Let a,b,c,d and p be any non-zero distinct real numbers such that (a²+b²+c²)p² - 2(ab+bc+cd)p + (b²+c²+d²)=0. Then:
Let a,b,c,d and p be any non-zero distinct real numbers such that (a²+b²+c²)p² - 2(ab+bc+cd)p + (b²+c²+d²)=0. Then:
Option 1 -
a,c,p are in A.P.
Option 2 -
a,c,p are in G.P
Option 3 -
a,b,c,d are in G.P.
Option 4 -
a,b,c,d are in AP
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1 Answer
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Correct Option - 2
Detailed Solution:(ap-b)²+ (bp-c)²+ (cp-d)²=0 ⇒ p=b/a=c/b=d/c. a, b, c, d are in G.P.
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