Home
Class 12
MATHS
The equation ax^2+4xy+y^2+ax+3y+2=0 repr...

The equation `ax^2+4xy+y^2+ax+3y+2=0` represents a parabola. Find the value of `a`.

A

`lambda= -4`

B

`lambda= 4`

C

`lambda= 0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

The equation x^(2)+4xy+4y^(2)-3x-6y-4=0 represents a

If the equation lambdax^2+ 4xy + y^2 + lambdax + 3y + 2 = 0 represent a parabola then find lambda .

The equation 2y^(2)+3y-4x-3=0 represents a parabola for which

The equation x^(2) + 4xy + 4y ^(2) - 3x - 6 = 0 represents

The equation x^(2) - 2xy +y^(2) +3x +2 = 0 represents (a) a parabola (b) an ellipse (c) a hyperbola (d) a circle

Find the value of lambda for which the equation lambdax^2 + 4xy + y^2 + lambdax + 3y + 2=0 represents a pair of straight line

Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=0 represents a parabola.

Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=0 represents a parabola.

The equation x-y=4 and x^2+4xy+y^2=0 represent the sides of

Prove that the equation y^(2)+2ax+2by+c=0 represents a parabola whose axis is parallel to the axis of x. Find its vertex.

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. A variable circle is drawn to touch the line 3x – 4y = 10 and also t...

    Text Solution

    |

  2. Find the coordinates of any point on the parabola whose focus is (0, 1...

    Text Solution

    |

  3. The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the va...

    Text Solution

    |

  4. The point (a ,2a) is an interior point of the region bounded by the pa...

    Text Solution

    |

  5. Consider two points A(at1^2,2at1) and B(at2^2,2at2) lying on the parab...

    Text Solution

    |

  6. Locus of trisection point of any arbitrary double ordinate of the para...

    Text Solution

    |

  7. The equation of the chord of contact of tangents from (2, 5) to the pa...

    Text Solution

    |

  8. The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4...

    Text Solution

    |

  9. The locus of the midpoint of the segment joining the focus to a moving...

    Text Solution

    |

  10. If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y...

    Text Solution

    |

  11. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

    Text Solution

    |

  12. At the point of intersection of the curves y^2=4ax" and "xy=c^2, the t...

    Text Solution

    |

  13. If the line px + qy =1m is a tangent to the parabola y^(2) =4ax, then

    Text Solution

    |

  14. The point of contact of the tangent of y^2=2x inclined to 45^(@) to th...

    Text Solution

    |

  15. Two straight lines (y-b)=m1(x+a) and (y-b)=m2(x+a) are the tangents of...

    Text Solution

    |

  16. The locus of the intersection points of pair of perpendicular tangents...

    Text Solution

    |

  17. If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at...

    Text Solution

    |

  18. Consider a curve C : y^2-8x-2y-15=0 in which two tangents T1a n dT2 ar...

    Text Solution

    |

  19. If a tangent to the parabola y^2=4a x meets the x-axis at T and inters...

    Text Solution

    |

  20. Let N be the foot of perpendicular to the x-axis from point P on the p...

    Text Solution

    |