Grade 12th passAnalytical Geometry
If M/N+N/L+L/M=0 then find out LN/M square+M square/LN -N cube/L cube= ?
If M/N+N/L+L/M=0 then find out LN/M square+M square/LN -N cube/L cube= ?
1 Answer
Ram Kushwah
GIVEN THAT
M / N + N / L + L / M =0
LM² + MN² + L²N=0
LM² + L²N= - MN²
SUARING BOTH SIDES
(LM² + L²N )² = (- MN² )²
L²M4 + L4N² +2 L³M²N = M²N4
L²M4 + L4N²- M²N4 = – 2 L³M²N
DIVIDING BOTH SIDED BY L³M²N
L²M4 / L³M²N + L4N² / L³M²N – M²N4 / L³M²N = – 2 L³M²N / L³M²N
M²/ LN + LN / M² – N³ / L³ = -2
OR LN / M² + M² / LN – N³ / L³ = – 2
HENCE THE FINAL ANSWER = – 2
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