Home
Class 14
MATHS
A curve y = me^(mx) where m gt 0 inter...

A curve `y = me^(mx)` where `m gt 0` intersects y-axis ai a point P,
How much angles does the tangent at P make with y -axis ?

A

A. `tan^(-1)m^(2)`

B

B. `cot^(-1)(1+m^(2))`

C

C. `sin^(-1)(1/sqrt(1 + m^(4)))`

D

D. `sec^(-1)sqrt(1 + m^(4))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |85 Videos
  • 3-D GEOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|108 Videos
  • AREA BOUNDED BY CURVES

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|39 Videos

Similar Questions

Explore conceptually related problems

Let a line y = mx ( m gt 0) intersect the parabola, y^2 = 4x at a point P, other than the origin. Let the tangent to it at P meet the x-axis at the point Q. If area (Delta OPQ)=8 sq. units, then m is equal to _______ .

At what point of the curve y=x^2 does the tangent make an angle of 45o with the x-axis?

Find the point on the curve y^2=4x the tangent at which makes an angle 60^@ with X-axis.

Let a line y=mx(m>0 ) intersect the parabola y^(2) =x at a point "P" ,"other than the origin .Let the tangent to it at "P" meet the "x" -axis at the point "Q".If area of Delta OPQ=4 sq.units then "m" is equal to

The point on the curve y^(2)=x where tangent makes 45^(@) angle with x-axis, is

The point on the curve y^(2)=x the tangent at which makes an angle 45^(@) with X-axis is

The point on the curve y^(2)=8x the tangent at which makes an angle 30^(@) with X -axis

The points on the curve y=sin x ,where the tangent is parallel to the x axis is

PUNEET DOGRA-APPLICATION OF DERIVATIVES-PREV YEAR QUESTIONS
  1. For x gt 0, what is the minimum value of x+(x+2)/(2x)?

    Text Solution

    |

  2. A curve y = me^(mx) where m gt 0 intersects y-axis ai a point P, W...

    Text Solution

    |

  3. A curve y = me^(mx) where m gt 0 intersects y-axis ai a point P, H...

    Text Solution

    |

  4. Find the equation of tangent of the curve 6y=9-3x^(2) at point (1,1).

    Text Solution

    |

  5. If x^(2)-6x-27gt0, then which one of the following is correct ?

    Text Solution

    |

  6. In which one of the following intervals is lite function f(x) = x^(2) ...

    Text Solution

    |

  7. In which one of the following intervals is lite function f(x) = x^(2) ...

    Text Solution

    |

  8. What is the minimum value of a^(2)x + b^(2)y, if xy = c^(2)

    Text Solution

    |

  9. If x^(2)+y^(2)=r^(2), then x is equal to

    Text Solution

    |

  10. A solid cylinder has total surface area of 462 sq. cm. Its curved surf...

    Text Solution

    |

  11. What is the minimum value off |x(x-1)+1|^(1//3), where 0 le x le 1?

    Text Solution

    |

  12. A flower in the form of a sector has been fenced by a wire of 40 m len...

    Text Solution

    |

  13. In the interval (-1, 1), the function f(x) = x^(2) - x + 4 is :

    Text Solution

    |

  14. The function f(x) = sin x + cos x will be

    Text Solution

    |

  15. If sin theta - cos theta = 0 then find the value of cot theta

    Text Solution

    |

  16. What is the maximum value of 16 sin theta -12 sin^(2)theta ?

    Text Solution

    |

  17. Three sides of a trapezium are each equal to 6 cm. Let a in (0,pi/2)...

    Text Solution

    |

  18. Three sides of a trapezium are each equal to 6 cm. Let a in (0,pi/2)...

    Text Solution

    |

  19. The length of the parallel sides of a trapezium are 51 cm and 21 cm , ...

    Text Solution

    |

  20. Which one of the following is the second degree polynomial function f(...

    Text Solution

    |