Home
Class 11
MATHS
The points A(0,0),B(cosalpha,sinalpha) a...

The points `A(0,0),B(cosalpha,sinalpha)` and `C(cosbeta,sinbeta)` are the vertices of a right-angled triangle then

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the points O (0,0), A(cos alpha, sin alpha), B(cos beta, sin beta) are the vertices of a right-angled triangle, then |sinfrac((alpha-beta))(2)| =

Show that the points (0,7,10), (-1,6,6) and (-4,9,6) are the vertices of a right angled isosceles triangle.

Show that the points (6,6) , (2,3) and (4,7) are the vertices of a right angled triangle

Show that the points A=(2,-1,1),B=(1,-3,-5) and C=(3,-4,-4) are vertices of a right angled triangle (using vector method).

Without using the Pythagoras theorem, show that the points (4,4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.

The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtuse-angled triangle (B) an acute-angled triangle (C) a right-angled triangle (D) none of these

Prove that A(3,3) B (8,-2) and C(-2,-2) are the vertices of a right - angled isosceles triangle . Also, find the length of the hypotenuse of triangle(ABC)

P(cosalpha,sinalpha), Q(cosbeta, sinbeta) , R(cosgamma, singamma) are vertices of triangle whose orthocenter is (0, 0) then the value of cos(alpha-beta) + cos(beta-gamma) + cos(gamma-alpha) is

Show that the points (3,0),(6,4) and (-1,3) are the vertices of a right angled isosceles triangle.

Prove that the points (1,-3,1), (0,1,2), (2,-1,3) are the vertices of an isosceles right angled triangle

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If all the vertices of a triangle have integral coordinates, then th...

    Text Solution

    |

  2. The locus of a point reprersented by x=a/2((t+1)/t),y=a/2((t-1)/t) , w...

    Text Solution

    |

  3. The points A(0,0),B(cosalpha,sinalpha) and C(cosbeta,sinbeta) are the ...

    Text Solution

    |

  4. The ends of a diagonal of a square are (2,-3) and (-1,1)dot Another ve...

    Text Solution

    |

  5. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from.

    Text Solution

    |

  6. A rectangular billiard table has vertices at P(0,0) , Q(0,7),R(10,7), ...

    Text Solution

    |

  7. If one side of a rhombus has endpoints (4, 5) and (1, 1), then the m...

    Text Solution

    |

  8. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

    Text Solution

    |

  9. If a straight line through the origin bisects the line passing through...

    Text Solution

    |

  10. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O ...

    Text Solution

    |

  11. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

    Text Solution

    |

  12. Point A and B are in the first quadrant,point O is the origin. If the ...

    Text Solution

    |

  13. In a A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3), point A lies on the li...

    Text Solution

    |

  14. If y=ae^(mx)+be^(-mx), then (d^2y)/dx^2-m^2y is equals to (a)....

    Text Solution

    |

  15. The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the ...

    Text Solution

    |

  16. The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtu...

    Text Solution

    |

  17. Consider the triangle whose vetices are (0,0) , (5,12) and (16,12).

    Text Solution

    |

  18. A Point A divides the join of P(-5,1) and Q(3.5) in the ratio k:1. The...

    Text Solution

    |

  19. Find the equation of the circle having center at (2,3) and which tou...

    Text Solution

    |

  20. If the lines x+y=6 and x+2y=4 are diameters of the circle which passes...

    Text Solution

    |