Home
Class 12
MATHS
The line (x)/(a)+(y)/(b)=1 touches the c...

The line `(x)/(a)+(y)/(b)=1` touches the curves `y= be^(-x//a)` at the point :

A

(a, b/a)

B

(-a, b/a)

C

(a, a/b)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

If (x)/(alpha)+(y)/(beta)=1 touches the circle x^(2)+y^(2)=a^(2) then point ((1)/(alpha), (1)/(beta)) lies on

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

The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the point

The curve ((x)/(a))^(n)+((y)/(b))^(n)=2 touches the straight line (x)/(a)+(y)/(b)=2 at the point (a, b) :

The curve x^(n)/a^(n) + y^(n)/b^(n) = 2 touches the line, x/a + y/b = 2 at the point,

The curve x^(2)/25 + y^(2)/16 = 2 touches the line x/5 + y/4 = 2 at the point

If the line 3 x +4y =sqrt7 touches the ellipse 3x^2 +4y^2 = 1, then the point of contact is

The line x+y=k touches the parabola y=x-x^(2) if k=

The area bounded by the curves y=xe^x , y=xe^(-x) and the line x=1 is :

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. If the line ax+by+c=0 is a normal to the curve xy=1, then :

    Text Solution

    |

  2. For the curve x = t^(2)-1, y = t^(2)-t the tangent line is perpendicul...

    Text Solution

    |

  3. The line (x)/(a)+(y)/(b)=1 touches the curves y= be^(-x//a) at the poi...

    Text Solution

    |

  4. If m is the slope of the tangent to the curve, e^(y) =1 +x^(2), then,

    Text Solution

    |

  5. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

    Text Solution

    |

  6. The point at which the tangent to the curve y = x^(2)-4x is parallel t...

    Text Solution

    |

  7. The curve x = y^(2) and xy = k cut at right angles if

    Text Solution

    |

  8. The angle between the tangents to the curves y = x^(2)-5x+6 at the poi...

    Text Solution

    |

  9. A particle is moving along the curve x = at^(2) + bt +c. If ac = b^(2)...

    Text Solution

    |

  10. The curve x^(n)/a^(n) + y^(n)/b^(n) = 2 touches the line, x/a + y/b = ...

    Text Solution

    |

  11. A particle moves in a straight line so that , s = sqrtt, then its acce...

    Text Solution

    |

  12. The distance travelled by a motor car in t seconds after the brakes ar...

    Text Solution

    |

  13. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  14. A stone is thrown vertically upwards from the top of a tower 64 metres...

    Text Solution

    |

  15. The tangent to a given curve y=f(x) is perpendicular to the x -axis if

    Text Solution

    |

  16. A sphere increases its volume at the rate of picc//s. The rate at whic...

    Text Solution

    |

  17. The angle between y^(2)=4x and x^(2)+y^(2)=12 at a point of their inte...

    Text Solution

    |

  18. The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^...

    Text Solution

    |

  19. If for the curve y=1+bx-x^(2) the tangent at (1, -2) is parallel to x-...

    Text Solution

    |

  20. The surface area of a ball is increasing at the rate of 2 pi sq. cm/s...

    Text Solution

    |