Bissoy.com
Doctors Medicines MCQs Q&A

If a point moves in a plane in such a way that the sum of its distances from two fixed points is constant the curve so traced is called

If a point moves in a plane in such a way that the sum of its distances from two fixed points is constant the curve so traced is called Correct Answer Ellipse

An ellipse is a set of all points in a plane, the sum of whose distances from two fixed points in a plane is a constant. Two fixed points are called foci of the ellipse.

[ alt="15.10.2018.047" src="//storage.googleapis.com/tb-img/production/18/10/15.10.2018.047.PNG" style="height:201px; width:270px">

∴ the sum of the focal distance of any point on an ellipse is constant and equal to the length of the major axis of the ellipse.

Related Questions

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'.
Name the curve traced out by a point moving in a plane such that the difference between its distances from two fixed points is constant
Two circular dials of exactly the same size are mounted on a wall side by side in such a way that their perimeters touch at one point. Dial 1, which is on the left , spins clockwise around its center , and dial 2 , which is on the right spins counter clockwise around its center . (Assume that there is no friction at the point of contact between the dials.) Each dial is marked on its perimeter at three points that are at equale distances around the points arked ondial 1 are N, O, and P and the points marked on dial 2 are X, Y, and Z. If points O and Z are just meeting at the point of contact between the dials , and if dial 1 spins at the same speed as dial 2, what is the smallest number of revolutions of each dial that will bring O and Z together again?
If a point moves in a plane in such a way that it is equidistant from a fixed line and a fixed point (not on the line), the curve so traced is called
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?
An ellipse is defined as a curve traced by a point which has the sum of distances between any two fixed points always same in the same plane.
Point P is 4m in the west of point V. Point R is 6m in the north of point Q. Point T is 5m in the south of point S. Point V is in the middle of point R and Q. Point U is 5m in the east of point R. Point V is in north of point Q. Point S is 5m in the east of point V. What is the area of triangle formed by point P, R and Q?
Suyash starts walking from Point A and goes 130 m towards southeast. Pradeep starts walking from Point B and goes 130 m towards southwest. After walking these distances, they both meet at Point C. Point D is located in such a way that if points A and B are connected with a straight line, then D would be the midpoint of that line. The distance between Point C and Point D is 120 m. What is the distance between Point A and Point B ?
Deepak moves 5 km south from point R and reaches point P, then moves 7 km right and reaches point Q. Then he takes 2 right turns during which he moves 3 km and 2 km respectively to reach point S. Then he takes left turn and moves 2 km to reach T. Then find the distance between points R and T.
Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. How far and in which direction is Point G from Point A?