If three vertices of a rhombus taken in

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Co-ordinate Geometry

Question:

If three vertices of a rhombus taken in order are (2, -1), (3, 4) and (-2, 3), then the fourth vertex is :

Options:

(-3, -2)

(3, 2)

(2, 3)

(1, 2)

Correct Answer:

(-3, -2)

Explanation:

Let (x, y) be the coordinates of the fourth vertex. Since the diagonals of a rhombus bisect each other,

Therefore

(x+3)/2 = (2 - 2)/2,

x = -3

(y+4)/2 = (-1 + 3)/2,

y = -2

=> x = -3, y = -2