Home
Class 12
MATHS
Let P be a point on the ellipse (x^(2))/...

Let P be a point on the ellipse `(x^(2))/(9) + (y^(2))/(4)=1` and the line through P parallel to the y-axis meets the circle `x^(2) + y^(2)= 9` at Q, where P, Q are on the same side of the x-axis. If R is a point on PQ such that `(PR)/(RQ)= (1)/(2)`, then the locus of R is

A

`(x^(2))/(9) + (9y^(2))/(49)=1`

B

`(x^(2))/(49) + (y^(2))/(9)=1`

C

`(x^(2))/(9) + (y^(2))/(49)= 1`

D

`(9x^(2))/(49) + (y^(2))/(9)=`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.

The line y=2t^(2) intersects the ellipse (x^(2))/(9)+(y^(2))/(4)=1 in real points if

Find the points on the ellipse 4x^(2)+9y^(2)=36 at which the tangents are paralle to x-axis.

Find points on the curve (x^(2))/(9) +(y^(2))/(16) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

On the ellipse 4x^(2)+9y^(2)=1 , the points at which the tangents are parallel to the line 8x=9y are-

Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right angle at a point P . Then the locus of P is _

Let P be a point on the ellipse (x^(2))/(16) + (y^(2))/(9) = 1 . If the distance of P from centre of the ellipse be equal with the average value of semi major axis and semi minor axis, then the coordinates of P is _

Let P be a point on the circle x^(2) + y^(2) = a^(2) whose ordinate is PN and Q is a point on PN such that PN : QN = 2 : 1 . Find the locus of Q and identify it

The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at the points P and Q . The equation of the circle with pq as diameter is _

Lines x + y = 1 and 3y = x + 3 intersect the ellipse x^(2) + 9y^(2) = 9 at the points P , Q , R . The area of the triangle PQR is _

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. Let A. B be two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  2. Let P(a t^(2), 2 a t), Q, R (a r^(2).2 ar) be three points on a parabo...

    Text Solution

    |

  3. Let P be a point on the ellipse (x^(2))/(9) + (y^(2))/(4)=1 and the li...

    Text Solution

    |

  4. A point P lies on a line through Q(1, -2, 3) and is parallel to the li...

    Text Solution

    |

  5. The foot of the perpendicular drawn from the point (1, 8,4) on the lin...

    Text Solution

    |

  6. The approximate value of sin 31^(@) is

    Text Solution

    |

  7. Let f(1)(x)= e^(x), f(2)(x)= e^(f(1)(x)),……f(n+1)(x)= e^(f(n)(x)) for ...

    Text Solution

    |

  8. The domain of definition of f(x)= sqrt((1-|x|)/(2-|x|)) is Here (a, ...

    Text Solution

    |

  9. Let f : [a, b] rarr R be differentiable on [a, b] & k in R. Let f(a)= ...

    Text Solution

    |

  10. Let f(x)= 3x^(10)- 7x^(8) + 5x^(6)- 21x^(3) + 3x^(2)-7. Then underset(...

    Text Solution

    |

  11. Let f: [a, b] rarr R be such that f is differentiable in (a,b). f is c...

    Text Solution

    |

  12. Let f: R rarr R be a twice continuously differentiable function such t...

    Text Solution

    |

  13. If int e^(sin x) [(x cos^(3)x - sin x)/(cos^(2)x)] dx= e^(sin x).f(x) ...

    Text Solution

    |

  14. If int f(x) sin x cos x dx= (1)/(2(b^(2)-a^(2))) log f(x) + c, where c...

    Text Solution

    |

  15. If M= underset(0)overset(pi//2)int (cos x)/(x +2) dx, N= underset(0)ov...

    Text Solution

    |

  16. The value of the integral I= underset(1/2014)overset(2014)int (tan^(-1...

    Text Solution

    |

  17. Let I= underset(pi /4)overset(pi /3)int (sin x)/(x) dx. Then

    Text Solution

    |

  18. The value of I= underset(pi 2)overset(5pi//2)int (e^(tan^(-1) (sin x))...

    Text Solution

    |

  19. The value of underset(n rarr oo)("lim") (1)/(n) {"sec"^(2) (pi)/(4n) ...

    Text Solution

    |

  20. The differential equation representing the family of curves y^(2)= 2d(...

    Text Solution

    |