Home
Class 12
MATHS
The equation of the tangent to the curve...

The equation of the tangent to the curve `y=b e^(-x//a)` at the point where it crosses the y-axis is `(a)x/a-y/b=1` (b) `a x+b y=1` `(c)a x-b y=1` (d) `x/a+y/b=1`

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

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

The equation of the tangent to the curve (1+ x^(2) )y = 2- x where it crosses the x -axis is-

Find the equation of the tangent to the curve (1+x^2)y=2-x , where it crosses the x-axis.

Show that the line (x)/(a)+(y)/(b)=1 touches the curve y= be ^(-(x)/(a)) at the point where it crosses the y-axis.

The slope of the tangent to the curve y=sqrt(4-x^2) at the point where the ordinate and the abscissa are equal is (a) -1 (b) 1 (c) 0 (d) none of these

If the equation of the tangent to the curve y^2=a x^3+b at point (2,3) is y=4x-5 , then find the values of a and b .

A circle with center (a , b) passes through the origin. The equation of the tangent to the circle at the origin is (a) a x-b y=0 (b) a x+b y=0 (c) b x-a y=0 (d) b x+a y=0

Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (x= 1,y= 1) .

The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

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.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

    Text Solution

    |

  2. At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...

    Text Solution

    |

  3. The equation of the tangent to the curve y=b e^(-x//a) at the point wh...

    Text Solution

    |

  4. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

    Text Solution

    |

  5. If a variable tangent to the curve x^2y=c^3 makes intercepts a , b o...

    Text Solution

    |

  6. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

    Text Solution

    |

  7. If H is the number of horizontal tangents and V is the number of verti...

    Text Solution

    |

  8. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  9. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) Then (a) touch each oth...

    Text Solution

    |

  10. If the length of sub-normal is equal to the length of sub-tangent at ...

    Text Solution

    |

  11. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

    Text Solution

    |

  12. The x-intercept of the tangent at any arbitrary point of the curve a/(...

    Text Solution

    |

  13. A curve is represented by the equations x=sec^2ta n dy=cott , where t ...

    Text Solution

    |

  14. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

    Text Solution

    |

  15. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

    Text Solution

    |

  16. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

    Text Solution

    |

  17. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

    Text Solution

    |

  18. Consider a curve C : y=cos^(-1)(2x-1) and a straight line L :2p x-4y+2...

    Text Solution

    |

  19. Statement 1: The tangent at x=1 to the curve y=x^3-x^2-x+2 again meets...

    Text Solution

    |

  20. An aeroplane is flying horizontally at a height of 2/3k m with a veloc...

    Text Solution

    |