Home
Class 12
MATHS
Transform the equation of the line sqrt(...

Transform the equation of the line `sqrt(3)x+y-8=0` to (i) slope intercept form and find its slope and y-intercept (ii) intercept form and find intercepts in the coordinates axes (iii) normal form and find the inclination of the perpendicular segment from the origin on the line with the axis and its length.

Text Solution

Verified by Experts

The correct Answer is:
(a) Slope `-sqrt3,` y-interxcept =8
(b) x-intercept `=(8)/(sqrt3),` y-intercept =8
(c ) `p=4omega=(pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|50 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|33 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

Reduce x+sqrt(3)y+4=0 to the : Slope intercepts form and find its slope and y- intercept.

Reduce the equation sqrt3y+y+2=0 to (i) slope-intercept form and final the slope and y-intercept. (ii) intercepts form and find the intercepts on the axes.

Slope-intercept form of a line

Reduce the equation 6x+3y-5=0 to the slope-intercept form and find its slope and y-intercept.

Put the equation (x)/(a)+(y)/(b)=1 to the slope intercept form and find its slope and y- intercept

Reduce the equation sqrt(3)x+y+2=0 to: Slope intercept form and find slope and y- intercept.Intercept form and find intercept on the axes The normal form and find p and alpha

Reduce the equation 2x-3y-5=0 to slope-intercept form, and find from it the slope and y-intercept

Reduce the equation y+5=0 to slope-intercept form, and hence find the slope and the y-intercept of the line.

Reduce the equation of the plane 2x+3y-z=6 to intercept form and find its intercepts on the coordinate axes.

Reduce the equation 5x+7y-35=0 to slope-intercept form, and hence find the slope and the y-intercept of the line

AAKASH INSTITUTE-STRAIGHT LINES-TRY YOURSELF
  1. Let P(0,1)and Q(4,0) are two points. Find the slope of line perpendicu...

    Text Solution

    |

  2. Prove that (-2,-1),(1,0),(4,3)and (1,2) are vertices of a parallelogra...

    Text Solution

    |

  3. Find the angle between x-axis and line joining points (0,0) and (1, 2)...

    Text Solution

    |

  4. Find the value of x for which the points (1,-1),(2,1)and (x,5) are col...

    Text Solution

    |

  5. Find the equation of the line parallel to x-axis and passing through (...

    Text Solution

    |

  6. Find the equations of straight lines which pass through (2,1) and are ...

    Text Solution

    |

  7. Find the equation the straight line passing through (-2,3) and incline...

    Text Solution

    |

  8. Find the equation of the line passing through (0,a)and (b,0).

    Text Solution

    |

  9. Prove that the points A(4,3),B(3,0)and C(2,-3) are collinear. Also, fi...

    Text Solution

    |

  10. Find the equation of a line wiith slope -1 and cutting off an intercep...

    Text Solution

    |

  11. Find the equation of the line cutting off intercepts of 2 and 4 on neg...

    Text Solution

    |

  12. Find the equation of the line which passes through the point (5,6) and...

    Text Solution

    |

  13. Find the equation of the line whose perpendicular distance from origin...

    Text Solution

    |

  14. Find the equation of the straight line upon which the length of the ...

    Text Solution

    |

  15. Transform the equation of the line sqrt(3)x+y-8=0 to (i) slope interce...

    Text Solution

    |

  16. Reduce the lines 3x-4y+4=0\ a n d\ 2x+4y-5=0 to the normal form and he...

    Text Solution

    |

  17. Find the perpendicular distance from the origin of the perpendicular f...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the distance between the parallel lines x+y=1and x+y+2=0

    Text Solution

    |

  20. Prove that the lines 2x+3y=19 and 2x+3y+7=0 are equidistant from the l...

    Text Solution

    |