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SECTION B (2* 5 = 10)3. If A is the A.M. between a and b, then find(A -- a)2 + (A -- b)2.4 What are the points on y-axis whose distance from the line + ? |
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Answer» we know that arthimetic mean A=a+b/2.now,(A-a)²+(A-b)²=(a+b/2-a)²+(a+b/2-b)²=(a+b-2a/2)²+(a+b-2b/2)²=(b-a/2)²+(a-b/2)²=(b²+a²-2ab+a²+b²+2ab)/4=2(a²+b²)/4=(a²+b²)/2 is the answer. |
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