Home
Class 12
MATHS
If the line ax+by+c=0 is a normal to the...

If the line `ax+by+c=0` is a normal to the curve `xy=1` then

Promotional Banner

Topper's Solved these Questions

  • HIGHER SECONDARY QUESTION 2019

    UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

  • MODEL QUESTION PAPER SET 10

    UNITED BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

If the line ax+by +c =0 is a normal to the curve xy=1 at the point (1, 1), then -

If the line a x+b y+c=0 is a normal to the curve x y=1, then (a) a >0,b >0 (b) a >0,b >0 (d) a 0

If the line ax+by+c=0 is a normal to the curve xy=1 at the point (1,1), then prove that a and b are of opposite signs.

If line ax+by+c=0 is normal to the curve xy+5=0 then a and b are of :

If the line ax+by+c=0,abne0 , is a tangent to the curve xy=1-2x , then

If the straight line (a-1)x-by+4=0 is normal to the hyperbola xy=1 then which of the followings does not hold?

If the straight line (a-1)x-by+4=0 is normal to the hyperbola xy=1 then which of the following does not hold ?

Find the condition that the line A x+B y=1 may be normal to the curve a^(n-1)y=x^ndot

If the straight line lx + my=1 is a normal to the parabola y^(2)=4ax , then-

The normal to the curve x^2+2xy-3y^2=0 at (1,1) :

UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. Solve(d^2y)/(dt^2) = tan y sec ^2 y, given dy/dt = 0 when y = 0

    Text Solution

    |

  2. Prove that cos (sinx) > sin (cos x) for all x in 0 le x le pi//2

    Text Solution

    |

  3. If the line ax+by+c=0 is a normal to the curve xy=1 then

    Text Solution

    |

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

    Text Solution

    |

  5. Find the point on the curve 4x^2 + a2y^2 = 4a^2, 4 < a^2 < 8 that is f...

    Text Solution

    |

  6. The area bounded by the parabola y = x - x^2 and the line y = mx equal...

    Text Solution

    |

  7. Prove that f(x)= sin x+sqrt 3 cosx has maximum value at x=pi/6

    Text Solution

    |

  8. The length of the hypotenuse of a right angled triangle is 3 ft. Find ...

    Text Solution

    |

  9. The angle between the tangents to the curves y=sin x and y = cos x at ...

    Text Solution

    |

  10. Show that f(x) = (x-2)e^x + x + 2 is positive for all positive values ...

    Text Solution

    |

  11. Vectors vecm, vecn, vecr are such that vecm + vecn + vecr = 0, prove t...

    Text Solution

    |

  12. If vecp xx vecq = vecm xx vec n and vecp xx vec m = vecq xx vecn, sho...

    Text Solution

    |

  13. If veca xx vecb + vecb xx vecc + vecc xx veca = 0. Show that the vecto...

    Text Solution

    |

  14. The vector vecr is collinear with vector vecn = 2hati + hatj + 3hatk ...

    Text Solution

    |

  15. If veca,vecb and vecc are three mutually perpendicular vectors of equa...

    Text Solution

    |

  16. Find the equation of the plane passing through the point(1,2,1) and pe...

    Text Solution

    |

  17. Find the vector equation of the following plane in scalar product from...

    Text Solution

    |

  18. two numbers are selected at random from 1,2,3,….., 100 and are multipl...

    Text Solution

    |

  19. In a class, 5% of the boys and 10% of the girls have an IQ more than 1...

    Text Solution

    |

  20. If P(A//C) geP(B//C) P(A//barC) geP(B//barC), then prove that, P(A)geP...

    Text Solution

    |