Home
Class 11
MATHS
A(1,2)and B(5,-2)are two points. P is a ...

A(1,2)and B(5,-2)are two points. P is a point moving in such a way that the area of the `/_\ABP` is 12 sq.units.Find the locus of P.

Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    UNITED BOOK HOUSE|Exercise EXERCISE|10 Videos
  • Hare School, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |33 Videos

Similar Questions

Explore conceptually related problems

Let A (-2,2)and B (2,-2) be two points AB subtends an angle of 45^@ at any points P in the plane in such a way that area of Delta PAB is 8 square unit, then number of possibe position(s) of P 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 (-2, 2, 3) and B(13, -3, 13) are the points. L is a line through A. A point P moves in the space such that 3PA=2PB , then the locus of P is-

Let A(-1,0)andB(2,0) be two points. A point M moves in the plane in such a way that angleMBA=2angleMAB . Then the point M moves along

A(1,2) and B (5,-2) are two given point on the xy-plane, on which C is such a moving point, that the numerical value of the area of Delta CAB IS 12 square unit. Find the equation to the locus of C.

The coordinates of the points A and B are (3,4) and (5,-2) respectively , if overline(PA)=overline(PB) and the area of the DeltaPAB=10 square unit , find the coordinates of P.

Let 0-=(0,0),A-=(0,4),B-=(6,0)dot Let P be a moving point such that the area of triangle P O A is two times the area of triangle P O B . The locus of P will be a straight line whose equation can be

A(3, 0) and B(-3, 0) are two given points and P is a moving point : if bar(AP) = 2bar(BP) for all positions of P, show that the locus of P is a circle. Find the radius of the circle.

A and B are two given points whose coordinates are (-5,3) and (2,4) respectively . A point P moves in such a manner that PA:PB=3:2 . Find the equation to the locus traced out by P. What curve does it represent?

A and B are two points (0,2,3) and (2,-2,1) respectively. Find the locus of a point P such that the sum of the square of its distances from the two given points its constant, equal to 2k^2

UNITED BOOK HOUSE-HARE SCHOOL-EXERCISE
  1. Three positive numbers a,b,c are in A.P prove that 1/(sqrtb+sqrtc),1/(...

    Text Solution

    |

  2. If a1,a2,a3,...,aaare in A.P then show that 1/(a1a2)+1/(a2a3)+1/(a3a4)...

    Text Solution

    |

  3. If the roots of the equation p(q-r)x^2+q(r-p)x+r(p-q)=0 be equal ,show...

    Text Solution

    |

  4. Solve :barz=iz^2(z being a complex number)

    Text Solution

    |

  5. if alpha,beta,gamma are in A>P show that cot=(sinalpha-singamma)/(cosg...

    Text Solution

    |

  6. Prove that (1)/(2sin10^(@))-2sin70^(@)=1.

    Text Solution

    |

  7. Prove that 0le3costheta+4sintheta+5le10

    Text Solution

    |

  8. Show that 4(cos^3 10^@+sin^3 20^@)=3(cos10^@+sin20^@)

    Text Solution

    |

  9. If the equation x^2-cx+d=0and x^2-ax+b=0 have a common root,and the ro...

    Text Solution

    |

  10. If alphaand betaare roots of the equation qx^2+px+p=0,show that sqrt(a...

    Text Solution

    |

  11. If z1 and z2 be two complex numbers show that Re(barz1z2)=1/2(z1barz2+...

    Text Solution

    |

  12. Find the sum up to n terms :1+2/3+3/3^2+4/3^3+...

    Text Solution

    |

  13. If x^(1/a)=y^(1/b)=z^(1/c)where a,b,c are in A.P,,than show that x,y,z...

    Text Solution

    |

  14. If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(th...

    Text Solution

    |

  15. IF A+B+C=pi,then prove that tan (A/2)tan(B/2)+tan(B/2)tan(C/2)+tan(C/2...

    Text Solution

    |

  16. Prove that secx=2/(sqrt(2+sqrt(2+sqrt(2+2cos8x)))

    Text Solution

    |

  17. Prove that tan20^@+4sin20^@=sqrt3

    Text Solution

    |

  18. A(1,2)and B(5,-2)are two points. P is a point moving in such a way tha...

    Text Solution

    |

  19. A variable straight line passes through the point of intersection of t...

    Text Solution

    |

  20. For three mutually exclusive events X,Yand Zit is given that P(x)=2P(Y...

    Text Solution

    |