Home
Class 12
MATHS
If A(cosalpha,sinalpha),B(sinalpha,-cosa...

If `A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2)` are the vertices of ` A B C ,` then as `alpha` varies, find the locus of its centroid.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE PUBLICATION|Exercise All Questions|238 Videos

Similar Questions

Explore conceptually related problems

If tantheta=(sin alpha-cos alpha)/(sinalpha+cosalpha)1 then

If A = [(cosalpha, sinalpha),(-sinalpha,cosalpha)] prove that, A A^(') = I. Hence, find A^(-1) .

If 3cos alpha-4sinalpha=5 , show that, 3sinalpha+4cosalpha=0 .

(cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2 =

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

If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],t h e n prove that [F(alpha)]^(-1)=F(-alpha)dot

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

If (2sinalpha)/(1+cosalpha+sinalpha) =x, then (1-cosalpha+sinalpha)/(1+sinalpha) =

For a real number alpha , let A(alpha) denote the matrix ((cosalpha,sinalpha),(-sinalpha,cosalpha)) . Then for real numbers alpha_(1) and alpha_(2) , the value of A(alpha_(1))A(alpha_(2)) is -

Find the amplitude of sinalpha+i(1-cosalpha)

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The locus of the foot of perpendicular drawn from origin to a variabl...

    Text Solution

    |

  2. A variable line through the point P(2,1) meets the axes at a an d b...

    Text Solution

    |

  3. If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...

    Text Solution

    |

  4. Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the ...

    Text Solution

    |

  5. Convert the following polar coordinates to its equivalent Cartesian ...

    Text Solution

    |

  6. Convert the following Cartesian coordinates to the corresponding po...

    Text Solution

    |

  7. A straight line is drawn through P(3,4) to meet the axis of x and y...

    Text Solution

    |

  8. A variable line through the point P(2,1) meets the axes at a an d b...

    Text Solution

    |

  9. A point moves such that the area of the triangle formed by it with ...

    Text Solution

    |

  10. Find the locus of the point of intersection of lines xcosalpha+ysin...

    Text Solution

    |

  11. Find the locus of the middle point of the portion of the line xcosa...

    Text Solution

    |

  12. Q is a variable point whose locus is 2x+3y+4=0; corresponding to a ...

    Text Solution

    |

  13. Convert y=10 into a polar equation.

    Text Solution

    |

  14. Convert the following Cartesian coordinates to the corresponding po...

    Text Solution

    |

  15. Find the minimum distance of any point on the line 3x+4y-10=0 from ...

    Text Solution

    |

  16. Let ...

    Text Solution

    |

  17. Express the polar equation r=2costheta in rectangular coordinates.

    Text Solution

    |

  18. Column I, Column II A tx=1,f(x)={logx ,x<1 2x-x^2, xgeq1 , p. is ...

    Text Solution

    |

  19. Convert rsintheta=rcostheta+4 into its equivalent Cartesian equatio...

    Text Solution

    |

  20. Convert r=cos e ctheta e^(rcostheta) into its equivalent Cartesian e...

    Text Solution

    |