Complex Number
Complex Number
If you see all the videos in the sequence given, you can master this complex ( easy ) chapter
Q1 ) What do I do when a complex number is in the denominator ? What is rationalization ?
Ans ( 1 )
http://www.dailymotion.com/video/x26f24a_1-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina_lifestyle
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Q2 ) How do we find i to the power i ? How do we find log of negative numbers ? How do we find log of imaginary numbers ?
Ans ( 2 )
http://www.dailymotion.com/video/x26f25a_2-most-important-i-to-the-power-i-log-of-various-negative-and-imaginary-numbers-dezrina_lifestyle
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Q3 ) How do we find square of a complex number ?
Ans ( 3 )
http://www.dailymotion.com/video/x26f267_3-1-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-3_lifestyle
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Q4 ) How do we find Square root of a complex number ?
Ans ( 4 )
part 1
http://www.dailymotion.com/video/x26f26w_3-2-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-4_lifestyle
Part 2
http://www.dailymotion.com/video/x26f3wy_3-3-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-4_lifestyle
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Q5 ) Can we have another example to find square root of a complex number ?
Ans ( 5 )
part 1
http://www.dailymotion.com/video/x26f4xm_3-4-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-5_lifestyle
Part 2
http://www.dailymotion.com/video/x26f4y7_3-5-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-5_lifestyle
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Q6 ) Can we have another example to find square root of a complex number ?
Ans ( 6 )
http://www.dailymotion.com/video/x26f6yi_3-6-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-6_lifestyle
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Q7 ) How do you find cube root of 1 ?
Ans ( 7 )
http://www.dailymotion.com/video/x26f6z4_3-7-complex-number-introduction-for-small-preschool-children-who-r-feared-of-crocodile-7_lifestyle
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Q8 ) Can cube root of 1 be found in another way ?
Ans ( 8 )
http://www.dailymotion.com/video/x26f6zr_3-8-complex-number-introduction-for-small-preschool-children-who-r-feared-of-giraffe-8_lifestyle
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Q9 ) How do we derive Sin theta and Cos theta in terms of i ?
Ans ( 9 )
http://www.dailymotion.com/video/x26f70d_3-9-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-9_lifestyle
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Q10 ) if ( z - 1 )/(z + 1 ) is purely imaginary then Prove that | z | = 1
Ans ( 10 )
1 st Solution :
http://www.dailymotion.com/video/x26f716_4-1-complex-number-z-minus-1-by-z-plus-1-is-purely-imaginary-then-mod-z-is-10_lifestyle
2 nd Solution :
http://www.dailymotion.com/video/x26fef0_4-1-2-complex-number-z-1-by-z-1-purely-imaginary-graphical-interpretation-mod-z-1-10_lifestyle
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Q11 ) Can you please review concept of conjugate once again ?
Ans ( 11 )
Part 1
http://www.dailymotion.com/video/x26fefq_4-2-complex-number-introduction-for-small-preschool-children-who-r-feared-of-halloween-11_lifestyle
Part 2
http://www.dailymotion.com/video/x26fegk_4-3-complex-number-introduction-for-small-preschool-children-who-r-feared-of-bhoot-11_lifestyle
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Q12 ) Please review i to the power i , root i once again ?
Ans ( 12 )
Part 1
http://www.dailymotion.com/video/x26feja_4-4-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-12_lifestyle
Part 2
http://www.dailymotion.com/video/x26ffxu_4-5-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-12_lifestyle
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Q13 ) Please explain how to find log i ?
Ans ( 13 )
http://www.dailymotion.com/video/x26ffyo_4-6-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-13_lifestyle
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Q14 ) How do you find log of -1 ?
Ans ( 14 )
http://www.dailymotion.com/video/x26ffzf_4-7-complex-number-for-pre-school-children-playing-with-i-break-it-twist-it-dezrina-14_lifestyle
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Q15 ) Please discuss various forms of simplification of complex numbers as needed in my school ?
