Home
Class 12
MATHS
At what points the slope of the tange...

At what points the slope of the tangent to the curve `x^2+y^2-2x-3=0` is zero `(3,\ 0),\ (-1,\ 0)` (b) `(3,\ 0),\ (1,\ 2)` (c) `(-1,\ 0),\ (1,\ 2)` (d) `(1,\ 2),\ (1,\ -2)`

Text Solution

Verified by Experts

Given,`x^2+y^2−2x−3=0`
Differentiate w.r.t. x
`(dy/dx)​=(1−x)/y`​ ........(1)
If line is parallel to x-axis Angle with x-axis =θ=0
...
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

At what point, the slope of the tangent to the curvex^2 + y^2 - 2x - 3=0 is zero ? (i) (3,0),(-1,0) (ii) (3,0),(1,2) (iii) (-1,0),(1,2) (iv) (1.2),(1,-2)

The slope of the tangent to the curve x=3t^2+1 , y=t^3-1 at x=1 is 1//2 (b) 0 (c) -2 (d) oo

Equation of the tangent to the curve 2x^(2)+3y^(2)-5=0 at (1, 1) is

The slope of tangent to the curve x^(3//2)+y^(3//2)=3 at point (1,1) is :

The equation of tangent to the curve 2x^(2)+3y^(2)-5=0 at (1,1) is

Find the length of the tangent for the curve y=x^(3)+3x^(2)+4x-1 at point x=0.

The slope of the tangent to the curve (y-x^(5))^(2)=x(1+x^(2))^(2) at the point (1,3) is.

Equation of the tangent at (1,-1) to the curve x^(3)-xy^(2)-4x^(2)-xy+5x+3y+1=0 is

Equation of the tangent at (1,-1) to the curve x^(3)-xy^(2)-4x^(2)-xy+5x+3y+1=0 is

The slope of the normal to the curve y=2x^2+3 sin x at x" "=" "0 is (A) 3 (B) 1/3 (C)-3 (D) -1/3

RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. The equation of the normal to the curve 3x^2-y^2=8 which is paralle...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The point on the curve 9y^2=x^3 , where the normal to the curve mak...

    Text Solution

    |

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

    Text Solution

    |

  18. The line y=m x+1 is a tangent to the curve y^2=4x , if the value of...

    Text Solution

    |

  19. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

    Text Solution

    |

  20. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

    Text Solution

    |