If X2 + Y2 = 100 and X : Y = 4 : 3, then

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If X² + Y² = 100 and X : Y = 4 : 3, then what is the value of X² − Y²?

Options:

Correct Answer:

Explanation:

If X² + Y² = 100

X : Y = 4 : 3,

then what is the value of X² − Y²?

Let the value of X and Y be 4m and 3m

Given,

X² + Y² = 100

= 16m² + 9m² = 100

= m² = \(\frac{100}{25}\) = 4

= a = 2

= X² – Y²= 16m² – 9m² = 7m² = 7 × 4 = 28