Bissoy.com
Doctors Medicines MCQs Q&A

The equation of the directrix line is X=-a, and the focus point is at (a,0), then where is the vertex of the parabola?

The equation of the directrix line is X=-a, and the focus point is at (a,0), then where is the vertex of the parabola? Correct Answer (0, 0)

Vertex of the parabola is the midpoint of the perpendicular line from the focus to the directrix. Here the focus is (a, 0) and directrix is X=-a, hence the perpendicular line from focus cuts the directrix at (-a, 0). Hence the vertex is the midpoint (0, 0).

Related Questions

Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?
Steps are given to find focus for a parabola. Arrange the steps. i. Draw a perpendicular bisector EF to BP, Intersecting the axis at a point F. ii. Then F is the focus of parabola. iii. Mark any point P on the parabola and draw a perpendicular PA to the axis. iv. Mark a point B on the on the axis such that BV = VA (V is vertex of parabol
How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.
Garima starts walking towards the south from point R. He walks for 5m to reach Point S then turns right and walks for 2m to reach point T from there he turns left and walks for 3m to reach Point Z. He then turns right from point Z and walks for 6m to reach point Y and then turns right and walks for 3m to reach point X. He then turns right from point X and walks for 4m to reach point W and then turns left and walks for 5m to reach point V and then turns left and walks for 4m till point U and stops. What is the shortest distance between point V and point R?
If focus of parabola is F (2, 5) and equation of directrix is x + y=2, then find the equation of parabola.
A person wants to visit some places. He starts from a vertex and then wants to visit every vertex till it finishes from one vertex, backtracks and then explore other vertex from same vertex. What algorithm he should use?
Point A is 3m in the north of point B. Point D is 2m in the east of point E. Point F is 9m in the west of point G. Point C is 4m in the west of point B. Point C is 3m in the south of point D. Point F is 5m in the south of point E. Point H is 5m in the north of point G. What is the shortest distance between point H and point A?
Steps are given to locate the directrix of hyperbola when axis and foci are given. Arrange the steps. i. Draw a line joining A with the other Focus F. ii. Draw the bisector of angle FAF1, cutting the axis at a point B. iii. Perpendicular to axis at B gives directrix. iv. From the first focus F1 draw a perpendicular to touch hyperbola at A.
Let G be a directed graph whose vertex set is the set of numbers from 1 to 100. There is an edge from a vertex i to a vertex j if and only if either j = i + 1 or j = 3i. The minimum number of edges in a path in G from vertex 1 to vertex 100 is 
Let G be a directed graph whose vertex set is the set of numbers from 1 to 50. There is an edge from a vertex i to a vertex j if and only if either j = i + 1 or j = 3i. Calculate the minimum number of edges in a path in G from vertex 1 to vertex 50.