The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and Q$$\left( {0,\,\frac{3}{2}} \right)$$ are two points on the sides OA and OB respectively of ΔOAB, where O is the origin of the co-ordinate system. Given that AB = 10 cm, then PQ = ?
A. 20 cm
B. 2.5 cm
C. 40 cm
D. 5 cm
Answer: Option B
Solution (By Examveda Team)
$$\eqalign{ & {\text{By distance formula, }} \cr & {\text{PQ}} = \sqrt {{{\left( {0 - 2} \right)}^2} + {{\left( {\frac{3}{2} - 0} \right)}^2}} \cr & = \sqrt {4 + \frac{9}{4}} \cr & = \frac{{\sqrt {25} }}{2} \cr & = \frac{5}{2} \cr & = 2.5{\text{ cm}} \cr} $$This Question Belongs to Arithmetic Ability >> Coordinate Geometry
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