Home
Class 12
MATHS
Write the equation of the tangent to t...

Write the equation of the tangent to the curve `y=x^2-x+2` at the point where it crosses the y-axis.

Text Solution

Verified by Experts

`y=x^2−x+2` curve which crosses y-axis that means x=0
Now, `y=x^2−x+2 `
`(dy/dx)​=2x−1`
`[(dy/dx)​]_(x=0)​=−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 equation of the tangent to the curve y=be^(-x/a) at the point where it crosses the y-axis is a)(x)/(a)-(y)/(b)=1( b) ax+by=1 c)ax -by=1( d) (x)/(a)+(y)/(b)=1

The equation of tangent to the curve y=b^(-x//a) at the point where it crosses Y-axis is

Find the slope of the tangents to the curve y=x^2(x+3) at the points where it crosses the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^(3)-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangents to the curve y=(x-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x-7)/((x-2(x-3)) at the point where it cuts the x-axis.

RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. Write the equation of the normal to the curve y=x+sinxcosx at x=pi/...

    Text Solution

    |

  2. Find the coordinates of the point on the curve y^2=3-4x where tange...

    Text Solution

    |

  3. Write the equation of the tangent to the curve y=x^2-x+2 at the poin...

    Text Solution

    |

  4. Write the angle between the curves y^2=4x and x^2=2y-3 at the point...

    Text Solution

    |

  5. Write the angle between the curves y=e^(-x) and y=e^x at their poin...

    Text Solution

    |

  6. Write the slope of the normal to the curve y=1/x at the point (3,1/...

    Text Solution

    |

  7. Write the coordinates of the point at which the tangent to the curv...

    Text Solution

    |

  8. Write the equation of the normal to the curve y=cosx at (0,\ 1) .

    Text Solution

    |

  9. The equation to the normal to the curve y=sinx at (0,\ 0) is x=0 (b...

    Text Solution

    |

  10. Find the equation of the tangent to the curve y=x-sinxcosx at x=pi/2

    Text Solution

    |

  11. The equation of the normal to the curve y=x(2-x) at the point (2,\ ...

    Text Solution

    |

  12. The point on the curve y^2=x where tangent makes 45o angle with x-axis...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |