Home
Class 12
MATHS
Let C be the centre, BCB the minor axis ...

Let C be the centre, BCB the minor axis and S the focus (ae, 0) for the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1. B ' S` is produced to meet the ellipse again in the point P. If CP makes an angle `varphi` with the positive direction of x-axis then `tanvarphi` is equal to `((a-e^2)^(3/2))/e` (b) `((1-e^2)^(3/2))/(2e)` `((1-e^2)^(1/2))/2` (d) `((1-e^2)^(-1/2))/e`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let S, S' be the focil and BB' be the minor axis of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1. If angle BSS' = theta , then the eccentricity e of the ellipse is equal to

Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with eccentricity e is

S and T are the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and B is an end of the minor axis.If STB is an equilateral triangle,the eccentricity of the ellipse is e then find value of 4e

If the normal at the end of latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through (0,b) then e^(4)+e^(2) (where e is eccentricity) equals

Let S and S'' be the fociof the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose eccentricity is e. P is a variable point on the ellipse. Consider the locus the incenter of DeltaPSS'' The eccentricity of the locus of the P is

The normal at a variable point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 of eccentricity e meets the axes of the ellipse at Q and R .Then the locus of the midpoint of QR is a conic with eccentricity e' such that e' is independent of e(b)e'=1e'=e(d)e'=(1)/(e)

Find the area bounded by the ellipse (x ^(2))/( a ^(2)) + ( y ^(2))/( b ^(2)) =1 and the ordinates x = ae and x =0, where b ^(2) =a ^(2) (1-e ^(2)) and e lt 1.

If the normal at an end of a latus-rectum of an elipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one extremity of the minor axis,show that the eccentricity of the ellipse is given by e^(4)+e^(-1)=0

A random variable X has poisson distribution with mean 2. Then P(x>1.5) is equal to (A) (2)/(e^(2))(B)0(C)1-(3)/(e^(2))(D)(3)/(e^(2))

RESONANCE DPP-JEE MAINS-All Questions
  1. If lim(n to oo) sum(k=2)^(n)cos^(-1)((1+sqrt((k-1)(k+2)(k+1)k))/(k(k+...

    Text Solution

    |

  2. Number of ways in which 7 people can occupy six seats, 3 seats on each...

    Text Solution

    |

  3. Let C be the centre, BCB the minor axis and S the focus (ae, 0) for ...

    Text Solution

    |

  4. Two non-negative integers are chosen at random, then the probability ...

    Text Solution

    |

  5. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

    Text Solution

    |

  6. If variance of variables a ,2a ,2a ,3a ,3a ,3a ,dot,10 a is 54 then va...

    Text Solution

    |

  7. If mean of squares of deviations of a set of n observations about -2a ...

    Text Solution

    |

  8. The angles of a triangle are in A.P. If the greatest angle is double ...

    Text Solution

    |

  9. The area of the quadrilateral formed by the tangents at the endpoint o...

    Text Solution

    |

  10. A class consists of a number of boys whose ages are in A.P., the commo...

    Text Solution

    |

  11. If 7 times the 7th term of an A.P. is equal to 11 times its elevent...

    Text Solution

    |

  12. A bag contains 50 tickets numbered 1,2,3..., 50 of which five are draw...

    Text Solution

    |

  13. The minimum area of triangle formed by the tangent to the ellipse (x^2...

    Text Solution

    |

  14. int(x^2-1)/(xsqrt(1+x^4)) dx

    Text Solution

    |

  15. If the solution of the differential equation (dy)/(dx)=1/(xcosy+sin2y)...

    Text Solution

    |

  16. Two tangents to the parabola y^(2) = 8x meet the tangent at its vertex...

    Text Solution

    |

  17. The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and t...

    Text Solution

    |

  18. Consider 8 vertices of a regular octagon and its centre. If T denotes ...

    Text Solution

    |

  19. IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n...

    Text Solution

    |

  20. There are 720 permutations of the digits 1, 2, 3, ,4 5, 6. Suppose the...

    Text Solution

    |