Home
Class 12
MATHS
The complex numbers 1,-1 and isqrt3 from...

The complex numbers `1,-1 and isqrt3` from a triangle which is-

A

equilateral triangle

B

isosceles triangle

C

right angled triangle

D

isosceles right angled triangle

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 3|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Prove that the complex numbers z_1,z_2 and the origin from an isoceles triangle with vertical angle (2pi)/3 if z_1^2+z_1z_2+z_2^2=0

z_(1) and z_(2) are two non-zero complex numbers, they form an equilateral triangle with the origin in the complex plane. Prove that z_(1)^(2)-z_(1)z_(2)+z_(2)^(2)=0

The complex numbers z_1,z_2 and z_3 satisfying (z_1-z_3)/(z_2-z_3)=(1-isqrt3)/2 are the verticles of a triangle which is:

Let the complex numbers z_1,z_2 and z_3 be the vertices of an equilateral triangle let z_0 be the circumcentre of the triangle then prove that z_1^2+z_2^2+z_3^2=3z_0^2

If a ,b ,c and u ,v ,w are the complex numbers representing the vertices of two triangles such that (c=(1-r)a+r b and w=(1-r)u+r v , where r is a complex number, then the two triangles (a)have the same area (b) are similar (c)are congruent (d) None of these

The points P,Q and R represent the complex numbers (sqrt2+isqrt2),(sqrt3+i) and (1+isqrt3) respectively in the z-plane. Show that the triangle PQR is isoseceles.

For the real parameter t, the locus of the complex number: z=(1-t^(2)) + isqrt(1+t^(2)) , in the complex plane is:

For the real parameter t,the locus of the complex number z=(1-t^2)+isqrt(1+t^2) in the complex plane is

In the complex plane, the vertices of an equlitateral triangle are represented by the complex numbers z_(1),z_(2) and z_(3) prove that, (1)/(z_(1)-z_(2))+(1)/(z_(2)-z_(3))+(1)/(z_(3)-z_(1))=0

If the vertices of an equilateral triangle be represented by the complex numbers z_(1),z_(2),z_(3) on the Argand diagram, then prove that, z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1).

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 5
  1. If (1+i) is a root of the equation x^(3) -5x ^(2) +9x -6 =0, then its ...

    Text Solution

    |

  2. Three numbers a,b,c are such that (a^(2) +ab+b ^(2))/(ab +bc +ca) =(a+...

    Text Solution

    |

  3. The complex numbers 1,-1 and isqrt3 from a triangle which is-

    Text Solution

    |

  4. Two roots of the quadratic equation x^(2) +(i -5)x +18 +i =0 are -

    Text Solution

    |

  5. The digit in the unit's place of the number [(183)! +3 ^(183)] is-

    Text Solution

    |

  6. If in the expansion of (1+x)^(n) the coefficient of 2nd, 3rd and 4th ...

    Text Solution

    |

  7. If 2(1- x) ge 3x+17, state which of the following true-

    Text Solution

    |

  8. In a distribution, coefficient of variation =5% and variance =4, then ...

    Text Solution

    |

  9. If a straight line passing through the focus of the parabola x ^(2) =4...

    Text Solution

    |

  10. If thte equation 3y^(2)+6y-5x-7=0 reduces to the form y ^(2) =ax when...

    Text Solution

    |

  11. The line-segment the points (3,4) and (2,-3) is divided by x-axis in t...

    Text Solution

    |

  12. Find the area of the triangle formed by the lines y - x = 0, x + y = 0...

    Text Solution

    |

  13. C is a point on the line-segment joining the points A (2,-3,4) and B(8...

    Text Solution

    |

  14. If lx+my+n=0 is the perpendicular bisector of the segment of line join...

    Text Solution

    |

  15. The radius of the circle x ^(2) +y^(2) +4x+6y+13=0 is-

    Text Solution

    |

  16. The two circles x ^(2)+y^(2)-2x +22y +5=0 and x ^(2) + y^(2) +14 x+6y ...

    Text Solution

    |

  17. The image of the origin with reference to the line 4x+3y=25 is -

    Text Solution

    |

  18. Lex x is even natural number less than 12, then domain of the relation...

    Text Solution

    |

  19. If the circles x ^(2) +y^(2) +2ax+cy+a=0 and x ^(2) +y^(2) -3ax+dy-1=0...

    Text Solution

    |

  20. The lines parallel ot the x-axis and passing through the intersection ...

    Text Solution

    |