Home
Class 12
MATHS
If the vertex of a parabola is the point...

If the vertex of a parabola is the point (-3, 0) and the directrix is the line x + 5 = 0, then its equation is

A

`y^(2)=8(x+3)`

B

`x^(2)=8(y +3)`

C

`y^(2)= -8(x + 3)`

D

`y^(2) = 8(x+5).`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 7

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • MODEL TEST PAPER 02

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The vertex of a parabola is (a,0) and the directrix is x+y=3a the equation of the parabola is

The equation of the parabola with the focus (3,0) and the directrix x+3=0 is

The equation of the parabola with focus (0,3) and the directrix y+3=0 is

The vertex of a parabola is at the origin and the directrix is x+5=0 . The length of the latus rectum is equal to

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

The vertex of a parabola is the point (a, b) and latus-rectum is of length l. If the axis of the parabola is along the positive direction of y-axis, then its equation is

If the focus of a parabola is (0,-3) and its directrix is y =3 then its equation is

The equation to the parabola with focus (2, 0) and the directrix x + 3 = 0 is

Find the equation of the parabola with focus (2,0) and directrix x=-2 .

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER - 8-MATHEMATICS
  1. If the radical axis of the circles x^(2)+y^(2)+2gx + 2fy + c = 0 and...

    Text Solution

    |

  2. The slope of the tangent at the point (h, h) of the circle x^(2) + y^(...

    Text Solution

    |

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

    Text Solution

    |

  4. The vertex of a parabola is the point (a, b) and latus-rectum is of le...

    Text Solution

    |

  5. The equation to the ellipse (referred to its axes as the axes of x and...

    Text Solution

    |

  6. The locus of the middle point of the portion of a tangent to the ellip...

    Text Solution

    |

  7. The equations to the common tangents to the two hyperbolas (x^(2))/(a^...

    Text Solution

    |

  8. The vectors 2overset(hat)i + 3 overset(hat)j-4overset(hat)kand aoverse...

    Text Solution

    |

  9. If veca .vecb = veca.vec cand veca xx vecb = veca xx vec c,veca ne0, t...

    Text Solution

    |

  10. If vecp = veca - vecb , vecq = vec a + vec b and |veca| = |vecb| = 2 ...

    Text Solution

    |

  11. Let a = hat I + hatj +hatk, vec b = hati-hatj+hatk and c be a unit vec...

    Text Solution

    |

  12. The value of underset(x rarr0)limsqrt((1)/(2)(1-cos2x))/(x) is

    Text Solution

    |

  13. If f (x) =((x^(2)+5x+3^(x))/(x^(2)+x+2)) then underset(x rarroo)limf(x...

    Text Solution

    |

  14. If y = cos^(-1) ((2cos x - 3 sin x)/(sqrt(13))),then (dy)/(dx) is

    Text Solution

    |

  15. The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2...

    Text Solution

    |

  16. The abscissa of the point on the curve ay^(2)=x^(3), the normal at whi...

    Text Solution

    |

  17. If y = a logx + bx^(2) + x has its extremum value at x = -1 and x = 2,...

    Text Solution

    |

  18. int (1)/((1+x^(2))sqrt(1-x^(2)))dx is equal to

    Text Solution

    |

  19. int(sqrt(tanx))/(sin x cos x)dx is equal to

    Text Solution

    |

  20. The value of the integral underset(0)overset(1)int(1)/(x^(2)+2x cos al...

    Text Solution

    |