Home
Class 12
MATHS
Prove that the curvesx^(2)-y^(2)=16 and ...

Prove that the curves`x^(2)-y^(2)=16 and xy = 15` intersect each other at `90^(@)` angle.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6e|16 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6f|19 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6c|19 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Prove that the curve x^(2)+y^(2)=1 and y^(2)=4(x-1) touches each other.

Prove that x^(2)-y^(2)=16 and xy=25 cut each other at right angles.

Prove that the curves x=y^(2) and xy=k intersect at right angles if 8k^(2)=1

Prove that if the curves y=x^(3) and xy=K intersect orthogonally,then 3K=1

Prove that the curve y=x^(2) and xy=k intersect orthogonally if 8k^(2)=1

Prove that the curve x^(2)+y^(2)+x+2y=0 and xy+2x-y=0 intersect orthogonally at the origin.

Prove that the curve 2x^(2)+3y^(2)=1 and x^(2)-y^(2)=(1)/(12) intersect orthogonally.

Show that the curves xy=a^(2) and x^(2)+y^(2)=2a^(2) touch each other

Show that the curves 2x=y^(2) and 2xy=k cut each other at right angles if k^(2)=8

Prove that the curves y=x^(3) and xy-k cut each other orthogonally, if 3k= 1.

NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6d
  1. Find the equation of tangent of the curve y^(2) = 4x+5 which is paral...

    Text Solution

    |

  2. Find the equation of tangent of the curve 9x^(2)+16y^(2) = 144 at thos...

    Text Solution

    |

  3. Find the co-ordinates of that point on the curve x^(3)+y^(3)= a^(3) a...

    Text Solution

    |

  4. Find the co-ordinates of that point on the curvey^(2)=x^(2)(1-x) at wh...

    Text Solution

    |

  5. Find the co-ordinates of that point on the curve x^(2)/a^(2)+y^(2)/b^(...

    Text Solution

    |

  6. Prove that the equation of tangent of the ellipse x^(2)/a^(2)+y^(2)/b^...

    Text Solution

    |

  7. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...

    Text Solution

    |

  8. Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

    Text Solution

    |

  9. Find the point on the curve y^(2) = x at which the tangent drawn makes...

    Text Solution

    |

  10. Find the coordinates of the points on the curve y=x^2+3x+4, the tangen...

    Text Solution

    |

  11. The tangent drawn at any point of the curve sqrtx+sqrty = sqrta meets...

    Text Solution

    |

  12. If p and q are the intercept on the axis cut by the tangent of sqrt((x...

    Text Solution

    |

  13. Find the angle of intersection of the curves x y=a^2a n dx^2+y^2=2a^2

    Text Solution

    |

  14. Prove that the curvesx^(2)-y^(2)=16 and xy = 15 intersect each other a...

    Text Solution

    |

  15. If two curves ax^2 +by^2=1 and a'x^2+b'y^2=1 intersect orthogonally,th...

    Text Solution

    |

  16. Prove that the curves "x"="y"^2 and "x y"="k" intersect at right an...

    Text Solution

    |

  17. Find the equation of the tangent and the normal at the point 't, on th...

    Text Solution

    |

  18. Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents a...

    Text Solution

    |

  19. Prove that the tangents drawn on the parabola y^(2)=4axat points x = a...

    Text Solution

    |

  20. Prove that the curve y^2=4x and x^2 +y^2 - 6x +1=0 touches each other ...

    Text Solution

    |