Home
Class 12
MATHS
Find the cosine of the angle of intersec...

Find the cosine of the angle of intersection of curves `f(x)=2^x(log)_e xa n dg(x)=x^(2x)-1.`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Find the angle of intersection of the curves x y=a^2a n dx^2-y^2=2a^2

Find the angle of intersection of y=a^xa n dy=b^x

find the angle of intersection of the curve xy=6 and x^2y=12

Find the angle of intersection of the curve x^2+y^2-4x-1=0 and x^2+y^2-2y-9=0 .

Compute the area of the region bounded by the curves y=e x(log)_e xa n dy=(logx)/(e x)

Find the inverse of the following function: f(x)=log_e(x^2+3x+1), x in [1,3]

Find the angle of intersection between the following curves, y^2=4x and x^2=4y

Which of the following pairs of expression are defined for the same set of values of x ? f_1(x)=2(log)_2xa n df_2(x)=(log)_(10)x^2 f_1(x)=(log)x_xx^2a n df_2(x)=2 f_1(x)=(log)_(10)(x-2)+(log)_(10)(x-3)a n df_(2(x))=(log)_(10)(x-2)(x-3)dot

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

Find the inverse of the following function: f(x)=log_e(x+sqrt(x^2+1))

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the angle of intersection of y=a^xa n dy=b^x

    Text Solution

    |

  2. If the sub-normal at any point on y=a^(1-n)x^n is of constant length,...

    Text Solution

    |

  3. Find the cosine of the angle of intersection of curves f(x)=2^x(log)e ...

    Text Solution

    |

  4. Find the value of a if the curves (x^2)/(a^2)+(y^2)/4=1a n dy^3=16 x c...

    Text Solution

    |

  5. The acute angle between the curves y= |x^2 -1| and y=|x^2- 3| at their...

    Text Solution

    |

  6. In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...

    Text Solution

    |

  7. Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point ...

    Text Solution

    |

  8. For the curve y=a1n(x^2-a^2) , show that the sum of length of tangent ...

    Text Solution

    |

  9. For the curve y=f(x) prove that (length of normal)^2/(length of tange...

    Text Solution

    |

  10. Find the condition if the equation 3x^2+4a x+b=0 has at least one root...

    Text Solution

    |

  11. Find 'c' of the Lagrange's mean value theorem for the function f(x)=3x...

    Text Solution

    |

  12. Let 0ltaltbltpi/2. \ If \ f(x)=|[tanx,tana,tanb],[sinx,sina,sinb],[cos...

    Text Solution

    |

  13. Let f(x)a n dg(x) be differentiable for 0lt=xlt=2 such that f(0)=2,g(0...

    Text Solution

    |

  14. Prove that if 2a0^2lt15a all roots of x^5-a0x^4+3ax^3+bx^2+cx+d=0 can...

    Text Solution

    |

  15. If f(x) is continuous in [a , b] and differentiable in (a,b), then pro...

    Text Solution

    |

  16. Prove that |tan^(-1)x-tan^(-1)y|lt=|x-y|AAx , y in Rdot

    Text Solution

    |

  17. Using Lagranges mean value theorem, prove that (b-a)/bltlog(b/a)lt(b-a...

    Text Solution

    |

  18. If a > b >0, with the aid of Lagranges mean value theorem, prov...

    Text Solution

    |

  19. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  20. If the tangent to the curve x y+a x+b y=0 at (1,1) is inclined at an a...

    Text Solution

    |