Home
Class 12
MATHS
The angle at which the curve y=ke^(kx) i...

The angle at which the curve `y=ke^(kx)` intersects Y-axis is

A

`tan^(-1) (k^(2))`

B

`cot^(-1) (k^(2))`

C

`sin^(-1) ((1)/(sqrt(1 + k^(4))))`

D

`sec^(-1) sqrt(1 + k^(4))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

Find the angle at which the curve y=Ke^(Kx) intersects the y-axis.

The angle at which the curve y = (a+1)e^(ax) intersects y-axis is

Find the angle at which the curve y=2x-x^(2) cut the x -axis

The angle between the curve 2y=e^(-x/2) and the y - axis is

The angle at which the curves y=sinx " and " y= cosx intersect in [0,pi], is

Find the angles at which the following lines intersect: (a) the straight line y = 4 - x and the parabola y = 4-(x^(2))/(2) (b) the sinusoid y = sin x and the cosine curve y = cos x

Write the angle between the curves y=e^(-x) and y=e^x at their point of intersection.

The ratio of the length of tangent to the length of normal to the curve y=3e^(5x) at the intersection point of curve and y -axis is

The ratio of the length of tangent to the length of normal to the curve y=3e^(5x) at the intersection point of curve and y-axis is

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. If OT is the perpendicular drawn from the origin to the tangent at any...

    Text Solution

    |

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

    Text Solution

    |

  3. The angle at which the curve y=ke^(kx) intersects Y-axis is

    Text Solution

    |

  4. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

    Text Solution

    |

  5. If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x inters...

    Text Solution

    |

  6. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

    Text Solution

    |

  7. Show the condition that the curves a x^2+b y^2=1 and a^(prime)x^2+b^(p...

    Text Solution

    |

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

    Text Solution

    |

  9. The shortest distance between the lines y-x=1 and the curve x=y^2 is

    Text Solution

    |

  10. If curve x^2=9a(9-y) and x^2=a(y+1) intersect orthogonally then value ...

    Text Solution

    |

  11. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  12. If f(x) = cos x, then

    Text Solution

    |

  13. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

    Text Solution

    |

  14. Show that the equation x^5-3x-1=0\ has a unique root in [1,2] .

    Text Solution

    |

  15. Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x...

    Text Solution

    |

  16. If f(x)=xsqrt(ax-x^2) for a>0, then f(x) is

    Text Solution

    |

  17. The function f(x)=[x(x-2)]^2 is increasing in the set

    Text Solution

    |

  18. The function f(x)= tan x - x

    Text Solution

    |

  19. The function f(x)=x^(1//x) is increasing in the interval

    Text Solution

    |

  20. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

    Text Solution

    |