Home
Class 12
MATHS
The equation of a straight line passing ...

The equation of a straight line passing through the point (2, 3) and inclined at an angle of `tan^(-1)(1/2)` with the line `y+2x=5` `y=3` (b) `x=2` `3x+4y-18=0` (d) `4x+3y-17=0`

A

y=3

B

x=2

C

3x+4y-18=0

D

4x+3y-17=0

Text Solution

Verified by Experts

The correct Answer is:
B, C
Let the slope of required line be m. Then
`(1)/(2) = |(m-(-2))/(1+(-2)m)|`
`"or " m=-(3)/(4) " and " oo`
Hence, the equation of line is y-3=-(3/4) (x-2) and x=2.
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Comprehension)|27 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Matrix)|8 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Single)|82 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

Similar Questions

Explore conceptually related problems

Write the equation of the line passing through the point (1,-1) and parallel to the line x+3y -4=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 a straight line passing through the point (-5,4) and which cuts off an intercept of sqrt(2) units between the lines x+y+1=0 and x+y-1=0.

Find the equation of the pair of straight lines passing through the point (1,3) and perpendicular to the lines 2x-3y+1=0 and 5x+y-3=0.

The y-intercept of the straight line passing through (1,3) and perpendicular to 2x-3y+1=0 is

Find the equation of the straight line that passes through the point (3,4) and is perpendicular to the line 3x+2y+5=0

Find the equation of the lines passing through the point of intersection lines 4x-y+3=0 and 5x+2y+7=0 through the point (-1,2)

CENGAGE-STRAIGHT LINES-Exercise (Multiple)
  1. d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))]= 1/(2(1+x)sqrt(x)) (b) 3/((1+...

    Text Solution

    |

  2. The equation of the lines passing through the point (1,0) and at a dis...

    Text Solution

    |

  3. The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Equation(s) of the straight line(s), inclined at 30^0 to the x-axis su...

    Text Solution

    |

  7. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are concur...

    Text Solution

    |

  8. The equation of a straight line passing through the point (2, 3) and ...

    Text Solution

    |

  9. The equation of the line on which the perpendicular from the origin ma...

    Text Solution

    |

  10. A line is drawn perpendicular to line y=5x , meeting the coordinate ax...

    Text Solution

    |

  11. If x-2y+4=0a n d2x+y-5=0 are the sides of an isosceles triangle having...

    Text Solution

    |

  12. The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, a...

    Text Solution

    |

  13. Three lines px + qy+r=0, qx + ry+ p = 0 and rx + py + q = 0 are concur...

    Text Solution

    |

  14. The equation of bisector of two lines L(1) " and " L(2) are 2x-16y-5=0...

    Text Solution

    |

  15. Consider the lines L(1) -=3x-4y+2=0 " and " L(2)-=3y-4x-5=0. Now, choo...

    Text Solution

    |

  16. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

    Text Solution

    |

  17. The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

    Text Solution

    |

  18. Let u-=a x+b y+a b3=0,v-=b x-a y+b a3=0,a ,b in R , be two straight l...

    Text Solution

    |

  19. Two sides of a triangle are parallel to the coordinate axes. If the ...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |