One root of the cubic `2z^3-(5+ 6i)z^2 + 9iz +1-3i =0` is real. If all the three roots of thi
694 views · Published 13 October 2018 · 7:03 · Indexed 20 September 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW One root of the cubic `2z^3-(5+ 6i)z^2 + 9iz +1-3i =0` is real. If all the three roots of this cubic are plotted on the complex plane, the find the area of the triangle formed by them.
More from this channel
-
4:29
IIT JEE LIMITS AND DERIVATIVES Evaluate the limit:
`("lim")_(xvecoo)((x+2)/(x+1))^(x+3)`
-
2:47
JEE MAINS 2018 Find the points of local maxima and local minima,
if any, of each of the follo...
-
3:54
IIT JEE COMPLEX NUMBERS AND QUADRATIC EQUATIONS Find how many roots of the equations `x^4+2x^2-8x...
-
3:54
IIT JEE TRIGONOMETRIC FUNCTIONS One of the general solutions of `sqrt(3) cos theta-3 sin theta=4 ...
-
3:31
IIT JEE TRIGONOMETRIC FUNCTIONS In a triangle, if the angles `A , B ,a n dC`
are in A.P. show tha...
-
1:08
IIT JEE SEQUENCES AND SERIES The geometric mean between -9 and -16 is
`12`
b. `-12`
c. `-13`
d. ...
-
2:36
IIT JEE TRIGONOMETRIC FUNCTIONS In ` A B C ,`
as semicircle is inscribed, which lies on the side ...
-
4:25
IIT JEE TRIGONOMETRIC FUNCTIONS If `I`
is the incenter of ` A B Ca n dR_1, R_2,a n dR_3`
re, resp...