Home
Class 12
MATHS
Find the slop of line . The Equation of ...

Find the slop of line . The Equation of line is `2x-3y=2`

Text Solution

Verified by Experts

The correct Answer is:
A

`AD=OD-OA`
`=(b+c)/(2)-a=(b+c-2a)/(2)` [where, O is the origin for reference]
Similarly, `BE=OE-OB=(c+a)/(2)-b`
`=(c+a-2b)/(2)`
and `CF=(a+b-2b)/(2)`

Now, `AD+BE+CF=(b+c-2a)/(2)+(c+a-2b)/(2)+(a+b-2c)/(2)=0`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise VECTOR ALGEBRA EXERCISES 1: Single Option Correct Type Questions|1 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 3|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Find the slop of line . The Equation of line is 2x-5y=4

Find the slop of line having point (2,3) and (5,6)

Find the points of intersection of the line 2x+3y=18 and the cricle x^(2)+y^(2)=25 .

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

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

Find the Equation of line having slop 2 and point (2,3)

Find the equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point (- 2, 5).

Find the equations of the line intersecting the lines (x-a)/1=(y)/1=(z-a)/1 and (x-a)/2=y/1=(z+a)/2 and parallel to the line (x-a)/2=(y-a)/1=(z-2a)/2 .

Find the vector and cartesian equation of the line passing through the point (2,1,3) and perpendicular to the lines. (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x)/(-2)=(y)/(2)=(z)/(5)

ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. Find the slope of the normal having point (3,2) and (4,1)

    Text Solution

    |

  2. A line passes through the points whose position vectors are hati+hatj-...

    Text Solution

    |

  3. Find the slop of line . The Equation of line is 2x-3y=2

    Text Solution

    |

  4. If P and Q are the middle points of the sides BC and CD of the paralle...

    Text Solution

    |

  5. If the figure formed by the four points hati+hatj-hatk,2hati+3hatj,3ha...

    Text Solution

    |

  6. A and B are two points. The position vector of A is 6b-2a. A point P ...

    Text Solution

    |

  7. If three points A,B and C are collinear, whose position vectors are ha...

    Text Solution

    |

  8. If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC res...

    Text Solution

    |

  9. The two adjacent sides of a parallelogram are 2hati+4hatj-5hatk and ha...

    Text Solution

    |

  10. If A,B and C are the vertices of a triangle with position vectors vec(...

    Text Solution

    |

  11. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

    Text Solution

    |

  12. Find the discriminant of the quadratic equation x^2+3x+2

    Text Solution

    |

  13. In a regular hexagon ABCDEF, prove that AB+AC+AD+AE+AF=3AD.

    Text Solution

    |

  14. Find the dot product of the vector 2hati+3hatj+1hatk and 1hati+2hatj+3...

    Text Solution

    |

  15. If a and b are two non-zero and non-collinear vectors then a+b and a-b...

    Text Solution

    |

  16. If |veca+ vecb| lt | veca- vecb|, then the angle between veca and vecb...

    Text Solution

    |

  17. The magnitudes of mutually perpendicular forces a,b and c are 2,10 and...

    Text Solution

    |

  18. If hati-3hatj+5hatk bisects the angle between hata and -hati+2hatj+2ha...

    Text Solution

    |

  19. Find the discriminant of the quadratic equation x^2+5x+4=0 and also fi...

    Text Solution

    |

  20. Given three vectors vec a=6 hat i-3 hat j , vec b=2 hat i-6 hat ja ...

    Text Solution

    |