If z = x – iy and z 1/3 = p + iq, (where x,y,p,q ∈ R ) then ( x p + y q ) ( p ^ 2 + q ^ 2…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If z = x – iy and z1/3 = p + iq, (where x,y,p,q ∈\(\mathbb{R}\))
then \[\frac{\left(\frac{\mathrm{x}}{\mathrm{p}}+\frac{\mathrm{y}}{\mathrm{q}}\right)}{\left(\mathrm{p}^{2}+\mathrm{q}^{2}\right)}\] equal to
then \[\frac{\left(\frac{\mathrm{x}}{\mathrm{p}}+\frac{\mathrm{y}}{\mathrm{q}}\right)}{\left(\mathrm{p}^{2}+\mathrm{q}^{2}\right)}\] equal to
- \(2\)
- \(-2\)
- \(4(p^2+q^2)\)
- \(p^2+q^2\)
Answer
(B) -2
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