Home
Class 12
MATHS
If m is the slope of a tangent to the cu...

If `m` is the slope of a tangent to the curve `e^y=1+x^2,` then (a)`|m|>1` (b) `m >1` (c)`m >=-1` (d) `|m|lt=1`

A

`|m| gt 1 `

B

`m lt 1 `

C

`|m| lt 1 `

D

`|m| le 1 `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option is correct ))|5 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

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

The line y=m x+1 is a tangent to the curve y^2=4x , if the value of m is (a) 1 (b) 2 (c) 3 (d) 1/2

The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is(A) 1 (B) 2(C) 3(D) 1/2.

The line y = m x + 1 is a tangent to the curve y^2=4x if the value of m is (A) 1 (B) 2 (C) 3 (D) 1/2

The line y=mx+1 is a tangent to the parabola y^2 = 4x if (A) m=1 (B) m=2 (C) m=4 (D) m=3

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of m .

If y+3=m_1(x+2) and y+3=m_2(x+2) are two tangents to the parabola y_2=8x , then (a) m_1+m_2=0 (b) m_1+m_2=-1 (c) m_1+m_2=1 (d) none of these

If y=m_1x+c and y=m_2x+c are two tangents to the parabola y^2+4a(x+a)=0 , then (a) m_1+m_2=0 (b) 1+m_1+m_2=0 (c) m_1m_2-1=0 (d) 1+m_1m_2=0

If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the angle between the lines x y=0 , then m is (a) 1 (b) 2 (c) -1/2 (d) -1

If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the angle between the lines x y=0 , then m is (a) 1 (b) 2 (c) -1/2 (d) -1

AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

    Text Solution

    |

  2. The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at...

    Text Solution

    |

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

    Text Solution

    |

  4. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

    Text Solution

    |

  5. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

    Text Solution

    |

  6. The sum of the intercepts made on the axes of coordinates by any tange...

    Text Solution

    |

  7. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at ...

    Text Solution

    |

  8. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is ver...

    Text Solution

    |

  9. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

    Text Solution

    |

  10. If a function f(x) increases in the interval (a, b). then the function...

    Text Solution

    |

  11. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

    Text Solution

    |

  12. If f(x)=x.e^(x(1-x), then f(x) is

    Text Solution

    |

  13. Which of the following is correct ?

    Text Solution

    |

  14. Find the value of a, if the equation x-sinx=a has a unique root ...

    Text Solution

    |

  15. Number of real roots of the equation e^(x-1)-x=0 is

    Text Solution

    |

  16. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

    Text Solution

    |

  17. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

    Text Solution

    |

  18. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a...

    Text Solution

    |

  19. The maximum value of ((1)/(x))^(2x^(2)) is

    Text Solution

    |

  20. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...

    Text Solution

    |