Home
Class 12
MATHS
Find the equation of a line which pas...

Find the equation of a line which passes through the point `(2,3,4)` and which has equal intercepts on the axes.

A

9x-20y+96=0

B

9x+20y=24

C

20x+9y+53=0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Let the line cuts the axes at point A(a,0) and B(0,B). Now, given that (-4,3) divides AB in the ratio 5:3. Then,,-4=3a/8 and 3=5b/8. Therefore, a = -32/3 and b=24/5. Then using the intercept form x/a+y/b=1, the equation of line is
`-(3x)/(32) + (5y)/(24) = 1`
or 9x-20y+96 = 0
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Multiple)|30 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Comprehension)|27 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise 2.6|5 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

Find the equation of a line which passes through the point (2,3) and which has equal intercepts on the axes.

Find the equation of the line which passes through the point (3, 4) and whose intercepts on the axes are equal in magnitude but opposite in sign.

Find the equation of a straight line passing through the point (-3,2) and cutting off equal intercepts on the cooredinate axes.

Find the equation of the lines passing through the point (1,1) and (-2,3)

Find the equation of the circle which passes through the point (2,-2), and (3,4) and whose centre lies on the line x+y=2 .

Find the equation of a circle which passes through the points (1,-2) and (4,-3) and whose centre lies on the line 3x+4y=0

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7.

CENGAGE-STRAIGHT LINES-Exercise (Single)
  1. The equation of a straight line on which the length of perpendicular ...

    Text Solution

    |

  2. A B C D is a square A-=(1,2),B-=(3,-4)dot If line C D passes through (...

    Text Solution

    |

  3. Find the equation of a line which passes through the point (2,3,4) ...

    Text Solution

    |

  4. A square of side a lies above the x-axis and has one vertex at the or...

    Text Solution

    |

  5. Let P=(-1, 0), Q=(0,0) and R=(3, 3sqrt3) be three points. The equatio...

    Text Solution

    |

  6. The equation of a line through the point (1, 2) whose distance from t...

    Text Solution

    |

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

    Text Solution

    |

  8. The locus of the centers of the circles (x-1)^2+y^2=10a n dx^2+(y-2)^2...

    Text Solution

    |

  9. A line with positive rational slope, passes through the point A(6,0) a...

    Text Solution

    |

  10. The line 2x - y = 1 bisects angle between two lines. If equation of o...

    Text Solution

    |

  11. If R is any point on the x-axis and Q is any point on they y-axis and ...

    Text Solution

    |

  12. The number of possible straight lines passing through point(2,3) and f...

    Text Solution

    |

  13. Two parallel lines lying in the same quadrant make intercepts a and b ...

    Text Solution

    |

  14. The line L1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , resp...

    Text Solution

    |

  15. A beam of light is sent along the line x-y=1 , which after refracting ...

    Text Solution

    |

  16. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  17. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  18. From the differential equation of family of lines situated at a consta...

    Text Solution

    |

  19. The lines y=m1x ,y=m2xa n dy=m3x make equal intercepts on the line x+y...

    Text Solution

    |

  20. The condition on a and b , such that the portion of the line a x+b y-1...

    Text Solution

    |