If a, b, c are in A. P then prove that bc-aa, ca-bb, ab-cc also in A. P
sachin chauhan , 7 Years ago
Grade 12th pass
Magical Mathematics[Interesting Approach]> If a, b, c are in A. P then prove that bc...
1 AnswersVikas TU
Last Activity: 7 Years ago
Dear Student,
a+c = 2b
Let bc-aa , ac-bb , ab-cc are in ap then we have to show that a, b , c are in Ap
Bc-aa + ab-cc = 2ac – 2b^2
- (a+c)^2 – 2b^2 = ab + bc
- Using a+c = 2b, (a+c)^2 = 4b^2
- A+c = 2b => a,b,c are in AP Cheers!!Regards,Vikas (B. Tech. 4th year
Thapar University)
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