Home
Class 12
MATHS
The acute angle between the curves y= |x...

The acute angle between the curves `y= |x^2 -1| `and `y=|x^2- 3|` at their points of intersection when when x> 0, is

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

Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) at their points of intersection is (a) (5sqrt(3))/2 (b) (3sqrt(5))/2 (5sqrt(3))/4 (d) (3sqrt(5))/4

if theta denotes the acute angle between the curves, y = 10-x^2" and " y=2+x^2 at a point of their intersection, then abstantheta is equal to

The angle between the curves y= sin x and y= cos x is-

The angle between the tangents to the curves y=sin x and y = cos x at their point of intersection is

Find the angle between the curves 2y^2=x^3 and y^2=32 x .

The angle between the curves y^2 =4x+4 and y^2 =36(9−x) is?

Find the acute angle between the lines 7x-4y =0 and 3x-11y +2=0.

The acute angle between the two lines' 7x - 4y = 0 and 3x -11y = 2 will be

Find the angle between the curves x^2-(y^2)/3=a^2a n dC_2: x y^3=c

The angle between the tangents to the curves y=x^(2)andx=y^(2) at (1,1) is -

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the cosine of the angle of intersection of curves f(x)=2^x(log)e ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Find the condition that the line A x+B y=1 may be normal to the curve ...

    Text Solution

    |

  20. Prove that the curve (x/a)^n+(y/b)^n=2 touches the straught line x/a+y...

    Text Solution

    |