle formed by joining the vertex of the parabola x2 = 64y to the two ends of its latus rectum.
An equilateral triangle is inscribed in a parabola y2 = 16x, where one vertex is at the vertex of the parabola. Find (i) Length of each side of the triangle (ii) the area of the triangle
Long Answer Type
Short Answer Type
in diameter and 20 cm deep, find the distance of its focus S from the vertex.
(ii) 
Switch
