Home
Class 12
MATHS
If the curves y= a^(x) and y=e^(x) inte...

If the curves `y= a^(x) and y=e^(x)` intersect at and angle `alpha, " then " tan alpha` equals

A

`(a-b)/(1+ab)`

B

`(loga-logb)/(1+logalogb)`

C

`(a+b)/(1-ab)`

D

`(loga+logb)/(1-logalogb)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If the curve y=a^(x) and y=b^(x) intersect at angle alpha, then tan alpha=

The two curves y=3^x and y=5^x intersect at an angle

The acute angle of intersection of the curves x^(2)y=1 and y=x^(2) in the first quadrant is theta , then tan theta is equal to

If the angle between the curves x^(2)y=1 and y=e^(2(1-x)) at the point (1,1) is theta, then tan theta is equal to

If the curves (x^(2))/(alpha)+(y^(2))/(4)=1 and y^(2)=16x intersect at right angles,then a value of alpha is

The common chord of x^(2)+y^(2)-4x-4y=0 and x^(2)+y^2=4^(2) subtends and angle alpha at the origin, then alpha equals

At the point of intersection of the curves y^2=4ax" and "xy=c^2 , the tangents to the two curves make angles alpha" and "beta respectively with x-axis. Then tan alpha cot beta=

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

    Text Solution

    |

  2. The acute angle between the curve y^2=x and x^2=y at (1,1) is

    Text Solution

    |

  3. If the curves y= a^(x) and y=e^(x) intersect at and angle alpha, " th...

    Text Solution

    |

  4. The distance in seconds, described by a particle in t seconds is given...

    Text Solution

    |

  5. A particle is moving in a striaght line according as S=15t+6t^2-t^3, t...

    Text Solution

    |

  6. A particle moves in a straight line so that s=sqrt(t), then its accele...

    Text Solution

    |

  7. A particle moves a distance x in time t according to equation x^(2) = ...

    Text Solution

    |

  8. IF the radius of a circle increases from 3 cm to 3.2 cm, then the incr...

    Text Solution

    |

  9. The length of the side of a square sheet of metal is increasing at the...

    Text Solution

    |

  10. If a spherical balloon has a variable diameter (3x+9//2)., then the ra...

    Text Solution

    |

  11. If the radius of a circle be increasing at a uniform rate of 2cms^(-1)...

    Text Solution

    |

  12. Gas is being pumped into a a spherical balloon at the rate of 30 ft^(3...

    Text Solution

    |

  13. The edge of a cube is increasing at the rate of 5cm//sec. How fast is ...

    Text Solution

    |

  14. If the edge of a cube increases at the rate of 60cm per second, at wha...

    Text Solution

    |

  15. A spherical iron ball 10cm in radius is coated with a layer of ice of ...

    Text Solution

    |

  16. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  17. 2 m ऊंचाई का आदमी 6 m ऊंचे बिजली के खंभे से दूर 5 km/h की समान चाल स...

    Text Solution

    |

  18. A ladder of length 17m rests with one end agains a vertical wall and t...

    Text Solution

    |

  19. A kite is moving horizontally at a height of 151.5 m. If the speed of ...

    Text Solution

    |

  20. A ladder 20 ft long has one end on the ground and the other end in con...

    Text Solution

    |