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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|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

If e' is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) , then

If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (where,a lt b), then

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

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

The normal at an end of a latus rectum of the ellipse x^2/a^2 + y^2/b^2 = 1 passes through an end of the minor axis if (A) e^4+e^2=1 (B) e^3+e^2=1 (C) e^2+e=1 (D) e^3+e=1

Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If a circle described on S S^(prime) as diameter intersects the ellipse at real and distinct points, then the eccentricity e of the ellipse satisfies (a) e=1/(sqrt(2)) (b) e in (1/(sqrt(2)),1) (c) e in (0,1/(sqrt(2))) (d) none of these

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 Qa n dRdot Then the locus of the midpoint of Q R is a conic with eccentricity e ' such that (a) e^(prime) is independent of e (b) e^(prime)=1 (c) e^(prime)=e (d) e^(prime)=1/e

The difference between the lengths of the major axis and the latus rectum of an ellipse is a. a e b. 2a e c. a e^2 d. 2a e^2

The sum of the squares of the perpendiculars on any tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 from two points on the minor axis each at a distance a e from the center is (a) 2a^2 (b) 2b^2 (c) a^2+b^2 a^2-b^2

RESONANCE DPP ENGLISH-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 6 seats, 3 seats on eac...

    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 a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)= alpha " and...

    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 (in sq. units) of the quadrilateral formed by the tangents ...

    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 d...

    Text Solution

    |

  13. The minimum area of the triangle formed by the tangent to (x^2)/(a^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 th...

    Text Solution

    |