Home
Class 12
MATHS
The equation of normal to the curve y = ...

The equation of normal to the curve y = `log_(e)` x at the point P( 1, 0) is ..... .

A

2x+y=2

B

x-2y=1

C

x-y=1

D

x+y=1

Text Solution

Verified by Experts

The correct Answer is:
D
We have, y`=log_(e)xrArr(dy)/(dx)=1/x`
`therefore` Slope of normal at P(1,0)
`=-1/((dy//dx)_((1,0)))`
`=(-1)/1`=-1
`therefore` Equation of normal at P(1,0)
`rArry-0=(-1)(x-1)`
`rArry=-x+1`
`rArrx+y=1`
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2018

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

  • MHTCET 2019 PAPER 2

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

The equation of normal to the curve y = tan x at the point (0, 0) is

The equation of the normal to the curve y=x(2-x) at the point (2, 0) is

Equation of normal to the curve y^(2)=(x)/(2-x) at the point (1,1) is

Plot the curve y=log_(e)(-x)

The area bounded by the coordinate axes and normal to the curve y=log_(e)x at the point P( 1 , 0), is

The equation of normal to the curve y= x ^(2) + 2 at point (1,1) is :

Equation of the normal to the curve y=-sqrt(x)+2 at the point (1,1)

The equation of the normal to the curve y=sin x at (0,0) is

The equation of the normal to the curve y=x^(-x) at the point of its maximum is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2019 PAPER 1-MATHEMATICS
  1. For a GP, if (m+n)^(th) term is p and (m-n)^(th) term is q, then m^(th...

    Text Solution

    |

  2. A random variable X has following probability distribution Then P...

    Text Solution

    |

  3. The equation of normal to the curve y = log(e) x at the point P( 1, 0)...

    Text Solution

    |

  4. The value of x in (0,(pi)/(2)) satisfying the equation sin x cos x =(1...

    Text Solution

    |

  5. If a+b, b+c and ca are coterminous edges of a parallel opiped then its...

    Text Solution

    |

  6. If the c.d.f (cumulative distribution function) is given by F(x)=(x-25...

    Text Solution

    |

  7. The joint equation of pair of straight lines passing through origin an...

    Text Solution

    |

  8. The angle between lines (x-2)/1=(y-3)/2=(z-5)/2and (x-2)/2=(y-3)/-2=(z...

    Text Solution

    |

  9. If the line passes through the points P(6, - 1, 2), Q (8, -7, 2A) and ...

    Text Solution

    |

  10. The equivalent for of the statement ~(p to ~ q) is

    Text Solution

    |

  11. If A={x in R//x^(2)+5|x|+6=0} then n(A)= . . .

    Text Solution

    |

  12. If the f(x)=(log(1+ax)-log(1-bx))/x, xne0 is continuous at x = 0 the...

    Text Solution

    |

  13. The co-ordinates of the foot of perpendicular drawn from origin to the...

    Text Solution

    |

  14. int(sqrt(x^(2)-a^(2)))/xdx=…… .

    Text Solution

    |

  15. The maximum value of z=9x+11y subject to 3x+2yle12,2x+3yle12,xge0,yge0...

    Text Solution

    |

  16. int(0)^(4)1/(1+sqrtx)dx=…..

    Text Solution

    |

  17. The number of solutions of sin^(2)theta=1/2in [0,pi] is ……

    Text Solution

    |

  18. If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-...

    Text Solution

    |

  19. Which of the following equations has no solution?

    Text Solution

    |

  20. The minimum value of z = 10x + 25y subject to 0lexle3,0leyle3,x+yle5 i...

    Text Solution

    |