If (2a + 3b)(2c - 3d) = (2a - 3b)(2c + 3

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (2a + 3b)(2c - 3d) = (2a - 3b)(2c + 3d), then :

Options:

$\frac{a}{b}=\frac{d}{c}$

$\frac{a}{b}=\frac{c}{d}$

$\frac{a}{b}=\frac{c}{b}$

$\frac{b}{a}=\frac{c}{d}$

Correct Answer:

$\frac{a}{b}=\frac{c}{d}$

Explanation:

Given,

(2a + 3b) (2c - 3d) = (2a - 3b) (2c + 3d)

= 4ac - 6ad + 6bc - 9bd = 4ac + 6ad - 6bc - 9bd

= 12bc = 12ad

= bc = ad

$\frac{a}{b}=\frac{c}{d}$