Home
Class 12
MATHS
The line joining A(bcosalpha,bsinalpha) ...

The line joining `A(bcosalpha,bsinalpha)` and `B(acosbeta,asinbeta)` is produced to the point `M(x ,y)` so that `A M` and `B M` are in the ratio `b : adot` Then`xcos((alpha+beta)/2)+ysin((alpha+beta)/2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|9 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE ENGLISH|Exercise Comprehension Type|2 Videos

Similar Questions

Explore conceptually related problems

The line joining A(bcosalpha,bsinalpha) and B(acosbeta,asinbeta) is produced to the point M(x ,y) so that A M and B M are in the ratio b : adot Then prove that x+ytan((alpha+beta)/2)=0.

If alpha-beta= constant, then the locus of the point of intersection of tangents at P(acosalpha,bsinalpha) and Q(acosbeta,bsinbeta) to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is: (a) a circle (b) a straight line (c) an ellipse (d) a parabola

If alpha,beta be the roots of the equation x^(2)+lx+m=0 , then from an equation whose roots are : (alpha+beta)^(2)and(alpha-beta)^(2)

If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , then find the equation whose roots are (alpha+beta)^2a n d(alpha-beta)^2

If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)/2) is equal to-

If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^2(alpha-beta) + 2ab cos(alpha-beta)

If sin alpha + sin beta=a and cos alpha+cosbeta=b then tan((alpha-beta)/2) is equal to

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

Under rotation of axes through theta , x cosalpha + ysinalpha=P changes to Xcos beta + Y sin beta=P then . (a) cos beta = cos (alpha - theta) (b) cos alpha= cos( beta - theta) (c) sin beta = sin (alpha - theta) (d) sin alpha = sin ( beta - theta)

If alpha , beta are the roots of ax^2+bx +c=0 then (a alpha + b)^(-2)+( a beta + b)^(-2) =

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The points (a , b),(c , d), and ((k c+l a)/(k+l),(k d+l b)/(k+l)) are ...

    Text Solution

    |

  2. The circumcenter of the triangle formed by the line y=x ,y=2x , and ...

    Text Solution

    |

  3. The line joining A(bcosalpha,bsinalpha) and B(acosbeta,asinbeta) is pr...

    Text Solution

    |

  4. If the middle points of the sides of a triangle are (-2,3),(4,-3),a...

    Text Solution

    |

  5. In what ratio does the x-axis divide the line segment joining the po...

    Text Solution

    |

  6. If (1,4) is the centroid of a triangle and the coordinates of its a...

    Text Solution

    |

  7. If (xi ,yi),i=1,2,3, are the vertices of an equilateral triangle s...

    Text Solution

    |

  8. A particle just clears a wall of height b at distance a and strikes...

    Text Solution

    |

  9. Find the locus of a point, so that the join of (-5,1) and (3,2) subten...

    Text Solution

    |

  10. The sum of the squares of the distances of a moving point from two ...

    Text Solution

    |

  11. A B is a variable line sliding between the coordinate axes in such ...

    Text Solution

    |

  12. A rod of length l slides with its ends on two perpendicular lines. ...

    Text Solution

    |

  13. Find the locus of the point (t^2-t+1,t^2+t+1),t in R.

    Text Solution

    |

  14. Find the locus of a point such that the sum of its distance from the...

    Text Solution

    |

  15. Two points P(a,0) and Q(-a,0) are given. R is a variable point on o...

    Text Solution

    |

  16. If the coordinates of a variable point P are (acostheta,bsintheta), wh...

    Text Solution

    |

  17. Find the locus of a point whose distance from (a, 0) is equal to it...

    Text Solution

    |

  18. The coordinates of the point A and B are (a,0) and (-a ,0), respecti...

    Text Solution

    |

  19. The locus of the foot of perpendicular drawn from origin to a variabl...

    Text Solution

    |

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

    Text Solution

    |