Ans ( 15 )
http://www.dailymotion.com/video/x26fhs9_4-8-complex-number-introduction-for-small-preschool-children-who-r-feared-of-ibex-15_lifestyle
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Q16 ) How do we find 4th root of 1 ?
Ans ( 16 )
http://www.dailymotion.com/video/x26fht9_4-9-only-naughty-people-bother-with-cube-root-of-1-complex-number-skm-classes-16_lifestyle
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Q17 ) Can we please have another example of square root of a complex number ?
Ans ( 17 )
Part 1
http://www.dailymotion.com/video/x26fhu0_5-1-root-of-complex-number-math-teachers-are-jobless-to-bother-small-preschool-children-17_lifestyle
Part 2
http://www.dailymotion.com/video/x26fhum_5-2-root-of-complex-number-math-teachers-are-jobless-to-bother-small-preschool-children-17_lifestyle
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Q18 ) If z lieas on the circle | z | = 1 then 2/z lies on ?
Ans ( 18 )
http://www.dailymotion.com/video/x26fhyy_5-3-aieee-complex-number-mod-z-1-then-2-by-z-is-on-circle-interesting-interpretation-18_lifestyle
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Q19 ) if z + ( root 2 ) | z + 1 | + i = 0 then find z ?
Ans ( 19 )
http://www.dailymotion.com/video/x26fi4c_5-4-aieee-complex-numbers-in-mixed-expression-of-z-and-mod-z-x-iy-substitution-is-easier-19_lifestyle
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Q20 ) If log to the base 1 by root 3 is greater than some expression greater than -2 then show that z | less than 5
Ans ( 20 )
http://www.dailymotion.com/video/x26g36f_5-5-aieee-complex-numbers-log-to-the-base-1-by-root-3-is-greater-than-some-expression-20_lifestyle
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Q21 ) Kindly revise all the complex number formulae at a single place ?
Ans ( 21 )
http://www.dailymotion.com/video/x26g36s_5-6-complex-number-formulae-and-theorems-in-a-single-place-very-important-for-revision-21_lifestyle
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Q22 ) If | z | = 1 and a few more conditions then interpret the options. [ IIT JEE 2003 ]
Ans ( 22 )
http://www.dailymotion.com/video/x26g48t_5-7-complex-number-iit-jee-2003-useful-for-cbse-isc-cet-many-ways-to-do-a-problem-22_lifestyle
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http://www.dailymotion.com/video/x26g496_5-8-complex-number-iit-jee-2003-useful-for-cbse-isc-cet-comedk-and-other-exams-22_lifestyle
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Q23 ) if | z - 4 | < | z - 2 | then which option ? [ IIT JEE 1982 ]
Ans ( 23 )
http://www.dailymotion.com/video/x26hh60_5-9-1-complex-number-iit-jee-1982-useful-for-cbse-isc-cet-comedk-and-other-exams-23_lifestyle
Solved again
http://www.dailymotion.com/video/x26hh6g_5-9-2-iit-jee-complex-number-1982-mod-of-z-4-less-than-mod-of-z-2-23_lifestyle
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Q24 ) If | z1 | = 12 and | z2 - 3 - 4i | = 5 then minimum of | z1 - z2 | is ? [ IIT JEE 2002 ]
Ans ( 24 )
http://www.dailymotion.com/video/x26gglb_6-1-complex-number-iit-jee-2002-useful-for-cbse-isc-cet-comedk-and-other-exams-24_lifestyle
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Q25 ) If | z | = 1 then z / | -z square | lies on ? [ IIT JEE 2007 ]
Ans ( 25 )
http://www.dailymotion.com/video/x26gf5i_6-2-complex-number-iit-jee-2007-useful-for-cbse-isc-cet-comedk-and-other-exams-25_lifestyle
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Q26 ) Someone told me that a Complex number problem which is in NCERT Text book, also solved in R D Sharma Sir's Book in 10 step can be solved in just 3 steps ? Is it true ? [ Complex Number NCERT R D Sharma long method Pg 13.26 Pr 36 done in 3 steps ]
Ans ( 26 )
http://www.dailymotion.com/video/x26genv_6-3-complex-number-ncert-r-d-sharma-long-method-pg-13-26-pr-36-done-in-3-steps-trick-26_lifestyle
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Q27 ) Please explain what does thinking in terms of Argand Diagram mean ?
