Home
Class 12
MATHS
Find the angle of intersection between t...

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

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

The angle of intersection between the curves x^(2) = 4(y +1) and x^(2) =-4 (y+1) is

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

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

The angle of intersection between the curves y=[|sinx|+|cosx|] and x^(2)+y^(2)=10 , where [x] denotes the greatest integer ltx , is-

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

The angle of intersection between the curves y=[|sinx|+|cosx|]andx^2+y^2=10 , where [x] denotes the greatest integer lex , is

Area lying between the curves y^(2) = 4x and y = 2x is

Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+31=0

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?

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Find the lengths of tangent, subtangent, normal and subnormal to y^2=4...

    Text Solution

    |

  2. If the length of subnormal is equal to length of subtangent at a point...

    Text Solution

    |

  3. Find the angle of intersection between the following curves, y^2=4x an...

    Text Solution

    |

  4. Show that x=y^2 and xy = k cut orthogonally if 8k^2=1

    Text Solution

    |

  5. Show that curves ax^2+by^2=1 and cx^2+dy^2=1 intersect orthogonally if...

    Text Solution

    |

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

    Text Solution

    |

  7. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

    Text Solution

    |

  8. Verify Rolle's theorem for f(x)=x^3(x-1)^2 in the interval 0lexle1

    Text Solution

    |

  9. If 2a+3b+6c=0 then the equation ax^2+bx+c=0 has in the interval (0,1)

    Text Solution

    |

  10. The value of 'c' of Rolls's throrem is applicable to the function f(x)...

    Text Solution

    |

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

    Text Solution

    |

  12. If A(x1,y1) an B(x2,y2) be two points on the curve y=ax^2+bx+c then La...

    Text Solution

    |

  13. 0 < a < b < ( pi/2​) and f(a,b)= (tanb−tana)/b-a

    Text Solution

    |

  14. Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...

    Text Solution

    |

  15. If y=1/(1+x^(n-m)+x^(p-m))+1/(1+x^(m-n)+x^(p-n))+1/(1+x^(m-p)+x^(n-p))...

    Text Solution

    |

  16. If y=|cosx|+|sinx|,then(dy/dx)"at"x=(2pi)/3 is

    Text Solution

    |

  17. The differential coefficient of f(logex) with respect to x, where f(x)...

    Text Solution

    |

  18. If f(x) = cosx. cos2x. Cos4x. Cos8x.cos16x, then f '(pi/4) is :

    Text Solution

    |

  19. If f(x)=log|2x|,x!=0 then f'(x) is equal to

    Text Solution

    |

  20. The derivative of an odd function is always

    Text Solution

    |