Home
Class 12
MATHS
If u=(2z+i)/(z-ki) where z=x+iy and k gt...

If `u=(2z+i)/(z-ki)` where `z=x+iy` and `k gt 0`
Curve `Re(u)+Im(u)=` cuts y-axis at two point P and Q such that PQ=5 then value of k is

A

`1//2`

B

4

C

2

D

`3//2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

If |(z +4)/(2z -1)|=1, where z =x +iy. Then the point (x,y) lies on a:

If Re((z-1)/(2z+i))=1, where z=x+iy ,then the point (x,y) lies on a

if Im((z+2i)/(z+2))= 0 then z lies on the curve :

Consider the curves C_(1):|z-2|=2+Re(z) and C_(2):|z|=3 (where z=x+iy,x,y in R and i=sqrt(-1) .They intersect at P and Q in the first and fourth quadrants respectively.Tangents to C_(1) at P and Q intersect the x- axis at R and tangents to C_(2) at P and Q intersect the x -axis at S .If the area of Delta QRS is lambda sqrt(2) ,then find the value of (lambda)/(2)

Locus of z in the following curves: Im(z)=|z-(1+2i)| and 4-Im(z)=|z-(1+2i)| represent A and B respectively. If locus of z in arg (z-(1+2i))=theta intersect A and B at points P(z_(1)) and Q(z_(2)) respectively, then minimum value of |z_(1)-(1+2i)||z_(2)-(1+2i)| is: (Re(z_(1))+Re(z_(2))!=2)

If arg(z-1)=arg(z+2i), then find (x-1):y, where z=x+iy

If z+sqrt(2)|z+1|+i=0 and z=x+iy then

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. The integral int((X)/(xsinx + cosx))^2dx is equal to (where C is a c...

    Text Solution

    |

  2. Let f(x) =intsqrtx/((1+x)^2)dx(xge0) . The f(3) - f(1) is equal to :

    Text Solution

    |

  3. If u=(2z+i)/(z-ki) where z=x+iy and k gt 0 Curve Re(u)+Im(u)= cuts y...

    Text Solution

    |

  4. Let x0 be the point of local maxima of f(x)= veca.(vecbxxvecc), where ...

    Text Solution

    |

  5. Let [t] denote the greatest integer st. Then the equation in x,[x]^2+2...

    Text Solution

    |

  6. xy'-y=x^2(xcosx+sinx) and if f(pi)=pi then find f''(pi/2)+f(pi/2)=

    Text Solution

    |

  7. If f(x)=|x-2|, x in [0,4] and g(x)=f(f(x)). Find int2^3 (g(x)-f(x))dx.

    Text Solution

    |

  8. If (2x^2+3x+4)^(10)=sum(r=0)^(20) ar x^r, then (a7)/(a(13)=

    Text Solution

    |

  9. If the equation of a plane P , passing through in the intersection of ...

    Text Solution

    |

  10. If probability of hitting a target is 1/10, Then number of shot requir...

    Text Solution

    |

  11. Let f: R rarr R be a differentiable function satisfying f(x+y)=f(x)+f(...

    Text Solution

    |

  12. If the system of equations x-2y+3z=9 2x+y+z=b x-7y+az=24 , has i...

    Text Solution

    |

  13. The intergral int(1)^(2) e^(x) . X^(2) (2 + log(e)x) dx equals "

    Text Solution

    |

  14. The are ( insq . Units) of the region enclosed by the curves y = x...

    Text Solution

    |

  15. If the angle of elevation of the top of a summit is 45^@ and a person ...

    Text Solution

    |

  16. The set of all real value of lambda for which the functio f(x) =...

    Text Solution

    |

  17. If alpha,beta are the roots of equation 2x(2x+1)=1 then beta=

    Text Solution

    |

  18. For all twice differentiable functions f : R to R , with f(0) = f...

    Text Solution

    |

  19. If y = ((2)/(pi) x - 1) cosec x the solution of the differential eq...

    Text Solution

    |

  20. Let L denote the line in the x - y plane with x and y intercepts as...

    Text Solution

    |