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MBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
- Express in the form a+bi (1+i)/(1-i)
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- Express the 1 points geometrically in the Argrand plane.
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- Express the 3i points geometrically in the Argrand plane.
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- Express the -2 points geometrically in the Argrand plane.
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- Express the 3+2i points geometrically in the Argand plane.
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- Express the -3+ipoints geometrically in the Argand plane.
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- Express the 1-i points geometrically in the Argand plane.
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- Show that the following number are equidistant from the origin :sqrt2 ...
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- Express sqrt2+ i =r cos theta +ir sin thetacomplex numbers in the pol...
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- Express 1+isqrt2=r cos theta +sin theta complex numbers in the polar ...
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- Express isqrt3 =rcos theta +ir sin theta complex numbers in the polar...
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- If 1,omega, omega^2 are the three cube roots of unity, prove that (1+o...
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- (1-omega +omega^2)(1+omega-omega^2)=4
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- (1-omega)(1-omega^2)(1-omega^4)(1-omega^5)=9
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- (2+5omega +2 omega^2)^6=(2+2omega+5 omega^2)^6=729
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- (1-omega+omega^2)(1-omega^2+omega^4)(1-omega^4+omega^2)….to 2n Factor...
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- Prove that x^3+y^3+z^3-3xyz =(x+y+z)(x+omegay+omega^2z)(x+yomega^2+z ...
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- If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show thatxyz =a^3+b^3
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- If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show that x^2+y^2+z^2...
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- If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show thatx^3+y^3+z^3=...
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