Home
Class 11
MATHS
The general equation ax^2+2hxy+by^2+2gx+...

The general equation `ax^2+2hxy+by^2+2gx+2fy+c=0` represents a circle if:

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (1)

    JBD PUBLICATION|Exercise EXERCISE|36 Videos

  • MODEL PAPER (11)

    JBD PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

Prove that the equation x^2 + y^2 + 2gx + 2fy + c = 0 represents a circle and find its centre and radius.

If the equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of parallel lines, if h=sqrt(ab) and gsqrt(b)=fsqrt(a) . Prove that the distance between them is 2sqrt(((g^2-ac)/(a(a+b)))) .

Show that the equation : Ax^2 + Ay^2 + Dx + Ey + F=0 represents a circle.

Statement I: The conic sqrtax+sqrtby=1 represents a parabola. Statement II: Conic ax^2+2hxy+by^2+2gx+2fy+c=0 represents a parabola if h^2=ab .

Statement I: The conic sqrtax+sqrtby=1 represents a parabola. Statement II: Conic ax^2+2hxy+by^2+2gx+2fy+c=0 represents a parabola if h^2=ab .

Let a and b be non-zero real numbers. Then the equation : (ax^2 + by^2 + c)(x^2 - 5xy + 6y^2) = 0 represents :

If the equation lambda x^2+(2 lambda-3)y^2-4x-1=0 represents a circle, then its radius is :

If the pair of lines ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0 intersect on the y-axis then

Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola whose axis is parallel to the x-axis.

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are

JBD PUBLICATION-MODEL PAPER (10)-EXERCISE
  1. The sum of first 30 natural numbers is:

    Text Solution

    |

  2. The distance between the points A(a cos theta, a sin theta) and B(a co...

    Text Solution

    |

  3. The general equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a circle if...

    Text Solution

    |

  4. The value of underset(xrarr0)lim (sin2x)/(sin3x) is:

    Text Solution

    |

  5. Two dice are thrown together, the probability that at least one will s...

    Text Solution

    |

  6. If sinx=-5/13 and x lies in IIIrd quadrant. Find the value of secx+tan...

    Text Solution

    |

  7. Prove that: 2 sin^2(3pi)/4+2cos^2pi/4+2s e c^2pi/3=10

    Text Solution

    |

  8. If x+iy=(a+ib)/(a-ib), then prove that x^2+y^2=1

    Text Solution

    |

  9. Find (a+b)^4-(a-b)^4. Hence evaluate : (sqrt3 +sqrt2)^4 -(sqrt3 -sqrt...

    Text Solution

    |

  10. Find the rth term from the end in the expansion of (x+a)^n.

    Text Solution

    |

  11. Show that the points A(2,3,4), B(3,4,2), C(4,2,3) form the vertices o...

    Text Solution

    |

  12. Identify the quantifier in the following statements and write the nega...

    Text Solution

    |

  13. Find the component statements of the following and check whether it is...

    Text Solution

    |

  14. Let A, B, and C be the sets such that A uu B = A uu C and A nn B = A n...

    Text Solution

    |

  15. If f (x) = loge ((1+x)/(1-x)), prove that: f (x) +f (y)= f ((x+y)/(1+x...

    Text Solution

    |

  16. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |

  17. If ""^(n)C(r ): ""^(n)C(r+1)=1:2 and ""^(n)C(r+1): ""^(n)C(r+2)=2:3, ...

    Text Solution

    |

  18. Find the number of different signals that can be generated by arrangin...

    Text Solution

    |

  19. Find the sum of all natural numbers lying between 100 and 1000, which ...

    Text Solution

    |

  20. Find the three number is G.P. such that their sum is 19 and sum of the...

    Text Solution

    |