Home
Class 11
MATHS
If Z = x^2 - 7x - 9yi such that bar Z = ...

If Z = `x^2 - 7x - 9yi` such that `bar Z = y^2 i + 20i - 12` then the number of order pair (x,y) is :

Text Solution

Verified by Experts

`Z=x^2-7x-9yi`
`overlineZ=x^2-7x+9yi`
`x^2-7x=-12`
`x^2-7x+12=0`
`x=3,4`
`(y^2+20)i-12`
`y^2+20=9y`
`y^2-9y+20=0`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

xyz=24 , x,y,z in N. Then find the number of order pairs (x,y,z)

If (x^(4)+2x i)-(3x^(2)+yi)=(3-5i)+(1+2yi) then the number of ordered pairs (x, y) is/are equal to {AA x,y in R and i^(2)=-1}

If (x^(4)+2x i)-(3x^(2)+yi)=(3-5i)+(1+2yi) then the number of ordered pairs (x, y) is/are equal to {AA x,y in R and i^(2)=-1}

Given that abs(z+i)=abs(z-i)=abs(z-1) and z=x+iy find number of pairs (x,y)

If 4 x^(2) + 9y^(2) + z^(2) + 49 = 12 ( x+ y + z) , then what is the value of (4x + 9y - z) ?

If z=x+i y , then show that z bar z +2(z+ bar z )+a=0 , where a in R , represents a circle.

If z=-3x+2yi and barz=6+4i , find the values of x and y.

Let A=[(0, 2y,z),(x,y,-z),(x,-y,z)] such that A^(T)A=I , then the value of x^(2)+y^(2)+z^(2) is