Home
Class 12
MATHS
Show that a homogeneous equations of deg...

Show that a homogeneous equations of degree two in x and y , i.e., `ax^(2) + 2 hxy + by^(2) = 0` represents a pair of lines passing through the origin if `h^(2) - 2ab ge 0`.

Promotional Banner

Topper's Solved these Questions

  • MARCH 2014

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-II|20 Videos

  • JULY 2018

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION II|20 Videos

  • MARCH 2015

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-II|20 Videos

Similar Questions

Explore conceptually related problems

The equation 4x^(2)+hxy+y^(2)=0 represents a pair of coincident lines through origin, if h=

The equation ax^(2)+2hxy+ay^(2)=0 represents a pair of coincident lines through origin, if

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

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

If the equation x^(2)+2hxy+2fy+c=0 represents a pair of lines, then

The equation ax^(2)+2hxy+by^(2)=0 represents a pair of perpendicular lines if

The pair of lines ax^(2)+2hxy+by^(2)=0 represents a pair of perpendicular lines then

If the equation ax^(2)+hxy+by^(2)+4gx+6fy+4c=0 represents a pair of lines then

Show that the equation 2x^(2) + xy - y^(2) + x + 4y - 3 = 0 represents a pair of lines.

GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- MARCH 2014-SECTION-II
  1. Show that a homogeneous equations of degree two in x and y , i.e., ax...

    Text Solution

    |

  2. If y=1-costheta,x=1-sintheta,"then "(dy)/(dx)" at "theta=(pi)/(4)" is"

    Text Solution

    |

  3. The integrating factor of linear differential equation (dy)/(dx) + y s...

    Text Solution

    |

  4. Find the equation of the tangent to the curve y=3x^(2)-x+1 at P(1, 3).

    Text Solution

    |

  5. Examine the continuity of the funciton f(x)=sinx - cos x, " for "x n...

    Text Solution

    |

  6. Verify Rolle's theorem for the following function f(x) = x^2 - 5x + 9,...

    Text Solution

    |

  7. intsec^nxtanxdx,n!=0

    Text Solution

    |

  8. The probability mass function (p. m. f.) of X is given below : |{:(X...

    Text Solution

    |

  9. Given that X ~ B( n=10, p) .If E (x) = 8, find the value of p .

    Text Solution

    |

  10. If y =f(u) is differentiable function of u, and u=g(x) is a differenti...

    Text Solution

    |

  11. Obtion the differential equation by elininating arbitrary constants A,...

    Text Solution

    |

  12. Evaluate int(x^2+1)/((x^2+2)(2x^2+1))dx

    Text Solution

    |

  13. An open box is to be made out of a piece of a square card board of sid...

    Text Solution

    |

  14. Property 6: If f(x) is a continuous function defined on [0; 2a] then ...

    Text Solution

    |

  15. If the function f(x) is continuous in the interval [-2, 2]. find the ...

    Text Solution

    |

  16. Solve the following differential equations : (1) (dy)/(dx) = (y + s...

    Text Solution

    |

  17. A fiar coin is tossed 18 times. Find the probability that it shows lea...

    Text Solution

    |

  18. If x^(p) y^(q) = (x + y)^((p + q)) " then " (dy)/(dx)= ?

    Text Solution

    |

  19. Find the area bounded by the cirxle x^2+y^2 =16 and the line y=x in th...

    Text Solution

    |

  20. int sqrt(x^2 - a^2) = 1/2 x sqrt (x^2 - a^2) - 1/2 a^2 log ( x + sqrt(...

    Text Solution

    |

  21. A random variable X has the following probability distribution : (a...

    Text Solution

    |