Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Conic Section

Short Answer Type

61. Find the equation of the parabola that satisfying the following condition:
Vertex at (0,0), focus on the positive x-axis and length of latus rectum

16 over 9.

104 Views

62. Find the equation of the parabola that satisfying the following condition:
Vertex at (0, 0) focus on the negative side of y-axis and latus rectum equal to it.

The vertex is at (0, 0) and the focus is on negative y-axis is S(0, -a), a>0
∴ The equation of the parabola is $space space space space straight x squared equals negative 4 ay comma space straight a greater than 0$ ...(i)
Latus rectum = 4a = 11
Hence, from (i), the equation of parabola is: $straight x squared space equals negative 11 straight y$

91 Views

63. Find the equation of a parabola that satisfies the given condition:
Focus (6, 0), directrix is x = – 6

94 Views

64. Find the equation of a parabola that satisfies the given condition:
Focus (0 – 3); directrix y = 3

148 Views

65. Find the co-ordinates of a point on the parabola y² = l8x, where the ordinate is 3 times the abscissa.

165 Views

66. Find the area of the triangle formed by the lines joining the vertex of the parabola x² = 12y to the ends of the latus rectum.

181 Views

67.

An equilateral triangle is inscribed in the parabola $straight y squared equals 4 ax.$ , where one vertex is at the vertex of the parabola. Find (a) the length of the side of the triangle, (b) area of triangle ABC.

187 Views

68. If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.

91 Views

69. LL' is the latus rectum of a parabola, y² = 4ax, a > 0. Find the co-ordinates of points L and L'.

94 Views

70. LL' is the latus rectum of a parabola, x² = -8y. Find the co-ordinates of points L and L'.

93 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

62. Find the equation of the parabola that satisfying the following condition:Vertex at (0, 0) focus on the negative side of y-axis and latus rectum equal to it.

62. Find the equation of the parabola that satisfying the following condition:
Vertex at (0, 0) focus on the negative side of y-axis and latus rectum equal to it.