Home
Class 12
MATHS
The vertex of the parabola whose paramet...

The vertex of the parabola whose parametric equation is `x=t^(2)-t+1,y=t^(2)+t+1,tinR`, is

A

(1,1)

B

(2,2)

C

(3,3)

D

`(1/2,1/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|14 Videos

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|24 Videos

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|25 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^2+t+1; t in R , is (1, 1) (b) (2, 2) (1/2,1/2) (d) (3,3)

The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^2+t+1; t in R , is (a) (1, 1) (b) (2, 2) (c) (1/2,1/2) (d) (3,3)

The Cartesian equation of the directrix of the parabola whose parametrix equations are x=2t+1, y=t^(2)+2 , is

The length of latusrectum of the parabola whose parametric equations are x=t^2+t+1,y=t^2-t+1, where t in R is equal to (1) sqrt(2) (2) sqrt(4) (3) sqrt(8) (4) sqrt(6)

The point of intersection of the curve whose parametrix equations are x=t^(2)+1, y=2t" and " x=2s, y=2/s, is given by

Graph the parametric euation {:{(x=3t+4),(y=t-5):}

Find the cartesian equation of the curve whose parametric equations are : x=t, y=t^(2)

Find the Cartesian equation of the curves whose parametric equation are : x = (20t)/(4+t^2) , y = (5(4-t^2))/(4+t^2)

Find the equation of tangent to the curve reprsented parametrically by the equations x=t^(2)+3t+1and y=2t^(2)+3t-4 at the point M (-1,10).

ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. ABCD and EFGC are squares and the curve y=ksqrtx passes through the or...

    Text Solution

    |

  2. Find dy/dx if y^2 = x

    Text Solution

    |

  3. The vertex of the parabola whose parametric equation is x=t^(2)-t+1,y=...

    Text Solution

    |

  4. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

    Text Solution

    |

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

    Text Solution

    |

  6. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |

  7. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

    Text Solution

    |

  8. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  9. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

    Text Solution

    |

  12. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  13. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

    Text Solution

    |

  14. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  15. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  16. A line is drawn form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...

    Text Solution

    |

  17. An equilateral triangle SAB is inscribed in the parabola y^(2)=4ax hav...

    Text Solution

    |

  18. C is the center of the circle with center (0, 1) and radius unity. P i...

    Text Solution

    |

  19. Let S be the focus of y^2=4x and a point P be moving on the curve such...

    Text Solution

    |

  20. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

    Text Solution

    |