Home
Class 11
MATHS
Consider the equation y-y1=m(x-x1) . If ...

Consider the equation `y-y_1=m(x-x_1)` . If `ma n dx_1` are fixed and different lines are drawn for different values of `y_1,` then (a) the lines will pass through a fixed point (b) there will be a set of parallel lines (c) all the lines intersect the line `x=x_1` (d)all the lines will be parallel to the line `y=x_1`

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

Show that the straight lines given by x(a+2b)+y(a+3b)= a + b for different values of a and b pass through a fixed point.

The distance of the line 2x -3y =4 from the point (1,1) measured parallel to the line x+y=1 is-

Find the distance of the point (3. 5) from the line 2x + 3y = 14measured parallel to th line x - 2y= 1,

Find the equations of the lines which pass through the origin and are inclined at an angle tan^(-1)m to the line y=m x+c dot

Find the equation of the line passing through (1,1) and parallel to the line 2x-3y+5=0.

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

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

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

A straight line through the point (3, -2) is inclined at an angle 60^(@) to the line sqrt3x+y=1 . If it intersects the X-axis, then its equation will be

Find the equation of the line passing through the point(1,2,3) and parallel to the line (x-1)/2=(7-y)/3=-z .

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Find the equation of a straight line passing through the point (-5,4) ...

    Text Solution

    |

  2. Are the points (3,4) and (2,-6) on the same or opposite sides of the l...

    Text Solution

    |

  3. Consider the equation y-y1=m(x-x1) . If ma n dx1 are fixed and differe...

    Text Solution

    |

  4. If the straight line a x+c y=2b , where a , b , c >0, makes a triangle...

    Text Solution

    |

  5. ABCD is a square whose vertices are A(0, 0), B(2, 0), C(2, 2), and D(0...

    Text Solution

    |

  6. The x-coordinates of the vertices of a square of unit area are the r...

    Text Solution

    |

  7. Consider a triangle with vertices A(1,2),B(3,1), and C(-3,0)dot Find t...

    Text Solution

    |

  8. If (x,y) is a variable point on the line y=2x lying between the lines ...

    Text Solution

    |

  9. A rectangle has two opposite vertices at the points (1, 2) and (5,5). ...

    Text Solution

    |

  10. If D , E ,a n dF are three points on the sides B C ,A C ,a n dA B of a...

    Text Solution

    |

  11. Find the coordinates of the foot of the perpendicular drawn from the p...

    Text Solution

    |

  12. Let the sides of a parallelogram be U=a, U=b,V=a' and V=b', where U=lx...

    Text Solution

    |

  13. Find the image of the point (-8,12) which respect to the line 4x + 7y...

    Text Solution

    |

  14. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

    Text Solution

    |

  15. In a triangle A B C , side A B has equation 2x+3y=29 and side A C has ...

    Text Solution

    |

  16. The fooot of the perpendicular on the line 3x+y=lambda drawn from the ...

    Text Solution

    |

  17. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

    Text Solution

    |

  18. The real value of a for which the value of m satisfying the equation (...

    Text Solution

    |

  19. If one of the sides of a square is 3x-4y-12 = 0 and the center is (0,0...

    Text Solution

    |

  20. If the quadrilateral formed by the lines a x+b y+c=0,a^(prime)x+b^(pri...

    Text Solution

    |