Home
Class 11
MATHS
If one vertex of a square whose diagonal...

If one vertex of a square whose diagonals intersect at the origin is `3(costheta+isintheta)` , then find the two adjacent vertices.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos
  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If one of the vertices of a square is (3,2) and one of the diagonalls is along the line 3x+4y+8=0, then find the centre of the square and other vertices.

If one vertex of an equilateral triangle of side a, lies at the origin and the other lies on the line x-sqrt3y=0 , the coordinates of the third vertex are

A(-3, 5) and B(1, 7) are two consecutive vertices of a parallelogram. If the point of intersection of its diagonals be (1, 1), then find its other two vertices.

The center of a square is at the origin and its one vertex is A(2,1)dot Find the coordinates of the other vertices of the square.

If one vertex of the triangle having maximum area that can be inscribed in the circle |z-i|=5 is 3-3i , then find the other vertices of the triangle.

(3,2) and (-3,2) are the vertices of an equilateral triangle which contains the origin within it, what are the coordinates of the third vertex ?

Find the equation of the curve whose parametric equations are x=1+4costheta,y=2+3sintheta,theta in R .

One diagonal of a square is the intercept of the line x/a+y/b=1 between the axes. Find the coordinates of other two vertices

Two sides of a rhombus ABCD are parallel to the lines y = x + 2 and y = 7x + 3 If the diagonals of the rhombus intersect at the point (1, 2) and the vertex A is on the y-axis, then vertex A can be

Let A B C D be a parallelogram whose diagonals intersect at P and let O be the origin. Then prove that vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

    Text Solution

    |

  2. If |z|=1, then the point representing the complex number -1+3z will li...

    Text Solution

    |

  3. If one vertex of a square whose diagonals intersect at the origin is 3...

    Text Solution

    |

  4. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 ar...

    Text Solution

    |

  5. Find the center of the are represented by a r g[(z-3i)//(z-2i+4)]=pi//...

    Text Solution

    |

  6. Let |zr-r|lt=r ,AAr=1,2,3,... ,n Then |sum(r=1)^n Zr| is less than n ...

    Text Solution

    |

  7. If a^2+b^2+c^2=1,t h e na b+b c+c a lie in the interval a.[1/3,2] ...

    Text Solution

    |

  8. z1a n dz2 are the roots of 3z^2+3z+b=0. if O(0),(z1),(z2) form an equi...

    Text Solution

    |

  9. Consider the given equation 11 z^10 + 10 i z^9 + 10 i z - 11 =0, then ...

    Text Solution

    |

  10. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

    Text Solution

    |

  11. If 8iz^3+12z^2-18z+27i=0, then (a). |z|=3/2 (b). |z|=2/3 (c). |z|...

    Text Solution

    |

  12. Let z1, z2a n dz3 represent the vertices A ,B ,a n dC of the triangl...

    Text Solution

    |

  13. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

    Text Solution

    |

  14. If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=...

    Text Solution

    |

  15. If |z| < sqrt(2)-1,t h e n|z^2+2zcosalpha|i s a. less than 1 b. sqr...

    Text Solution

    |

  16. On the Argand plane z1, z2a n dz3 are respectively, the vertices of an...

    Text Solution

    |

  17. If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 t...

    Text Solution

    |

  18. Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are ...

    Text Solution

    |

  19. Find the locus of the points representing the complex number z for...

    Text Solution

    |

  20. The equation x-2/(x-1)=1-2/(x-1) has a. no root b. one root c. t...

    Text Solution

    |