Progression (Sequence and Series)Hard

Question

Let a, b and c be distinct non-negative numbers. If the vectors and lie in a plane, then c is

Options

A.the Geometric Mean of a and b
B.the Arithmetic Mean of a and b
C.equal to zero
D.the Harmonic Mean of a and b

Solution

Vector and
= 0 ⇒ c2 = ab
∴   a, b, c are in G.P.

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