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 :

A

`a gt 0, b gt 0`

B

`a gt 0, b lt 0`

C

`a lt 0, b lt 0`

D

a = 0 or b = 0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

Area of the triangle formed by the normal to the curve x = e^(sin y) at (1,0) with the coordinate axes is

Subnormal to the curve xy = c^(2)/2 at (c/2,c) is

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

The normal to the curve x^(2) = 4y passing (1,2) is

Find the slopes of the tangent and normal to the curve x^(3)+3xy+y^(3)=2 at (1, 1).

The area of the triangle formed by the co-ordinate axes and a tangent to the curve xy=a^(2) at the point (x_(1), y_(1)) on it is :

Find the equations of the tangent and normal to the given curve at the given points. (iv) y = x^(2) at (0,0).

If the line px +qy =0 coincides with one of the lines given by ax^(2)+2hxty+by^(2)=0 then

The condition for the line y =mx+c to be normal to the parabola y^(2)=4ax is

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The curve y = ax^(3) +bx^(2) +cx +5 touches the x-axis at A(-2,0) and ...

    Text Solution

    |

  2. The abscissa of the point on the curve xy = (c+x)^(2), the normal at w...

    Text Solution

    |

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

    Text Solution

    |

  4. The radius of a cylinder is increasing at the rate of 3 m/sec and its...

    Text Solution

    |

  5. A particle moves so that the space described in time 't' is square roo...

    Text Solution

    |

  6. On uniform heating, the side of a square sheet of metal is increasing ...

    Text Solution

    |

  7. The radius of a circular plate is increasing at the rate of 0.01cm/sec...

    Text Solution

    |

  8. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  9. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |

  10. The slope of the normal to the curve y = 2x^(3)+3 sin x at x = 0 is

    Text Solution

    |

  11. The line y = x + 1 is a tangent to the curve y^(2) = 4x at the poin

    Text Solution

    |

  12. The maximum value of [x(x-1)+1]^(1/3) is 0 le x le 1 is

    Text Solution

    |

  13. The points on the curve 9y^(2) = x^(3) where the normal to the curve m...

    Text Solution

    |

  14. The normal at the point (1,1) on the curve 2y = 3-x^(2) is

    Text Solution

    |

  15. The line y = mx+1 is a tangent to the curve y^(2) = 4x if the value of...

    Text Solution

    |

  16. The abscissa of the point on the curve 3y=6x-5x^(3), the normal at whi...

    Text Solution

    |

  17. The two curves x^(3) - 3xy^(2) +2 = 0 and 3x^(2)y-y^(3) = 2

    Text Solution

    |

  18. The tangent to the curve given by : x=e^(t)cos t, y=e^(t) sin t at ...

    Text Solution

    |

  19. The equation of the normal to the curve y=sinx at (0, 0) is :

    Text Solution

    |

  20. The point on the curve y^(2)=x, where the tangent makes an angle of (p...

    Text Solution

    |