Home
Class 12
MATHS
The line joining the points A(2,1) and B...

The line joining the points `A(2,1)` and `B(3,2)` is perpendicular to the line `(a^2)x+(a+2)y+2=0.` Find the values of `a`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|9 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE ENGLISH|Exercise Comprehension Type|2 Videos

Similar Questions

Explore conceptually related problems

The line through A(-2, 3) and B(4, b) is perpendicular to the line 2x - 4y = 5 . Find the value of b.

The line through A (-2, 3) and B (4, b) is perpendicular to the line 2x-4y=5 . Find the value of b.

If the line joining the points (6,-2) and (8,4) is perpendicular to the line joining the points (12,8) and (24,y) , find the value of y .

A line passing through the points (a ,\ 2a) and (-2,\ 3) is perpendicular to the line 4x+3y+5=0 , find the value of adot

Show that the line joining the points (2,-6) and (-4,-8) is perpendicular to the line joining the points (4,-2) and (6,-8) .

Determine the value of k so that the line joining points A(k,1,-1) and B(2,0,2k) is perpendicular to the line joining the points C(4,2k,1) and D(2,3,2) .

The line joining (-5, 7) and (0, -2) is perpendicular to the line joining (1, -3) and (4, x). Find x.

Line joining the points (3,-4) and (-2,6) is perpendicular to the line joining the points (-3,6) and (9,-18).

Line joining the points (3,-4) and (-2,6) is perpendicular to the line joining the points (-3,6) and (9,-18).

Show that the line joining the points (1,2,3), (-1,-2,-3) is perpendicular to the line joining (-2,1,5),(3,3,2).

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), ...

    Text Solution

    |

  2. The angle between the line joining the points (1,-2) , (3,2) and the l...

    Text Solution

    |

  3. The line joining the points A(2,1) and B(3,2) is perpendicular to the...

    Text Solution

    |

  4. For what value of k are the points (k ,2-2k)(-k+1,2k)a n d(-4-k ,6,6-2...

    Text Solution

    |

  5. Find the area of the quadrilateral A B C D having vertices A(1,1),B(...

    Text Solution

    |

  6. Given that P(3,1),Q(6. 5), and R(x , y) are three points such that t...

    Text Solution

    |

  7. If O is the origin and if the coordinates of any two points Q1 \ a n...

    Text Solution

    |

  8. Prove that the area of the triangle whose vertices are (t ,t-2),(t+...

    Text Solution

    |

  9. Find the area of a triangle having vertices A(3,2),B(11,8) and C(8,12)...

    Text Solution

    |

  10. In A B C Prove that A B^2+A C^2=2(A O^2+B O^2) , where O is the ...

    Text Solution

    |

  11. Two points O(0,0) and A(3,sqrt(3)) with another point P form an ...

    Text Solution

    |

  12. Find the coordinate of the circumcenter of the triangle whose vertices...

    Text Solution

    |

  13. Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), ...

    Text Solution

    |

  14. If (b2-b1)(b3-b1)+(a2-a1)(a3-a1)=0 , then prove that the circumcente...

    Text Solution

    |

  15. If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find ...

    Text Solution

    |

  16. If A(2,-1)a n dB(6,5) are two points, then find the ratio in which ...

    Text Solution

    |

  17. Angle of a line with the positive direction of the x-axis is theta ...

    Text Solution

    |

  18. Let A(6,4)a n dB(2,12) be two given point. Find the slope of a line ...

    Text Solution

    |

  19. If the points (a, 0), (b,0), (0, c), and (0, d) are concyclic (a, b, c...

    Text Solution

    |

  20. If A(-2,1),B(2,3)a n dC(-2,-4) are three points, find the angle betwee...

    Text Solution

    |