If a,b,c be distinct real numbers such that a2−b=b2−c=c2−a, then (a+b)(b+c)(c+a), is equal to
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Q2
If a,b,c are distinct positive real numbers such that a2+b2+c2=1, then value of ab+bc+ca, is:
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Q3
If three real numbers a,b,c none of which is zero are related by: a2=b2+c2−2bc√1−a2,b2=c2+a2−2ca√1−b2,c2=a2+b2−2ab√1−c2, then prove that a=c√1−b2+b√1−c2.
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Q4
If a,b,c,d and p are distinct real numbers such that (a2+b2+c2)p2 -2(ab+bc+cd)p+(b22+c2+d2)<=0,then a,b,c,d are in
a) GP b)AP c)HP d)None of these
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Q5
If a,b,c and d are distinct real numbers such that (a2+b2+c2)x2−2x(ab+bc+cd)+(b2+c2+d2)=0, then;