Home
Class 11
MATHS
The area of the triangle formed by the i...

The area of the triangle formed by the intersection of a line parallel to x-axis and passing through P (h, k) with the lines y = x and x + y = 2 is `4h^2`. Find the locus of the point P.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

The area of the triangle formed by the intersectionf of a line parallal to x-axis and passing through P(h,k), with the lines y=x and x+y=2 is h^(2) . The locus of the point P is

find the area of the triangle formed by the lines y=0, x+y=0 and x-4=0

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x - 7y + 5 = 0 " and " 3x + y = 0 .

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of the line which is parallel to 3x-2y+5=0 and passes through the point (5,-6) .

Find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (-2, 3) .

Find the area of the triangle formed by the lines y - x = 0, x + y = 0 " and " x - k = 0 .

Find the equation of line passing through the point (2,-3) and parallel with the line 3x-4y+6=0 .

Find the equation of line passing through the point (1,-2) and parallel with the line x-2y+6=0 .

Find the area of the triangle formed by the straight line x sin alpha + y cos alpha = p with the axes of coordinates .

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. A straight lines L through the origin meets the lines x+y=1 and x+y=3 ...

    Text Solution

    |

  2. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

    Text Solution

    |

  3. The area of the triangle formed by the intersection of a line parallel...

    Text Solution

    |

  4. The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...

    Text Solution

    |

  5. The area enclosed within the curve |x|+|y|=1 is

    Text Solution

    |

  6. The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6and 4...

    Text Solution

    |

  7. If a , b and c are in A P , then the straight line a x+b y+c=0 will al...

    Text Solution

    |

  8. Statement-l: If the diagonals of the quadrilateral formed by the lines...

    Text Solution

    |

  9. Statement :Two different lines can be drawn passing through two given ...

    Text Solution

    |

  10. Statement 1: The joint equation of lines y=xa n dy=-x is y^2=-x^2, i.e...

    Text Solution

    |

  11. Statement 1: If the sum of algebraic distances from point A(1,1),B(...

    Text Solution

    |

  12. Each question has four choice: a, b, c and d, out of which only one is...

    Text Solution

    |

  13. Statement 1:If the point (2a-5,a^2) is on the same side of the line x+...

    Text Solution

    |

  14. Statement 1: Each point on the line y-x+12=0 is equidistant from the l...

    Text Solution

    |

  15. If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, the...

    Text Solution

    |

  16. the diagonals of the parallelogram formed by the the lines a1x+b1y+c1=...

    Text Solution

    |

  17. If the lines joining the origin and the point of intersection of curve...

    Text Solution

    |

  18. Find the angle between the lines joining the origin to the points of i...

    Text Solution

    |

  19. Prove that the straight lines joining the origin to the points of inte...

    Text Solution

    |

  20. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

    Text Solution

    |