Home
Class 11
MATHS
If the lines x+(a-1)y+1=0 and 2x+a^2y-1=...

If the lines `x+(a-1)y+1=0` and `2x+a^2y-1=0` are perpendicular, then find the value of `adot`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

If the point (a^2,a+1) lies in the angle between the lines 3x-y+1=0 and x+2y-5=0 containing the origin, then find the value of adot

If the straight lines kx – 5y + 4 = 0 and 4x – 2y + 5 = 0 are perpendicular to each other. Find the value of k.

If a circle passes through the points of intersection of the coordinates axes with the lines lambdax-y+1=0 and x-2y+3=0 , then find the value of lambda .

If 6x + 5y – 7 = 0 and 2px + 5y + 1 = 0 are parallel lines, find the value of p.

The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicular to a common line for

If the curves a y+x^2=7 and x^3=y cut orthogonally at (1,1) , then find the value adot

Find the equation of the straight line which passes throught the point of intersection of the straight lines x+y+9=0 and 3x-2y+2=0 and is perpendicular to the line 4x+5y +1=0.

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

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 .

If both the roots of a x^2+a x+1=0 are less than 1, then find the exhaustive range of values of adot

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Find the equations of the lines which pass through the origin and are ...

    Text Solution

    |

  2. If (-2,6) is the image of the point (4,2) with respect to line L=0, th...

    Text Solution

    |

  3. If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find...

    Text Solution

    |

  4. Find the eqution of the right bisector of the line segment joining the...

    Text Solution

    |

  5. Find the slope of the line perpendicular to the line joining the point...

    Text Solution

    |

  6. If the coordinates of the vertices of triangle ABC are (-1,6), (-3,-9)...

    Text Solution

    |

  7. Find the eqution of the line perpendicular to the line (x)/(b)-(y)/(b)...

    Text Solution

    |

  8. Find the area bounded by the curves x+2|y|=1 and x=0.

    Text Solution

    |

  9. Find the equaiton of the straight line passing through the intersectio...

    Text Solution

    |

  10. Find the value of lambda, if the lines 3x-4y-13=0, 8x-11y-33, and 2x-3...

    Text Solution

    |

  11. If the point P(a ,a^2) lies completely inside the triangle formed by ...

    Text Solution

    |

  12. If the point (a,a) is placed in between the lines |x+y| = 4, then find...

    Text Solution

    |

  13. Find the set of positive values of b for which the origin and the poin...

    Text Solution

    |

  14. If the point P(a^(2), a) lies in the region of acute angle between the...

    Text Solution

    |

  15. Find the range of values of the ordinate of a point moving on the line...

    Text Solution

    |

  16. The point (8,-9) with respect to the lines 2x+3y-4=0 and 6x+9y+8=0 lie...

    Text Solution

    |

  17. If point (a^(2) ,a+1) lies in the angle between the line 3x-y+1=0 and ...

    Text Solution

    |

  18. Find the range of alpha if (alpha,2+alpha) and ((3alpha)/2,a^2) lie on...

    Text Solution

    |

  19. How the following pairs of points are placed w.r.t the line 3x-8y-7=0?...

    Text Solution

    |

  20. If the line (x)/(b) + (y)/(b) = 1 moves in such a way that (1)/(a(2)) ...

    Text Solution

    |