Home
Class 11
MATHS
The focus of the parabola y=2x^2+x is a....

The focus of the parabola `y=2x^2+x` is a.`(0,0)` b. `(1//2,1//4)` c. `(-1//4,0)` d. `(-1//4,1//8)`

Text Solution

Verified by Experts

the given equation of parabola is
`y=2x^2+x`=`x^2+x/2=y/2`
`(x+1/2)^2=1/2(y+1/8)^2`
is of the form `X^2=1/2Y`
...
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT OF ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|56 Videos

  • PERMUTATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|287 Videos

Similar Questions

Explore conceptually related problems

The focus of the parabola y^(2)-4y-8x+4=0 is,

The focus of the conic x^(2)-6x+4y+1=0 is

The focus of the conic x ^(2) -6x + 4y +1=0 is

The coordinates of the focus of the parabola y^(2)-x-2y+2=0 are a.(5/4,1) b.(1/4,0) c.(1,1) d.none of these

The vertex of the parabola x^(2)+8x+12y+4=0 is (i) (-4,1) (ii) (4,-1)( iii) (-4,-1)

If the focus of a parabola is (-2,1) and the directrix has the equation x+y=3 then its vertex is a.(0,3) b.(-1,1/2) c.(-1,2) d.(2,-1)

Area enclosed by the parabola y^2=8x and the line y=2x is (A) 4/3 (B) 3/4 (C) 1/4 (D) 1/2

The number of normal (s) to the parabola y^(2)=8x through (2,1) is (B) 2(A)1(D)3(C)0

The line 2x-y+4=0 cuts the parabola y^(2)=8x in P and Q. The mid-point of PQ is (a) (1,2)(b)(1,-2)(c)(-1,2)(d)(-1,-2)

The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4) (B) (1, 2sqrt(2)) (C) (4, -4 sqrt(2) (D) (2, 4)

RD SHARMA-PARABOLA-Solved Examples And Exercises
  1. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  2. If the vertex of a parabola is the point (-3,0) and the directrix is t...

    Text Solution

    |

  3. The coordinates of the focus of the parabola y^2-x-2y+2=0 are a. (5/4...

    Text Solution

    |

  4. The vertex of the parabola (y+a)^2=8a(x-a) is a.(-a ,-a) b. (a ,-a) c....

    Text Solution

    |

  5. If the focus of a parabola is (-2,1) and the directrix has the equatio...

    Text Solution

    |

  6. The equation of the parabola whose vertex is (a ,0) and the directrix ...

    Text Solution

    |

  7. The parametric equations of a parabola are x=t^2+1, y=2t+1. The Cartes...

    Text Solution

    |

  8. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |

  9. The equation of the directrix of the parabola whose vertex and focus a...

    Text Solution

    |

  10. If V and S are respectively the vertex and focus of the parabola y^2+6...

    Text Solution

    |

  11. The directrix of the parabola x^2-4x-8y + 12=0 is

    Text Solution

    |

  12. The equation of the parabola with focus (0,0) and directrix x+y=4 is a...

    Text Solution

    |

  13. The line 2x−y+4=0 cuts the parabola y^2=8x in P and Q. The mid-point o...

    Text Solution

    |

  14. In the parabola y^2=4a x , the length of the chord pasing through the ...

    Text Solution

    |

  15. The length of the latus rectum of the parabola y^2+8x-2y+17=0 is a.2 b...

    Text Solution

    |

  16. The vertex of the parabola (y-2)^2=16(x-1) is a.(1,2) b.(-1,2) c. (1,-...

    Text Solution

    |

  17. The length of latus rectum of the parabola 4y^2+2x−20y+17=0 is (a) 3 (...

    Text Solution

    |

  18. The focus of the parabola y=2x^2+x is a.(0,0) b. (1//2,1//4) c. (-1//4...

    Text Solution

    |

  19. Which of the following points lie on the parabola x^2=4a y ? a.x=a t^...

    Text Solution

    |

  20. The equation of the parabola whose focus is (1,-1) and the directrix i...

    Text Solution

    |