If P is a point $ (x,y) $ and $ P_1 = (3,0),P_2 = (-3,0) $ and $ 16 x^2 + 25y^2 = 400 $ , then $ PP_1 + PP_2 $ is equal to
- $ 8 $
- $ 10 $
- $ 5 $
- $ 4 $
The Correct Option is B
Solution and Explanation
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Concepts Used:
Coordinates of a Point in Space
Three-dimensional space is also named 3-space or tri-dimensional space.
It is a geometric setting that carries three values needed to set the position of an element. In Mathematics and Physics, a sequence of ‘n’ numbers can be acknowledged as a location in ‘n-dimensional space’. When n = 3 it is named a three-dimensional Euclidean space.
The Distance Formula Between the Two Points in Three Dimension is as follows;
The distance between two points P1 and P2 are (x1, y1) and (x2, y2) respectively in the XY-plane is expressed by the distance formula,
Read More: Coordinates of a Point in Three Dimensions