Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

If $ab c = m$ and $det P = a c b b a c c b a$ , where $P$ is an orthogonal matrix.

The value of $a^{- 10} b^{- 12} c^{- 12} + a^{- 12} b^{- 10} c^{- 12} + a^{- 12} b^{- 12} c^{- 10}$ can be

Answer:

Solution:

$\frac{a ^{2} + b ^{2} + c ^{2}}{a ^{12} b ^{12} c ^{12}} = \frac{a ^{2} + b ^{2} + c ^{2}}{( ab c ) ^{12}} = \frac{1}{m ^{12}} = m^{- 12}$ .

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

Loading discussions...