Question

4. If x = -y and y> 0, which of the following is wrong? (a) x²y > 0 (b) x+y=0 (C) xy < 0 (d) 1/x-1/y=0​

Answer 1

Answer:

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Explanation:

Correct answer = (d) 1/x - 1/y = 0

Given: x = -y and y > 0 Now, we have:

(i) x2 y On substituting x = -y, we get: (-y)2 y = y3 > 0 (∵ y > 0)

This is true.

(ii) x + y On substituting x = -y, we get: (-y) + y = 0

This is also true.

(iii) xy On substituting x = -y, we get:

(-y)y = -y2 (∵ y > 0)

This is again true.

(iv) 1/x - 1/y = 0 ⇒ y−x/xy = 0 On substituting x = -y, we get:

y−(−y) (−y)y = 0 ⇒ 2y/−y2 = 0 ⇒ 2y = 0 ⇒ y =0