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Coordinate Geometry

Question

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Show that if 2(a² + b²) = (a + b)², then a = b.

Solution

2(a² + b²) = (a + b)²⇒ 2a² + 2b² = a² + b² + 2ab
⇒ a² + b² - 2ab = 0
⇒    (a - b)² = 0
⇒    a - b = 0
⇒    a = b.

Some More Questions From Coordinate Geometry Chapter

Find the value of n, given (81)^5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x² - 3x + 7

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