Home
Class 11
MATHS
The locus of the orthocentre of the tria...

The locus of the orthocentre of the triangle formed by the lines : `(1 + p)x - py + p(1+ p) = 0, (1 + q)x- qy + q(1+ q) = 0, and y = 0`, where `p ne q`, is :

A

A hyperbola

B

A parabola

C

An ellipse

D

A straight line.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

The area of the triangle formed by the points P(0,1),Q(0,5) and R(3,4) is

Evaluate ( 4p - q) ^(2) - ( 4p + q) ^(2) if p =- 1 and q =2

The value of 1.999 in thr form p/q, where p and q are integers and qne0 is

The equation of the circle, while touches the line x= y at origin and passes through the point (2, 1), is x^2+y^2 + px + qy =0 . Then p, q are:

If the roots of the equation 1/(x+p)+1/(x+q)=1/r, (x ne -p, x ne -q, r ne 0) are equal in magnitude but opposite in sign, then p + q is equal to :

If the distance from the point P(1, 1, 1) to the line passing through the points Q(0, 6, 8) andR(-1, 4, 7) is expressed in the form sqrt((p)/(q)) , where p and q are co-prime, then the value of ((q+p)(p+q-1))/(2) is equal to

The numbers 1.bar27 in the form p/q , where p and q are integers and qne0 is

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  2. The normal at a point P, on the ellipse x^2+4y^2=16 meets the x-axis a...

    Text Solution

    |

  3. The locus of the orthocentre of the triangle formed by the lines : (1 ...

    Text Solution

    |

  4. An ellipse intersects the hyperbola 2x^2- 2y^2 = 1 orthogonally. The e...

    Text Solution

    |

  5. The lines p(p^(2)+1)x-y+q=0 and (p^(2)+1)^(2)x+(p^(2)+1)y+2q = 0 are ...

    Text Solution

    |

  6. If P and Q are the points of intersection of the circles x^(2)+y^(2)+3...

    Text Solution

    |

  7. The ellipse x^2+ 4y^2 = 4 is inscribed is a rectangle alligned with th...

    Text Solution

    |

  8. The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...

    Text Solution

    |

  9. The circle x^(2)+y^(2d)=4x+8y+5 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

  10. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  11. Let A and B be two distinct points on the parabola y^2=4x. If the axis...

    Text Solution

    |

  12. A straight line L through the point (3,-2) is incined at an angle 60^...

    Text Solution

    |

  13. The lines x + y =|a| and ax-y= 1 intersect each other in the first qua...

    Text Solution

    |

  14. If A (2, -3) and B (-2, 1) are two vertices of a triangle and third ve...

    Text Solution

    |

  15. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

    Text Solution

    |

  16. The circle passing through the point (-1,0) and touching the Y-axis at...

    Text Solution

    |

  17. Find the equation of the circle passing through (1,0) and (0,1) and h...

    Text Solution

    |

  18. Let (x,y) be any point on the parabola y^2= 4x . Let P be the point th...

    Text Solution

    |

  19. Find the equation of the ellipse referred to its axes as the axes of c...

    Text Solution

    |

  20. The equation of the hyperbola whose foci are (- 2, 0) and (2, 0) and e...

    Text Solution

    |