Home
Class 12
MATHS
A B is a variable line sliding betwee...

`A B` is a variable line sliding between the coordinate axes in such a way that `A` lies on the x-axis and `B` lies on the y-axis. If `P` is a variable point on `A B` such that `P A=b ,P b=a` , and `A B=a+b ,` find the equation of the locus of `Pdot`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE PUBLICATION|Exercise All Questions|238 Videos

Similar Questions

Explore conceptually related problems

A rod AB of length 15 cm rests in between two coordinate axes is such a way that the end point A lies on x-axis and end Point B lies on y-axis. A point P (x,y) is taken on the rod in such a way that AP=6cm . Show that the locus of P is an ellipse.

The coordinates of the point A and B are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point Pdot

If the coordinates of a variable point P are (acostheta,bsintheta), where theta is a variable quantity, then find the locus of Pdot

The coordinates of a moving point P are (at^(2),2at) , where t is a variable parameter . Find the equation to the locus of P.

Straight line px-qy=r intercept the coordinate axis at the point (a,0)and (0,b).Find (a+b).

A line segment of length (a+b) units moves on a plane in such a way that its end points always lie on the coordinates axes. Suppose that P is a point on the line segment it in the ratio a:b. Prove that the locus of P is an ellipse.

Two fixed point A and B are taken on the cordinate axes such that OA = a and OB = b. Two variable points A' and B' are taken on the same axes such that OA'+OB' = OA + OB. Find the locus of the point of intersection of AB' and A'B.

A variable line through the point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 , meets the co-ordinate axes in A and B, then the locus of mid point of AB is

S(sqrt(a^(2)-b^(2)),0)andS'(-sqrt(a^(2)-b^(2)),0) are two given points and P is a moving point in the xy - plane such that SP+S'P=2a . Find the equation to the locus of P.

A is (a,0) and B is (-a,0). If P is a point such that anglePAB - anglePBA = 90^@ , then the locus of P is

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the locus of a point, so that the join of (-5,1) and (3,2) subten...

    Text Solution

    |

  2. The sum of the squares of the distances of a moving point from two ...

    Text Solution

    |

  3. A B is a variable line sliding between the coordinate axes in such ...

    Text Solution

    |

  4. A rod of length l slides with its ends on two perpendicular lines. ...

    Text Solution

    |

  5. Find the locus of the point (t^2-t+1,t^2+t+1),t in R.

    Text Solution

    |

  6. Find the locus of a point such that the sum of its distance from the...

    Text Solution

    |

  7. Two points P(a,0) and Q(-a,0) are given. R is a variable point on o...

    Text Solution

    |

  8. If the coordinates of a variable point P are (acostheta,bsintheta), wh...

    Text Solution

    |

  9. Find the locus of a point whose distance from (a, 0) is equal to it...

    Text Solution

    |

  10. The coordinates of the point A and B are (a,0) and (-a ,0), respecti...

    Text Solution

    |

  11. The locus of the foot of perpendicular drawn from origin to a variabl...

    Text Solution

    |

  12. A variable line through the point P(2,1) meets the axes at a an d b...

    Text Solution

    |

  13. If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...

    Text Solution

    |

  14. Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the ...

    Text Solution

    |

  15. Convert the following polar coordinates to its equivalent Cartesian ...

    Text Solution

    |

  16. Convert the following Cartesian coordinates to the corresponding po...

    Text Solution

    |

  17. A straight line is drawn through P(3,4) to meet the axis of x and y...

    Text Solution

    |

  18. A variable line through the point P(2,1) meets the axes at a an d b...

    Text Solution

    |

  19. A point moves such that the area of the triangle formed by it with ...

    Text Solution

    |

  20. Find the locus of the point of intersection of lines xcosalpha+ysin...

    Text Solution

    |