Home
Class 12
MATHS
The normal at a poitn P( theta) on the...

The normal at a poitn `P( theta) ` on the ellipse `5x^(2) +14y^(2) =70 ` cuts the curve again at a point Q ` (2theta) then "cos" theta `

A

A) ` (1)/(3) `

B

B) ` -(1)/(3) `

C

C) ` ( 2)/(3) `

D

D) ` ( -2)/(3) `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

The tangent at a point P(theta) to the ellipse x^2/a^2+y^2/b^2=1 cuts the auxilliary circle at Q and R. If QR subtend a right angle at C (centre) then show that e=1/sqrt(1+sin^2 theta)

If cos 2theta + cos 8theta = cos 5theta then theta =

The tangent and normal to the ellipse x^(2)+4y^(2)=4 at a point P(theta) on it meets the major axis in Q and R respectively.If theta lt theta lt (pi)/(2) and QR=2 then show that theta=cos^(-1)((2)/(3)).

2 cos theta - cos 3 theta - cos 5 theta - 16 cos^(3) theta sin^(2) theta =

If the tangent at the point (4cos2theta,16/sqrt11sin2theta) on the ellipse 16x^(2)+11y^(2)=256 touches the circle x^(2)+y^(2)-2x=15 , then theta =

If cos theta + cos 2theta + cos 3theta = 0 then theta =

AAKASH SERIES-REVISION EXERCISE -ELLIPSE
  1. The point P( (pi )/(4)) lie on the ellipse (x^(2))/( 4) +( y^(2))/(2...

    Text Solution

    |

  2. P is a point on the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1 with ...

    Text Solution

    |

  3. The normal at a poitn P( theta) on the ellipse 5x^(2) +14y^(2) =70 ...

    Text Solution

    |

  4. The major axis of an ellipse is y =x and one vertex is at origin , the...

    Text Solution

    |

  5. In a model. It is shown that an arch of abridge is semi-elliptical wit...

    Text Solution

    |

  6. A bridge is in the shape of a semi ellipse . If it is 400 m long and h...

    Text Solution

    |

  7. (2,4 ) and (10 , 10 ) are the ends of the latus rectum of an ellipse...

    Text Solution

    |

  8. A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2...

    Text Solution

    |

  9. The equation of common tangents to the ellipse x^(2) +2y^(2) =1 and...

    Text Solution

    |

  10. Let PSP ^(1) is a focal chord of the ellipse 4x^(2) +9y^(2) =36 and...

    Text Solution

    |

  11. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

    Text Solution

    |

  12. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

    Text Solution

    |

  13. The locus of the foot of the perpendicular drawn from the centre of th...

    Text Solution

    |

  14. The locus of the mid points of parallel chords of an ellipse is a strr...

    Text Solution

    |

  15. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

    Text Solution

    |

  16. A point moves such that the distance from the point (2,0) is always 1...

    Text Solution

    |

  17. Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a...

    Text Solution

    |

  18. The nature of inter cepts made on the axes by the tangent at the point...

    Text Solution

    |

  19. If the ellipse (x^(2))/( 4) + y^(2) =1 meets the ellipse x^(2) +(y^(...

    Text Solution

    |

  20. Angle substended by common tangents of two ellipse 4( x-4) ^(2) +25y^(...

    Text Solution

    |