Home
Class 12
MATHS
The point on the curve y=x^2-3x+2 where ...

The point on the curve `y=x^2-3x+2` where tangent is perpendicular to `y=x` is `(0,2)` (b) `(1,\ 0)` (c) `(-1,\ 6)` (d) `(2,\ -2)`

Text Solution

Verified by Experts

Given y = x
Slope = m = 1
`m xx m_t = -1`
`1 * m_t = -1`
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA|Exercise Solved Examples And Exercises|134 Videos

  • THE PLANE

    RD SHARMA|Exercise Solved Examples And Exercises|301 Videos

Similar Questions

Explore conceptually related problems

The point on the curve y= sqrt(x-1) where the tangent is perpendicular to the line 2x+y-5=0 is

The point on the curve y=sqrt(x-1) , where the tangent is perpendicular to the line 2x+y-5=0 is

The point on the curve y=3x^(2)+2x+5 at which the tangent is perpendicular to the line x+2y+3=0

The points on the curve y=sqrt(x-3) , where the tangent is perpendicular to the line 6x+3y-5=0 are

The points on the curve y=x^(3)-2x^(2)-x , where the tangents are parallel to 3x-y+1=0 are

The point on the curve y^2=x where tangent makes 45o angle with x-axis is (1//2,\ 1//4) (b) (1//4,\ 1//2) (c) (4,\ 2) (d) (1,\ 1)

Find the points on the curve 4x^2+9y^2=1 , where the tangents are perpendicular to the line 2y+x=0

Find the points on the curve y=x^(3)-2x^(2)-x, where the tangents are parallel to 3x-y+1=0

The point on the curve y=12 x-x^2 where the slope of the tangent is zero will be (0,\ 0) (b) (2,\ 16) (c) (3,\ 9) (d) (6,\ 36)

Find the points on the curve 4x^(2)+9y^(2)=1 where the tangents are perpendicular to the line 2y+x=0 .

RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. The point on the curve y^2=x where tangent makes 45o angle with x-axis...

    Text Solution

    |

  2. If the tangent to the curve x=a\ t^2,\ \ y=2a t is perpendicular to...

    Text Solution

    |

  3. The point on the curve y=x^2-3x+2 where tangent is perpendicular to...

    Text Solution

    |

  4. The point on the curve y=12 x-x^2 where the slope of the tangent is...

    Text Solution

    |

  5. The angle between the curves y^2=x and x^2=y at (1,\ 1) is tan^(-1)...

    Text Solution

    |

  6. The equation of the normal to the curve 3x^2-y^2=8 which is paralle...

    Text Solution

    |

  7. The equation of tangent at those points where the curve y=x^2-3x+2 ...

    Text Solution

    |

  8. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at...

    Text Solution

    |

  9. At what points the slope of the tangent to the curve x^2+y^2-2x-3=0...

    Text Solution

    |

  10. The angle of intersection of the curves x y=a^2 and x^2-y^2=2a^2 is...

    Text Solution

    |

  11. If the curve a y+x^2=7 and x^3=y cut orthogonally at (1,\ 1) , then a ...

    Text Solution

    |

  12. If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then ...

    Text Solution

    |

  13. The slope of the tangent to the curve x=3t^2+1 , y=t^3-1 at x=1 is ...

    Text Solution

    |

  14. The curves y=a e^x and y=b e^(-x) cut orthogonally, if a=b (b) a=-b (c...

    Text Solution

    |

  15. The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ s ...

    Text Solution

    |

  16. If the curves y=2\ e^x and y=a e^(-x) intersect orthogonally, then ...

    Text Solution

    |

  17. The point on the curve y=6x-x^2 at which the tangent to the curve i...

    Text Solution

    |

  18. The angle of intersection of the parabola y^2=4\ a x and x^2=4a y a...

    Text Solution

    |

  19. The angle of intersection of the curves y=2\ s in^2x and y=cos2\ x ...

    Text Solution

    |

  20. Any tangent to the curve y=2x^7+3x+5 (a) is parallel to x-axis ...

    Text Solution

    |