Home
Class 11
MATHS
If P is any point on ellipse with foci ...

If `P` is any point on ellipse with foci `S_1 & S_2` and eccentricity is `1/2` such that `/_PS_1S_2=alpha,/_PS_2S_1=beta,/_S_1PS_2=gamma` , then `cot(alpha/2), cot(gamma/2), cot(beta/2)` are in

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If P is any point lying on the ellipse x^2/a^2+y^2/b^2=1 , whose foci are S and S' . Let /_PSS'=alpha and /_PS'S=beta ,then

P is a variable point on the ellipse with foci S_1 and S_2 . If A is the area of the the triangle PS_1S_2 , the maximum value of A is

If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci S a n d S ' and eccentricity e , then prove that the area of Δ S P S ' is be sqrt(a^2-alpha^2)

If P is a point on the ellipse (x^(2))/16+(y^(2))/25=1 whose foci are S and S', then PS+PS'=8.

P is any point lying on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(agtb) whose foci are S and S'. If anglePSS'=alpha and anglePS'S=beta , then the value of tan.(alpha)/(2)tan.(beta)/(2) is

If P is a point on the ellipse (X^(2))/(9) + (y^(2))/(4) =1 whose foci are S and S' then the value of PS + PS' is

If tan beta=2sin alpha sin gamma co sec(alpha+gamma) , then cot alpha,cot beta,cotgamma are in

If alpha + beta + gamma = π/2 and cot alpha, cot beta, cot gamma are in Ap. Then cot alpha. Cot gamma

Let P be a variable point on the ellipse with foci S_(1) and S_(2) . If A be the area of trianglePS_(1)S_(2) then find the maximum value of A

If alpha+beta+gamma=pi , prove that : cos^2 alpha + cos^2 beta + cos^2 gamma+2cosalpha cosbeta cosgamma=1 .

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A circle has the same center as an ellipse and passes through the foci...

    Text Solution

    |

  2. The length of the transverse axis of the rectangular hyperbola x y=18 ...

    Text Solution

    |

  3. If P is any point on ellipse with foci S1 & S2 and eccentricity is 1/...

    Text Solution

    |

  4. The locus of the point which is such that the chord of contact of t...

    Text Solution

    |

  5. Find the range of eccentricity of the ellipse x^2/a^2+y^2/b^2=1, (wher...

    Text Solution

    |

  6. The angle between the lines joining origin to the points of intersect...

    Text Solution

    |

  7. the equation of the chord of contact of the pair of tangents drawn to ...

    Text Solution

    |

  8. The equation to the chord joining two points (x1,y1) and (x2,y2) on th...

    Text Solution

    |

  9. The equation of the line passing through the center and bisecting the ...

    Text Solution

    |

  10. If P(x1,y1),Q(x2,y2),R(x3,y3) and S(x4,y4) are four concyclic points...

    Text Solution

    |

  11. Let P be any point on any directrix of an ellipse. Then the chords of...

    Text Solution

    |

  12. Suppose the circle having equation x^2+y^2=3 intersects the rectangula...

    Text Solution

    |

  13. The length of the sides of the square which can be made by four per...

    Text Solution

    |

  14. If two points P & Q on the hyperbola ,x^2/a^2-y^2/b^2=1 whose centre i...

    Text Solution

    |

  15. The line y=m x-((a^2-b^2)m)/(sqrt(a^2+b^2m^2)) is normal to the ellise...

    Text Solution

    |

  16. Let C be a curve which is the locus of the point of intersection of li...

    Text Solution

    |

  17. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

    Text Solution

    |

  18. The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at r...

    Text Solution

    |

  19. If the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is inscribed in a rectangle w...

    Text Solution

    |

  20. The chord P Q of the rectangular hyperbola x y=a^2 meets the axis of x...

    Text Solution

    |