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If x y = 2 1 then (5x2 - 13xy +...

This question belongs to Arithmetic Ability Algebra
Algebra
?

If x : y = 2 : 1, then (5x2 - 13xy + 6y2) is equal to ?

Answer & Solution
Correct Answer: Option C
$$\eqalign{ & x:y = 2:1 \cr & {\text{then, }}5{x^2} - 13xy + 6{y^2} \cr & \Rightarrow 5 \times 4 - 13 \times 2 \times 1 + 6 \times {1^2} \cr & \Rightarrow 20 - 26 + 6 \cr & \Rightarrow 0 \cr} $$
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