Home
Class 11
MATHS
If the focus of the parabola x^2-k y+3=0...

If the focus of the parabola `x^2-k y+3=0` is (0,2), then a values of `k` is (are) (a) 4 (b) 6 (c) 3 (d) 2

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k is (are) 4 (b) 6 (c) 3 (d) 2

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

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

If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then one of the values of k is (a) 1/8 (b) 8 (c) 4 (d) 1/4

If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then one of the values of k is 1/8 (b) 8 (c) 4 (d) 1/4

If the sum of the zeros of the polynomial f(x)=2x^3-3k x^2+4x-5 is 6 , then the value of k is (a) 2 (b) 4 (c) -2 (d) -4

If x^2+x+1 is a factor of the polynomial 3x^3+8x^2+8x+3+5k , then the value of k is (a) 0 (b) 2/5 (c) 5/2 (d) -1

If plane 2x+3y+6z+k=0 is tangent to the sphere x^(2)+y^(2)+z^(2)+2x-2y+2z-6=0 , then a value of k is (a) 26 (b) 16 (c) -26 (d) none of these

for parabola x^2+y^2+2xy−6x−2y+3=0 , the focus is.

If the line x-y+k =0 is a tangent to the parabola x^(2) = 4y then k = ?

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Show that the locus of a point that divides a chord of slope 2 of the ...

    Text Solution

    |

  2. Points A, B, C lie on the parabola y^2=4ax The tangents to the parabol...

    Text Solution

    |

  3. If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k ...

    Text Solution

    |

  4. Let P be a point whose coordinates differ by unity and the point does ...

    Text Solution

    |

  5. Statement 1: The line x-y-5=0 cannot be normal to the parabola (5x-15)...

    Text Solution

    |

  6. If (h ,k) is a point on the axis of the parabola 2(x-1)^2+2(y-1)^2=(x+...

    Text Solution

    |

  7. Column I, Column II Points from which perpendicular tangents can...

    Text Solution

    |

  8. Consider the parabola y^2=12 x Column I, Column II Equation of ta...

    Text Solution

    |

  9. If the tangent at the point P(2,4) to the parabola y^2=8x meets the pa...

    Text Solution

    |

  10. Let P be the family of parabolas y=x^2+p x+q ,(q!=0), whose graphs cut...

    Text Solution

    |

  11. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

    Text Solution

    |

  12. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

    Text Solution

    |

  13. The parabola y=x^2+p x+q cuts the straight line y=2x-3 at a point with...

    Text Solution

    |

  14. Tangent is drawn at any point (p ,q) on the parabola y^2=4a x .Tangent...

    Text Solution

    |

  15. The equation of the directrix of the parabola with vertex at the origi...

    Text Solution

    |

  16. Tangent is drawn at any point (x1, y1) other than the vertex on the pa...

    Text Solution

    |

  17. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  18. Statement 1: If the parabola y^2=4a x and the circle x^2+y^2+2b x=0 to...

    Text Solution

    |

  19. If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at A and B , then th...

    Text Solution

    |

  20. P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) ...

    Text Solution

    |