Home
Class 12
MATHS
If the tangent to the curve x y+a x+b y=...

If the tangent to the curve `x y+a x+b y=0` at `(1,1)` is inclined at an angle `tan^(-1)2` with x-axis, then find `a and b ?`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Find the length of tangent to the curve y=4x^3-2x^5 at (-1,1)

Find the equation of the tangent to the parabola y^(2)=8x which is inclined at an angl 45^(@) with the x-axis.

Find the equation of the tangent to the parabola y^(2)=8x which is inclined at an angl 45^(@) with the x-axis.

The equations of the tangents to the circle x^2 + y^2 = 25 which are inclined at an angle of 30^@ to the x- axis are

If the tangent to the curve y=x^(3)+ax+b at (1,-6) is paralle to the line x-y+5=0 , find the a and b.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^0 with the x-axis.

If the tangent t the curv y=f(x )"at" P(x_(1),y_(1)) is paralle to the y-axis, then the of the normal to the curve at P is -

If the tangent to the contentious curve y=f(x) "at" p(a,b) is parallel to the x-axis, then the equation of the tangent at p is

Points on the curve f(x)=(x)/(1-x^(2)) , where the tangent is inclined at an angle of (pi)/(4) to x-axis, are

The equation of a straight line passing through the point (2, 3) and inclined at an angle of tan^(-1)(1/2) with the line y+2x=5 , so the equation of the line is/ are: (a) y=3 (b) x=2 3x+4y-18=0 (d) 4x+3y-17=0

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If a > b >0, with the aid of Lagranges mean value theorem, prov...

    Text Solution

    |

  2. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  3. If the tangent to the curve x y+a x+b y=0 at (1,1) is inclined at an a...

    Text Solution

    |

  4. Find the condition that the line A x+B y=1 may be normal to the curve ...

    Text Solution

    |

  5. Prove that the curve (x/a)^n+(y/b)^n=2 touches the straught line x/a+y...

    Text Solution

    |

  6. If the equation of the tangent to the curve y^2=a x^3+b at point (2,3)...

    Text Solution

    |

  7. The ength of substangent to the curve y=e^(x//a) is :

    Text Solution

    |

  8. In the curve x^a y^b=K^(a+b) , prove that the potion of the tangent in...

    Text Solution

    |

  9. Does there exists line/lines which is/are tangent to the curve y=sinx ...

    Text Solution

    |

  10. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

    Text Solution

    |

  11. The length of normal to the curve x=a(theta+sintheta),y=a(1-costheta) ...

    Text Solution

    |

  12. Determine p such that the length of the sub-tangent and sub-normal is ...

    Text Solution

    |

  13. If f(x)a n dg(x) are continuous functions in [a , b] and are different...

    Text Solution

    |

  14. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  15. On the curve x^3=12y the abscissa changes at a faster rate than the or...

    Text Solution

    |

  16. The length x of a rectangle is decreasing at the rate of 5cm/s and the...

    Text Solution

    |

  17. Find the minimum value of (x1-x2)^2+((x1^2)/20-sqrt((17-x2)(x2-13)))^...

    Text Solution

    |

  18. Displacement s of a particle at time t is expressed as s=1/2t^3-6t. Fi...

    Text Solution

    |

  19. Find the distance of the point on y=x^4+3x^2+2x which is nearest to th...

    Text Solution

    |

  20. The graph y=2x^3-4x+2a n dy=x^3+2x-1 intersect in exactly 3 distinct p...

    Text Solution

    |