Home
Class 12
MATHS
z1a n dz2 lie on a circle with center at...

`z_1a n dz_2` lie on a circle with center at the origin. The point of intersection `z_3` of he tangents at `z_1a n dz_2` is given by `1/2(z_1+( z )_2)` b. `(2z_1z_2)/(z_1+z_2)` c. `1/2(1/(z_1)+1/(z_2))` d. `(z_1+z_2)/(( z )_1( z )_2)`

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

If z_1=2-i ,z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If z_1=2-i ,\ z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)| .

If z_1=2-i ,\ z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If z_1=2-i ,z_2=1+i , find |(z_1+z_2+1)/(z_1-z_2+i)|

If |z_1|=1a n d|z_2|=2,t h e n Max (|2z_1-1+z_2|)=4 Min (|z_1-z_2|)=1 |z_2+1/(z_1)|lt=3 Min (|z_1=z_2|)=2

Which of the following is correct for any tow complex numbers z_1a n dz_2? (a) |z_1z_2|=|z_1||z_2| (b) a r g(z_1z_2)=a r g(z_1)a r g(z_2) (c) |z_1+z_2|=|z_1|+|z_2| (d) |z_1+z_2|geq|z_1|+|z_2|

Which of the following is correct for any tow complex numbers z_1a n dz_2? |z_1z_2|=|z_1||z_2| (b) a r g(z_1z_2)=a r g(z_1)a r g(z_2) (c) |z_1+z_2|=|z_1|+|z_2| (d) |z_1+z_2|geq|z_1|+|z_2|

If z_1ne-z_2 and |z_1+z_2|=|1/z_1 + 1/z_2| then :

Let z_1 and z_2 be two non - zero complex numbers such that z_1/z_2+z_2/z_1=1 then the origin and points represented by z_1 and z_2

For two complex numbers z_1&z_2 (a z_1+b z_1)(c z_2+d z_2)=(c z_1+bz_2)if(a , b , c , d in R):

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Given a > b >0,a1> b1>0, area of ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is ...

    Text Solution

    |

  2. Given the following simultaneous equation for vectors vec xa n d vec ...

    Text Solution

    |

  3. z1a n dz2 lie on a circle with center at the origin. The point of inte...

    Text Solution

    |

  4. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

    Text Solution

    |

  5. The distance of point (-1, -5, -10) from the plane 10 x+2y-z=0 measure...

    Text Solution

    |

  6. The exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5...

    Text Solution

    |

  7. In A B C ,(a b-r1r2)/(r3),w h e r ea ,b ,r1r2, r3, Ra n dr have usual ...

    Text Solution

    |

  8. Find the number of numbers of five digits that can be made with the ...

    Text Solution

    |

  9. In a set of five games in between two players A and B, the probabil...

    Text Solution

    |

  10. How many three –digit numbers are there which are divisible by 5 as we...

    Text Solution

    |

  11. The area bounded by the curve y^2=4x and the double ordinate x=2, is 4...

    Text Solution

    |

  12. int1^(e^(17))(pi"sin"(pi(log)e x))/x dx is equal to (A) 2 (B) -2 ...

    Text Solution

    |

  13. From a group of 10 persons consisting of 5 lawyers, 3 doctors and 2 ...

    Text Solution

    |

  14. A die is thrown a fixed number of times. If probability of getting eve...

    Text Solution

    |

  15. If f(x) satisfies the condition of Rolle's theorem in [1,2], then int1...

    Text Solution

    |

  16. The antiderivative of (2^x)/(sqrt(1-4^x)) w.r.t x is (A) (log)2edotsin...

    Text Solution

    |

  17. The minimum value of, 25cosec^2x+16sin^2x is (A) 41 (B) 42 (C) 43 ...

    Text Solution

    |

  18. if the graph of the cont. function y=f(x) passes through the point (a,...

    Text Solution

    |

  19. The sum of the intercepts made by the plane a x+b y+c z=d on the three...

    Text Solution

    |

  20. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

    Text Solution

    |