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

The equation of the normal to the curve `y=sin x cos x " at " x=(pi)/(2),` is

A

x=2

B

` x=pi`

C

`x + pi =0`

D

`2x = pi `

Text Solution

Verified by Experts

The correct Answer is:
D
We have,
` y= x + sin x cos x (dy)/(dx)=1 + cos 2x`
` ((dy)/(dx))_(x=pi/2) = 1-1 `
=0
and `(dy)/(dx)` is not defined
Equation of normula is ` x= pi/2`
` Rightarrow 2x=pi`
Promotional Banner

Topper's Solved these Questions

  • PLANE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|9 Videos

  • PRACTICE SET 02

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics )|50 Videos

Similar Questions

Explore conceptually related problems

The equation of the normal to the curve y=x+sin x cos x " at " x=(pi)/(2), is

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

Write the equation of the normal to the curve y=x+sinxcosx at x=pi/2 .

The equation of normal to the curve y^(2)=8x is

Find the equation of the normal to the curve y = 2 sin^(2) 3x "at " x = (pi)/(6)

Find the equations of tangent and normals to the curves y=sin x+cos x at x=(pi)/(3)

Find the equation of the tangent to the curve y=x-sin x cos x at x=(pi)/(2)

The equation of normal to the curve y=2cosx at x=pi/4 is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 01-Paper 2 (Mathematics)
  1. Which of the term is not used in a linear programming problem ?

    Text Solution

    |

  2. The function f(x) = a sin x + 1/3 sin 3x has maximum value at x = pi...

    Text Solution

    |

  3. The equation of the normal to the curve y=sin x cos x " at " x=(pi)/(2...

    Text Solution

    |

  4. The function x^x is increasing when

    Text Solution

    |

  5. int(0)^(pi//2) (dx)/(1+root(3)(tanx)) is equal to

    Text Solution

    |

  6. The value of int(-pi//4)^(pi//4) x^(3) sin^(4) x dx is equal to

    Text Solution

    |

  7. Area bounded by the curves y = x ,y = tanx and x = pi/4 is

    Text Solution

    |

  8. The solution of differential edquation (dy)/(dx) +1 = cosec (x+y) is

    Text Solution

    |

  9. If area bounded by the curve y^(2)=4ax and y=mx is a^(2)//3 , then the...

    Text Solution

    |

  10. int \ sin x \ d(cos x) is equal to

    Text Solution

    |

  11. lim(x to oo) ((x^(2)+ 5x+3)/(x^(2)+x+3))^(x) is equal to

    Text Solution

    |

  12. If f(x)={(sqrt(1+k x)-sqrt(1-k x))/x for 1 le x< 0 and 2x^2+3x-2 for...

    Text Solution

    |

  13. Two cards drawn without replacement from a well shuffled pack of 52 ca...

    Text Solution

    |

  14. The minimum value of linear objective function z =2x + 2y under linear...

    Text Solution

    |

  15. The angle between the line x/2 = y/3 = z/4 and the plane 3 x + 2y -3z...

    Text Solution

    |

  16. Which of the following is not a proposition ?

    Text Solution

    |

  17. A line AB in three-dimensional space makes angles 45oa n d""120o with ...

    Text Solution

    |

  18. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  19. if a = (2,1,-1) , b= (1,-1,0) , c = (5,-1,1) then unit vector parallel...

    Text Solution

    |

  20. The function f(x) = 2x^(3) + 3x^(2) -12 x + 1 decreases in the interv...

    Text Solution

    |