Home
Class 11
MATHS
The locus of the represented by x...

The locus of the represented by` x = t^ 2 + t + 1 , y = t ^ 2 - t + 1 ` is

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) -2xy +y^(2) -y^(2)-2x - 2y + 4 = 0 `
Promotional Banner

Topper's Solved these Questions

  • LOCUS

    AAKASH SERIES|Exercise EXERCISE - 2.1 (VERY SHORT ANSWER QUESTIONS)|10 Videos

  • LOCUS

    AAKASH SERIES|Exercise EXERCISE - 2.1 ( SHORT ANSWER QUESTIONS)|14 Videos

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

Similar Questions

Explore conceptually related problems

The locus of the point represented by x = 3 (cos t + sin t ) , y = 2 ( cos t - sin t ) is

The locus of the point represent by x = cos ^ 2 t, y = 2 sin t is

The locus of the point represented by x=cos^(2)t,y=2sint is

The locus represented by x = (a)/(2) ( t + (1)/(t)), y = (a )/(2) ( t - (1)/(t)) is

The curve represented by x=3 (cos t + sin t ) ,y =4 (cos t -sin t ) is

The curve represented by x=2 (cos t +sin t ) , y=5 (cos t -sin t ) is

The graph represented by the equations x= sin ^(2) t, y = 2 cos t is

If t is a parameter and x = t + 1/t , y = t - 1/t , " then " (d^2 y)/(dx^2) =

The locus represented by x=(a)/(2)(t+(1)/(t)),y=(a)/(2)(t-(1)/(t)) is

AAKASH SERIES-LOCUS-PRACTICE EXERCISE
  1. The locus of the represented by x = t^ 2 + t + 1 , y = t ^ 2...

    Text Solution

    |

  2. The locus of the point which is equidistant to the coordinate ...

    Text Solution

    |

  3. The locus of a point whose distance from y-axis is one-third of its di...

    Text Solution

    |

  4. The equation to the locus of points equidistant from the points (-3, 4...

    Text Solution

    |

  5. If the equation of the locus of a point equi-distant from the points (...

    Text Solution

    |

  6. The equation to the locus of points equidistant from the points (-2, 3...

    Text Solution

    |

  7. A(-9, 0) and B(-1, 0) are two points. If P(x, y) is a point such that ...

    Text Solution

    |

  8. A(2,3),B(1,5),C(-1,2) are three points and PA^(2)+PB^(2)=2PC^(2) then ...

    Text Solution

    |

  9. Let P(2, 0), Q(-2, 0) and R(4, 0) then the locus of S such that SQ^(2)...

    Text Solution

    |

  10. The point P moves such that the sum of the squares of its distances fr...

    Text Solution

    |

  11. A(2, 3), B(-1, 1) are two points if P is a point such that angleAPB=90...

    Text Solution

    |

  12. A line passes through a fixed point A(h, k). The locus of the foot of ...

    Text Solution

    |

  13. The locus of a point which is collinear with the points A(3, 4) and B(...

    Text Solution

    |

  14. O(0,0), A(4,0), B(0, 6) are the points. If P is a point such that the ...

    Text Solution

    |

  15. A(2, 3), B(-3, 4) are two points. If a point P moves such that the are...

    Text Solution

    |

  16. A(1, 1), B(2, 3), C(-1, 1) are the points. If P is a point such that t...

    Text Solution

    |

  17. A line segment of length 10 sliding with ends on the axes, then the lo...

    Text Solution

    |

  18. A straight rod of length 9 unit, slides with its ends A, B alwa...

    Text Solution

    |

  19. Sum of the distances of a point from two per pendicular lines is 3. Th...

    Text Solution

    |

  20. Let A(1, 2),B(3, 4) are two vertices of a DeltaABC. The third vertex C...

    Text Solution

    |

  21. From a point P perpendiculars PM and PN are drawn upon x, y axes respe...

    Text Solution

    |