Home
Class 11
MATHS
What are the points on the yaxis whose d...

What are the points on the yaxis whose distance from the line `x/3+y/4=1`is 4 units.

Text Solution

Verified by Experts

Given equation is ,
`x/3+y/4 = 1`
`=>4x+3y-12 = 0`
Let the required point is `A(0,p)`.
Then, distance from `(0,p) = |(4(0)+3(p)-12)/sqrt(4^2+3^2)|`
Here, `d = 4`,
`:.4 = +-(3p-12)/5`
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.1|14 Videos
  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.2|20 Videos
  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.3|18 Videos
  • STATISTICS

    NCERT|Exercise EXERCISE 15.2|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise EXERCISE 3.1|7 Videos

Similar Questions

Explore conceptually related problems

What are the points on y-axis whose distance from the line (x)/(3)+(y)/(4)=1 is 2 units

Find the points on the X-axis, whose distances from the line x/3+y/4=1 are 4 units.

Find the points of the xaxis,whose distances from the line (x)/(3)+(y)/(4)=1 are 4 unit is.

What are the points on the y-axis whose perpendicular distance from the line (x)/(3)-(y)/(4)="1 is 3 units"

What are the points on x-axis whose perpendicular distance from the line 4x+3y=12 is 4?

What are the points on x-axis whose perpendicular distance from the line 4x+3y=12\ s i\ 4?

What are the points on the x-axis whose perpendicular distance from the line (x)/(a)+(y)/(b)=1 is a

Find the points on the circle x+y=4 whose distance from the line 4x+3y=12 is un (4)/(3) units.

What are the points on the axis of x whose perpendicular distance from the straight line x/p + y/q = 1 is p?

Find the points on y -axis whose perpendicular distance from the line 4x-3y-12=0 is 3.

NCERT-STRAIGHT LINES-MISCELLANEOUS EXERCISE
  1. A ray of light passing through the point (1, 2) reflects on the x–axi...

    Text Solution

    |

  2. Find the direction in which a straight line must be drawn through the...

    Text Solution

    |

  3. The hypotenuse of a right angled triangle has its ends at the points (...

    Text Solution

    |

  4. In what ratio, the line joining (1, -1)and (5, 7)is divided by the lin...

    Text Solution

    |

  5. Find the distance of the line 4x+7y+5=0 from the point (1,2) along th...

    Text Solution

    |

  6. If three lines whose equations are y=m1x+c1,y=m2x+c2and y=m3x+c3are c...

    Text Solution

    |

  7. Find the equation of the lines through the point (3, 2) which make an...

    Text Solution

    |

  8. Find the equation of the line passing through the point of intersecti...

    Text Solution

    |

  9. Show that the equation of the passing through the origin and making a...

    Text Solution

    |

  10. Find the image of the point (3, 8)with respect to the line x + 3y = 7...

    Text Solution

    |

  11. If the lines y=3x+1and 2y=x+3are equally inclined to the liney=mx+4, ...

    Text Solution

    |

  12. Find the equation of a line drawn perpendicular to the line x/4+y/6=1t...

    Text Solution

    |

  13. Find the equation of the line parallel to yaxis and drawn through the...

    Text Solution

    |

  14. Find perpendicular distance from the origin of the line joining the p...

    Text Solution

    |

  15. What are the points on the yaxis whose distance from the line x/3+y/4=...

    Text Solution

    |

  16. Find the equations of the lines, which cutoff intercepts on the axes ...

    Text Solution

    |

  17. Find the values of theta and p, if the equation xcostheta+ysintheta...

    Text Solution

    |

  18. Find the values of k for which the line (k-3)x-(4-k^2)y+k^2-7k+6=0is (...

    Text Solution

    |

  19. Find the value of p so that the three lines 3x + y -2 = 0,p x + 2 y -...

    Text Solution

    |

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

    Text Solution

    |