Home
Class 12
MATHS
A line passes through the point (2,2) an...

A line passes through the point `(2,2)` and is perpendicular to the line `3x + y =3,` then its `y`-intercept is

A

2

B

`5/3`

C

`4/3`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the line perpendicular to the line 3x +y =3 be `3y -x = lambda`
Since, it passes through (2,2)
` 6-2 = lambda Rightarrow lambda=4`
` Now, 3y -x=4 Rightarrow y/4/3 -x/4 =1`
Hence ,y - intercept is ` 4/3`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2(MISCELLANEOUS PROBLEMS)|30 Videos

  • SOLVED PAPER 2019

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|150 Videos

  • THREE DIMENSIONAL GEOMETRY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

Similar Questions

Explore conceptually related problems

A line passes through (2,2) and is perpendicular to the line 3x+y=3 , the y-intercept is?

A line passes through (2,2) and is perpendicular to the line 3x+y=3 .Its y-intercept is

Equation of line passing through the point (1,2) and perpendicular to the line y=3x-1 is

If a line with y-intercept 2, is perpendicular to the line 3x -2y =6, then its x-intercept is

Equation of a line passing through the point (2,3) and perpendicular to the line x+y+1=0 is :

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
  1. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

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

    Text Solution

    |

  3. If a striaght line passes through the points (-1/2,1) and (1,2) then ...

    Text Solution

    |

  4. The equation of the line passing through (0,0) and intersection point ...

    Text Solution

    |

  5. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

    Text Solution

    |

  6. The equations y= +-sqrt3 x,y =1 are the sides of

    Text Solution

    |

  7. The slopes of the lines, which make an angle 45^(@) with the line 3x -...

    Text Solution

    |

  8. The image of the origin with reference to the line 4x+3y -25=0 is

    Text Solution

    |

  9. The length of perpendicular from the point ( a cos prop, a sin prop) ...

    Text Solution

    |

  10. L is a variable line such that the algebraic sum of the distances of ...

    Text Solution

    |

  11. The perpendicular bisector of the line segment joining P (1, 4) and ...

    Text Solution

    |

  12. A line passes through the point of intersection of the line 3x+y+1=0 a...

    Text Solution

    |

  13. The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,...

    Text Solution

    |

  14. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  15. If the lines kx-2y-1=0 and 6x-4y-m=0 are identical (coindent) lines, t...

    Text Solution

    |

  16. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

    Text Solution

    |

  17. The line passing through the point of intersection of x + y = 2,x-y = ...

    Text Solution

    |

  18. The equation of the line passing through the point of intersection of ...

    Text Solution

    |

  19. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...

    Text Solution

    |

  20. If (sin theta, cos theta) and (3,2) lie on the same side of the line x...

    Text Solution

    |

  21. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

    Text Solution

    |