Ans ( 27 )
http://www.dailymotion.com/video/x26gcmt_6-4-complex-number-thinking-in-terms-of-argand-diagram-skm-classes-dezrina-27_lifestyle
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Q28 ) If Complex Number (z1+z2)by(z1-z2) = 1 then show that z1 by z2 is 0 or purely imaginary
Ans ( 28 )
http://www.dailymotion.com/video/x26g8xc_6-6-complex-number-z1-z2-by-z1-z2-1-then-z1-by-z2-is-0-or-purely-imaginary-28_lifestyle
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Q29 ) Please prove Complex Number Equilateral Theorem z1^2 + z2^2+z3^2 = z1 z2 + z2 z3 + z3 z1
Ans ( 29 )
http://www.dailymotion.com/video/x26g89x_6-7-complex-number-equilateral-theorem-z1-2-z2-2-z3-2-z1-z2-z2-z3-z3-z1-29_lifestyle
Solved again with z1 at origin
http://www.dailymotion.com/video/x26g7qo_6-8-iit-1983-complex-number-2-complex-numbers-form-an-equilateral-triangle-with-origin-29_lifestyle
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Q30 ) if ( 1+ i ) by ( 1 - i ) whole to the power n is 1 then find n [ IIT JEE 1980 ]
Ans ( 30 )
http://www.dailymotion.com/video/x26g7ia_6-9-iit-jee-complex-number-1980-1-i-by-1-i-simplification-trick-30_lifestyle
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Q31 ) if ( z - 5i ) by ( z + 5 i ) z is equidistant [ IIT JEE 1981 ]
Ans ( 31 )
http://www.dailymotion.com/video/x26g7bd_7-1-iit-jee-complex-number-1981-mod-of-z-5i-by-z-5-i-z-is-equidistant-31_lifestyle
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Q32 ) If z = ( root 3 by 2 plus i by 2 )^5 + ( conjugate )^5 then z is [ IIT JEE 1982 ]
Ans ( 32 )
http://www.dailymotion.com/video/x26g6tn_7-2-iit-jee-complex-number-1982-conjugate-of-symmetrical-conjugates-are-real-32_lifestyle
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Q33 ) If z = x + iy and w = ( 1 - iz ) by ( z - i ) and | w | = 1 then [ IIT JEE 1983 ]
Ans ( 33 )
http://www.dailymotion.com/video/x26g6kw_7-4-iit-jee-complex-number-1983-1-iz-by-z-i-tricks-and-equidistant-33_lifestyle
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Q34 ) If z1, z2, z3, and z4 make vertices of a parallelogram then find center [ IIT JEE 1983 ]
Ans ( 34 )
http://www.dailymotion.com/video/x26g5qt_7-5-iit-jee-complex-number-1983-centre-of-a-parallelogram-and-sides-34_lifestyle
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Q35 ) If | z1 + z2 | = | z1 | + | z2 | then Arg(z1) - Arg(z2) is ? [ IIT JEE 1987 ]
Ans ( 35 )
http://www.dailymotion.com/video/x26g56r_7-6-iit-jee-complex-number-1987-arg-z1-and-arg-z2-comes-out-to-be-same-35_lifestyle
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Q36 ) If | w | less than equal to 1 and | z + iw | = | z - iWbar | = 2 then Sum ?
Ans ( 36 )
http://www.dailymotion.com/video/x26g4pa_7-7-iit-jee-complex-number-1995-mod-z-and-w-less-than-1-also-equidistant-to-sum-2-36_lifestyle
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