NIELIT 2019 Feb Scientist D - Section D: 11

Question

What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ?

• A. $\frac{3c^{2}}{ab}$sq. units
• B. $\frac{4c^{2}}{ab}$sq. units
• C. $\frac{2c^{2}}{ab}$sq. units
• D. $\frac{c^{2}}{ab}$sq. units

Answer 1

Option (C)

Consider the given equation as $ax\pm by\pm c = 0$ then, 

The coordinates of the vertices are  (−a/c​,0),(a/c​,0),(0,b/c​),(0,−b/c​)

Let d1​,d2​ be the diagonals of the rhombus. 

d1​ = 2c/a

d2​ = 2c/b

Area = ​1/2(d1​.d2)​ 

= 2*c^2/ab​