Home
Class 12
MATHS
If the line a x+b y+c=0 is a normal to t...

If the line `a x+b y+c=0` is a normal to the curve `x y=1,` then `a >0,b >0` `a >0,b<0` `a<<0,b>>0` (d) `a<0,b<0` none of these

A

`a gt 0, b gt 0`

B

`a gt 0, b lt 0`

C

`a lt 0, b gt0`

D

`a lt 0, b lt 0`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|36 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the curve x^2/a^2-y^2/b^2=1 at (x_0,y_0)

The equation to the normal to the curve y=sinx at (0,\ 0) is (a) x=0 (b) y=0 (c) x+y=0 (d) x-y=0

The lines parallel to the normal to the curve x y=1 is/are 3x+4y+5=0 (b) 3x-4y+5=0 4x+3y+5=0 (d) 3y-4x+5=0

The condition on a and b , such that the portion of the line a x+b y-1=0 intercepted between the lines a x+y=0 and x+b y=0 subtends a right angle at the origin, is a=b (b) a+b=0 a=2b (d) 2a=b

The lines parallel to the normal to the curve x y=1 is/are (a) 3x+4y+5=0 (b) 3x-4y+5=0 (c) 4x+3y+5=0 (d) 3y-4x+5=0

If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then a ,b ,c are in (a). A.P. (b). G.P. (c). H.P. (d). none of these

If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurrent, then a , b , c are in a. H.P. b. G.P. c. A.P. d. none of these

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these

If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then a ,b ,c are a. A.P. b. G.P. c. H.P. d. none of these

The straight line a x+b y+c=0 , where a b c!=0, will pass through the first quadrant if (a) a c >0,b c >0 (b) ac >0 or b c 0 or a c >0 (d) a c<0 or b c<0

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
  1. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is ver...

    Text Solution

    |

  2. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

    Text Solution

    |

  3. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  4. If the function g:(-oo,oo)rarr(-(pi)/(2),(pi)/(2)) is given by g(u)=...

    Text Solution

    |

  5. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

    Text Solution

    |

  6. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  7. If f(x)=xe^(x(1-x)), then f'(x) is

    Text Solution

    |

  8. The function f(x)=sin^4x+cos^4x increasing if 0<x<pi/8 (b) pi/4<x<(3p...

    Text Solution

    |

  9. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

    Text Solution

    |

  10. The function f(x)=(log (pi+x))/(log (e+x))," is "

    Text Solution

    |

  11. Let fa n dg be increasing and decreasing functions, respectively, from...

    Text Solution

    |

  12. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^(t+(1)...

    Text Solution

    |

  13. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

    Text Solution

    |

  14. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  15. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

    Text Solution

    |

  16. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  17. The total number of local maxima and local minima of the function f...

    Text Solution

    |

  18. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

    Text Solution

    |

  19. The maximum value of (cos alpha(1))(cos alpha(2))... ( cos alpha(n)) u...

    Text Solution

    |

  20. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |