Home
Class 11
MATHS
Determine x so that the line passing thr...

Determine `x` so that the line passing through `(3,4)a n d(x ,5)` makes an angle of`` `135^@` angle with positive direction of x-axis

Text Solution

Verified by Experts

we have that the line passes `A(3,4) & B(x, 5)`
Hence, `x_{1}=3, x_{2}=x, y_{1}=4, y_{2}=5`
slope `=m=tan (1350)`
`=tan (90+45)`
`=-cot (45)`
`=-1`
`m=frac{(y_{2}-y_{1})}{x_{2}-x_{1}}`
`-1=frac{(5-4)}{(x-3)}`
...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Determine x so that the line passing through (3,4) and (x,5) makes an angle of 135^(@) with the positive direction of the x-axis.

Determine 'a' so that the line passing through the point (3,4)and (a,5) makes angle of 135^(@) with positive x-axis.

The equation of a line which passes through (2,3) and makes an angle of 30^(@) with the positive direction of x-axis is

Find the equation a line passing through (2,-3) and inclined at an angle of 15^(@) with the positive direction of x -axis.

The equation of a line passing through (2,-3) and inclined at an angle of 135^(@) with the positive direction of X-axis is

Find the equation of the straight line passing through (3,-2) and making an angle of 60^(@) with the positive direction of y-axis.

Find the equation of the line which passes through the point (3,-4) and makes an angle of 60^(@) with the positive direction of x - axis ?

Find the equation of a line passing through the point (0,-2) and makes an angle of 75^(@) from the positive direction of X -axis.

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Let A(6,4)a n dB(2,12) be two given points. Find the slope of a line p...

    Text Solution

    |

  2. Find the angle between the lines joining the point (0,0),(2,3) and the...

    Text Solution

    |

  3. Determine x so that the line passing through (3,4)a n d(x ,5) makes an...

    Text Solution

    |

  4. If A(-2,1),B(2,3)a n dC(-2,-4) are three points, find the angle betwee...

    Text Solution

    |

  5. Find the equation of a straight line which passes through the point of...

    Text Solution

    |

  6. Classify the following pairs of lines as coincident, parallel or int...

    Text Solution

    |

  7. Find the slope of the lines which make an angle of 45^0 with the line ...

    Text Solution

    |

  8. . The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 f...

    Text Solution

    |

  9. If the point as (4,7) and (costheta,sintheta) , where 0ltthetaltpi , l...

    Text Solution

    |

  10. Find the centroid, incentre circum-centre and orthocentre of the trian...

    Text Solution

    |

  11. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

    Text Solution

    |

  12. Find the tangent of the angle between the lines whose intercepts on th...

    Text Solution

    |

  13. Find the value of k if the straight line 2x+3y+4+k(6x-y+12)=0 is perpe...

    Text Solution

    |

  14. Find the values of beta so that the point (0,beta) lies on or inside t...

    Text Solution

    |

  15. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

    Text Solution

    |

  16. Find the ratio in which the line 3x+4y+2=0 divides the distance betwe...

    Text Solution

    |

  17. Prove that the area of the parallelogram formed by the lines xcosalpha...

    Text Solution

    |

  18. Find the equation of the perpendicular bisector of the line segment ...

    Text Solution

    |

  19. The vertices of a triangle are A(10 ,4),B(-4,0)a n dC(-2, 8)dot Find ...

    Text Solution

    |

  20. Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its ...

    Text Solution

    |