Home
Class 11
MATHS
A line cuts the X-axis at A (5,0) and th...

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

A

`x ^(2) + y ^(2) -5x + 3y =0`

B

`x ^(2) + y ^(2) + 5x + 3y =0`

C

`x ^(2) + y ^(2) + 5x -3y =0`

D

`x^(2) + y^(2) -5x -3y =0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|75 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A variable line PQ is drawn perpendicular to AB cutting the x-axis in P and the y-axis in Q. If AQ and BP intersect at R, find the locus of R

A line intersects x-axis at A(2, 0) and y-axis at B(0, 4) . A variable lines PQ which is perpendicular to AB intersects x-axis at P and y-axis at Q . AQ and BP intersect at R . Image of the locus of R in the line y = - x is : (A) x^2 + y^2 - 2x + 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 4y = 0 (D) x^2 + y^2 + 2x - 4y = 0

A line intersects x-axis at A(2, 0) and y-axis at B(0, 4) . A variable lines PQ which is perpendicular to AB intersects x-axis at P and y-axis at Q . AQ and BP intersect at R . The locus of R and the circle x^2 + y^2 - 8y - 4 = 0 (A) touch each other internally (B) touche the given circle externally (C) intersect in two distinct points (D) neither intersect nor touch each other

A line intersects x-axis at A(2, 0) and y-axis at B(0, 4) . A variable lines PQ which is perpendicular to AB intersects x-axis at P and y-axis at Q . AQ and BP intersect at R . Locus of R is : (A) x^2 + y^2 - 2x + 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 2x - 4y=0 (D) x^2 + y^2 + 2x - 4y = 0

The line l in Fig14.14 meets X-axis at A(-5,0) and Y-axis at B(0,-3).

The variable line drawn through the point (1,3) meets the x-axis at A and y -axis at B .If the rectangle OAPB is completed.Where O is the origin,then locus of P is

The line 2x+3y=12 meets the x-axis at A and y-axis at B. The line through (5,5) perpendicular to AB meets the x-axis and the line AB at C and E respectively. If O is the origin of coordinates, find the area of figure OCEB.

The line 3x+2y=24 meets the y-axis at A and the x-axis at B .The perpendicular bisector of AB meets the line through (0,-1) parallel to the x-axis at C. If the area of triangle ABC is A, then the value of (A)/(13) is

The variable line drawn through the point (1,3) meets the x -axis at A and y -axis at B .If the rectangle OAPB is completed.Where O isthe origin,then locus of ^(-)P' is

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. The focous of the parabola y = 2x ^(2) + x is

    Text Solution

    |

  2. The focus of the conic x ^(2) -6x + 4y +1=0 is

    Text Solution

    |

  3. A line cuts the X-axis at A (5,0) and the Y-axis at B(0,-3). A variabl...

    Text Solution

    |

  4. The distance between the vertex and the focus of the parabola x ^(2) -...

    Text Solution

    |

  5. Equation of the directrix of the parabola y^(2)+4x+2=0 is

    Text Solution

    |

  6. The equation of the directrix of the parabola x ^(2) + 8y -2x =7 is

    Text Solution

    |

  7. For the parabola y ^(2) +6y -2x =-5 I) the vertex is (-2, -3) II) ...

    Text Solution

    |

  8. The two parabolas x^2= 4y and y^2=4x meet in two distinct points. One...

    Text Solution

    |

  9. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  10. The cartesian co - ordinates of the point on the parabola y^(2)=...

    Text Solution

    |

  11. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  12. The straight lines y=+-x intersect the parabola y^(2)=8x in points P a...

    Text Solution

    |

  13. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of in...

    Text Solution

    |

  14. The eccentricity of the ellipes (x ^(2))/(36)+ (y^(2))/(16) =1 is

    Text Solution

    |

  15. Eccentricity of the ellipse 4x ^(3) + y 6(2) -8x+ 4x +4y -8=0 is

    Text Solution

    |

  16. The eccentricity of the conic x ^(2) + y^(2) -2x + 3y + 2=0 is

    Text Solution

    |

  17. The lengths of major and minor axis of an ellipse are 10 and 8 respect...

    Text Solution

    |

  18. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  19. The equation of the ellipse with foci (pm 2, 0) and eccentricity =1/2 ...

    Text Solution

    |

  20. If the foci of an ellipse are (pm sqrt5,0) and its exccentricity is (...

    Text Solution

    |