Home
Class 11
MATHS
Let coordinates of the points A and B ar...

Let coordinates of the points A and B are (5,0) and (0,7) respectively. P and Q the variable point lying on the x-axis and y-axis respectively so that PQ is always perpendicular to the line AB. The locus of the point of intersection BP and AQ is

A

`x^2+y^2-5x+7y =0`

B

`x^2+y^2+5x-7y =0`

C

`x^2+y^2+5x+7y =0`

D

`x^2+y^2-5x-7y =0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-II More than One correct answer Type Questions)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-II Linked Comprehension Type Questions)|6 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III Problems on point of intersection of lines and concurrency of lines) (LEVEL- II Integer Type Questions)|1 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

If A,B are the feet of the perpendicular from P (2,4,5) to the x-axis and y-axis respectively, then AB =

A straight line (x)/(a)+(y)/(b)=1 meets the axes in A, B.A line perpendicular to AB meets the axes in P and Q. The locus of point intersection of AQ and BP is

The coordinates of the points A and B are respectively (-3,2) and (2,3). P and Q are points on the line joining A and B such that AP=PQ. A square PQRS is constructed on PQ as one side, the coordinates of R can be

Let A be any point on the x-axis and B=(2,3). The perpendicular at A to the line AB meets the y-axis at C. Then the locus of midpoint of segment AC as A moves is given by

Two points A(-a, 0) and B(a, 0) are given. If C is a variable point lying on one side of the line AB such that angleCAB- angleCBA=alpha , where alpha is a positive constant, then locus of the point C is

If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and B, then the equalion of the circle with radius AB and centre at A. is

The line x/a+y/b=1 cuts the coordinate axes at a and B a line perpendicular to AB meets the axes in P and Q. The equation of the locus of the point of intersection of the lines AQ and BP is

A and B are two variable points on x, y axes respectively such that OA+OB=c . The locus of the foot of the perpendicular from origin on this line overset(" "harr)("AB") is

AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-I Staight Objective Type Questions)
  1. A rectangle ABCD has its side AB parallel to line y=x, and vertices A,...

    Text Solution

    |

  2. The image of the lie x+y-2=0 in the y-axis is

    Text Solution

    |

  3. The+ve value of a for which the image of (a,a-1) w.r.t the line x+y=6a...

    Text Solution

    |

  4. Equation of line equidistance from the lines 2x+y+4=0 and 3x+6y-5=0 is

    Text Solution

    |

  5. The locus of a point that is equidistant from the lines x+y-2sqrt2=0 a...

    Text Solution

    |

  6. A is a point on either of two line y+sqrt3absx=2 " at a distance of "...

    Text Solution

    |

  7. If the line ax+by=1 passes through point of intersetion of y=x tanalp...

    Text Solution

    |

  8. In a triangle ABC, if A-=(1,2) and the internal angle bisectors throug...

    Text Solution

    |

  9. The orhocenter of triangle formed by the lines xy=0 and x+y=1 is

    Text Solution

    |

  10. If the staight lines 2x+3y-1=0,x+2y-1=0, and ax+by-1=0 from a triangle...

    Text Solution

    |

  11. Two verticess of a Triangle are (1,3) and (4,7) the orthocentre lies o...

    Text Solution

    |

  12. If a vertex of an equilateral triangle is the origin and the side oppo...

    Text Solution

    |

  13. If 2 vertices of a triangle are (-2,3) and (5-1), orthocenter lies at ...

    Text Solution

    |

  14. If the ends of the base of an isosceles triangle are at (2,0) and (0,1...

    Text Solution

    |

  15. The line L1-=4X+3Y-12=0 intersects the x-and y-asxis at A and B, resp...

    Text Solution

    |

  16. In DeltaABC equation of BC is x-y=0. If the circumcentre and othcentre...

    Text Solution

    |

  17. Let coordinates of the points A and B are (5,0) and (0,7) respectively...

    Text Solution

    |

  18. The sides of a triangle are the lines x+y=1, 7y=x, and sqrt3y+x=0, the...

    Text Solution

    |

  19. A man starts from the point P(-3,4) and reaches the point Q (0,10 Touc...

    Text Solution

    |

  20. Two vertice of a triangle are (3,-2) and (-6,1). Then its third vertex...

    Text Solution

    |