Home
Class 11
MATHS
From any point P lying in the first quad...

From any point `P` lying in the first quadrant on the ellipse `(x^2)/(25)+(y^2)/(16)=1,P N` is drawn perpendicular to the major axis and produced at `Q` so that `N Q` equals to `P S ,` where `S` is a focus. Then the locus of `Q` is (a) `5y-3x-25=0` (b) `3x+5y+25=0` (c) `3x-5y-25=0` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a chord of the ellipse (x^2)/(25)+(y^2)/(16)=1 joining two points P(pi/4) and Q((5pi)/4) .

The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicular to a common line for

A line cuts the x-axis at A(5,0) and the y-axis at B(0,-3). A variable line PQ is drawn perpendicular to AB cutting the x-axis at P and the y-axis at Q. If AQ and BP meet at R, then the locus of R is

If from a point P , tangents PQ and PR are drawn to the ellipse (x^2)/2+y^2=1 so that the equation of Q R is x+3y=1, then find the coordinates of Pdot

If tangents P Qa n dP R are drawn from a variable point P to thehyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(a > b), so that the fourth vertex S of parallelogram P Q S R lies on the circumcircle of triangle P Q R , then the locus of P is (a) x^2+y^2=b^2 (b) x^2+y^2=a^2 (c) x^2+y^2=a^2-b^2 (d) none of these

The locus of the center of the circle such that the point (2,3) is the midpoint of the chord 5x+2y=16 is (a) 2x-5y+11=0 (b) 2x+5y-11=0 (c) 2x+5y+11=0 (d) none of these

If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0, 3), then length of the chord is (1) (32)/5 (2) 16 (3) 4/5 12 (4) 32

Tangent drawn from the point (a ,3) to the circle 2x^2+2y^2=25 will be perpendicular to each other if a equals (a) 5 (b) -4 (c) 4 (d) -5

Does the point (-2.5, 3.5) lie inside , outside or on the circle x^(2)+y^(2)=25 ?

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is (a) x^2+y^2+3x+4y=0 (b) x^2+y^2=36 (c) x^2+y^2=16 (d) x^2+y^2-3x-5y=0

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the point on the hyperbola x^(2)-9y^(2)=9 where the line 5x+12y=9...

    Text Solution

    |

  2. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

    Text Solution

    |

  3. From any point P lying in the first quadrant on the ellipse (x^2)/(25)...

    Text Solution

    |

  4. If any line perpendicular to the transverse axis cuts the hyperbola (x...

    Text Solution

    |

  5. If the focal distance of an end of the minor axis of an ellipse (ref...

    Text Solution

    |

  6. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

    Text Solution

    |

  7. A normal to the hperbola (X^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

    Text Solution

    |

  8. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  9. The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and...

    Text Solution

    |

  10. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  11. The coordinates of the vertices Ba n dC of a triangle A B C are (2, ...

    Text Solution

    |

  12. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

    Text Solution

    |

  13. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

  14. The point of intersection of the tangents at the point P on the ellip...

    Text Solution

    |

  15. Find the equation of the ellipse (referred to its axes as the axes o...

    Text Solution

    |

  16. The sum of the squares of the perpendiculars on any tangents to the ...

    Text Solution

    |

  17. A rod of length 12 cm moves with its ends always touching the coord...

    Text Solution

    |

  18. Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...

    Text Solution

    |

  19. If alpha-beta= constant, then the locus of the point of intersection o...

    Text Solution

    |

  20. Two circles are given such that one is completely lying inside the ...

    Text Solution

    |