Home
Class 12
MATHS
The base of triangle passes through a fi...

The base of triangle passes through a fixed point (f,g) and its other side sare bisected at right angles by the lines `y^(2)-8xy-9x^(2)=0`. Detrmine the locus of its vertex.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The area of the triangle formed by the lines 4x^(2)-9xy-9y^(2)=0 and x=2 is

A variable circle passes through the fixed point (2,0) and touches y-axis then the locus of its centre is

Find the equation of the lines bisecting the angles between the pair of lines 3x^(2)+xy-2y^(2)=0

A line passes through the point (2,2) and is perpendicular to the line 3x+y=3, then its y -intercept is

A variable circle passes through the fixed point (2, 0) and touches y-axis Then, the locus of its centre, is

Length of each leg of an isosceles right angled triangle, formed by the lines 3x^(2)-8xy-3y^(2)=0 and y-2x-3 is

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally,then the locus of its centre is

RESONANCE DPP-JEE MAINS-All Questions
  1. ABC is a right triangle, right - angled at the vertex A. A circle is d...

    Text Solution

    |

  2. All the values of ' a ' for which the quadratic expression a x^2+(a-2...

    Text Solution

    |

  3. The base of triangle passes through a fixed point (f,g) and its other ...

    Text Solution

    |

  4. Sn=3/(1^2)+3/(1^2+2^2)+7/(1^2+2^2+3^2)+ upto n terms, then Sn=(6n)/(n+...

    Text Solution

    |

  5. Let A (-2, 0) and B(2, 0), then the number of integral values of a, a ...

    Text Solution

    |

  6. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1...

    Text Solution

    |

  7. [2x]-2[x]=lambda where [.] represents greatest integer function and {....

    Text Solution

    |

  8. If 2a+b+3c=1a n da >0,b >0,c >0, then the greatest value of a^4b^2c^2 ...

    Text Solution

    |

  9. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

    Text Solution

    |

  10. Solve |(x^2-5x+4)/(x^2-4)|<=1

    Text Solution

    |

  11. A square matrix B is said to be an orthogonal matrix of order n if BB^...

    Text Solution

    |

  12. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

    Text Solution

    |

  13. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

    Text Solution

    |

  14. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  15. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  16. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

    Text Solution

    |

  17. Consider a square matrix A or order 2 which has its elements as 0, 1, ...

    Text Solution

    |

  18. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

    Text Solution

    |

  19. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

    Text Solution

    |

  20. If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...

    Text Solution

    |