l, m, n are the p^(th), q^(th) and r^(th) term of a G.P all positive, then | log l p 1 log m q 1 log n r 1 | equals

Sequence and Series: JEE Main 2002 Mathematics question

JEE Main 2002 · Annual, Paper 1 · Q5241

JEE Main 2002Annual, Paper 1MathematicsMediumSequence and Series179× since 2002

l, m, n are the

{p^{th}}

{q^{th}}

and

{r^{th}}

term of a G.P all positive,

then\,\left| {\matrix{ {\log \,l} & p & 1 \cr {\log \,m} & q & 1 \cr {\log \,n} & r & 1 \cr } } \right|\,equals

JEE Main 2002 · Annual, Paper 1 · Q5241

JEE Main 2002Annual, Paper 1MathematicsMediumSequence and Series179× since 2002

l, m, n are the

{p^{th}}

{q^{th}}

and

{r^{th}}

term of a G.P all positive,

then\,\left| {\matrix{ {\log \,l} & p & 1 \cr {\log \,m} & q & 1 \cr {\log \,n} & r & 1 \cr } } \right|\,equals