Home
Class 10
MATHS
If (alpha1,beta1),(alpha2,beta2),(alpha3...

If `(alpha_1,beta_1),(alpha_2,beta_2),(alpha_3,beta_3)and(alpha_4,beta_4)` are the vertices of a parallelogram,show that `alpha_1+alpha_3=alpha_2+alpha_4` and `beta_1+beta_3=beta_2+beta_4`.

Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    R G PUBLICATION|Exercise EXERCISE|70 Videos

  • CIRCLES

    R G PUBLICATION|Exercise EXERCISE|34 Videos

  • CONSTRUCTIONS

    R G PUBLICATION|Exercise EXERCISE|1 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the zeroes of 2x^2+5x-9 ,then the value of alpha*beta is

If alpha,beta , are the zeroes of the polynomial ax^2+bx+c ,then alpha^2+beta^2 =

if tanalpha , tanbeta are the roots of x^2+px+q=0 ,show that sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+q cos^2(alpha+beta)=q

If alpha,beta , be the zeroes of the polynomial 2x^2+5x+k such that alpha^2+beta^2+alphabeta=21/4 then k=

If alpha and beta are the zeros of the polynomial ax^2+bx+c . Find the value of alpha^2 + beta^2 + alpha beta

If cos(alpha+beta)=4/5 , sin(alpha-beta)=5/13 and if 0 < alpha < pi /4 , 0 < beta < pi /4 , find the value of tan2alpha .

If alpha , beta are the zeroes of the polynomial x^2-3x+ 2 , then find the polynomial whose zeroes are 3alpha and 3beta .

If cos alpha=13/14 and cos beta=1/7 where alpha and beta are acute angles,show that alpha-beta=pi/3 .

If alpha,beta are the zeroes of f(x)=2x^2+6x-6 ,then a) alpha+beta+alpha beta=0 b) alpha+beta=alpha beta c) alpha+betagtalpha beta d) alpha+betaltalpha beta

If alpha,beta are the zeroes of the polynomial f(x)=x^2+x+1 then 1/alpha+1/beta is____

R G PUBLICATION-CO-ORDINATE GEOMETRY-EXERCISE
  1. If (alpha1,beta1),(alpha2,beta2),(alpha3,beta3)and(alpha4,beta4) are t...

    Text Solution

    |

  2. Find the distance between the following pairs of points:(i)(2,3),(4,1)

    Text Solution

    |

  3. Find the distance between the following pairs of points:(ii)(-5,7),(-1...

    Text Solution

    |

  4. Find the distance between the following pairs of points:(iii)(a,b),(-a...

    Text Solution

    |

  5. Find the distance between the points(0,0) and (36,15).

    Text Solution

    |

  6. Determine if the points (1,5),(2,3) and (-2,-11) are collinear.

    Text Solution

    |

  7. Check whether (5,-2),(6,4) and (7,-2) are the vertices of an isosceles...

    Text Solution

    |

  8. In a classroom.4 friends are seated at the points A,B,C and D as shown...

    Text Solution

    |

  9. Name the type of quadrilateral formed,if any,by the following points,a...

    Text Solution

    |

  10. Name the type of quadrilateral formed,if any,by the following points,a...

    Text Solution

    |

  11. Name the type of quadrilateral formed,if any,by the following points,a...

    Text Solution

    |

  12. Find the point on the x-axis which is equidistance from(2,-5) and (-2,...

    Text Solution

    |

  13. Find the value of y for which the distance between the pointsP(2,-3) a...

    Text Solution

    |

  14. If Q(0,1) is equidistant from P(5,-3) and R(x,6).Find the values of x....

    Text Solution

    |

  15. Find a relation between x and y such that the point(x,y) is equidista...

    Text Solution

    |

  16. Find the coordinates of the point which divides the join of (-1,7) and...

    Text Solution

    |

  17. Find the coordinates of the points of trisection of the line segment j...

    Text Solution

    |

  18. Find the ratio in which the line segment joining the points (-3,10) an...

    Text Solution

    |

  19. Find the ratio in which the line segment joining A(1,-5) and B(-4,5) i...

    Text Solution

    |

  20. If (1,2),(4,y),(x,6) and (3,5) are the vertices of a parallelogram tak...

    Text Solution

    |

  21. Find the coordinates of a point A,where AB is the diameter of a circle...

    Text Solution

    |