Home
Class 12
MATHS
Find the equation of the tangent to the ...

Find the equation of the tangent to the curve `y=x-sinxcosx` at `x=pi/2`

A

`3x-y-2pi=0`

B

`x-3y-2pi=0`

C

`4x+2y-pi=0`

D

`x-3y+2pi=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

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

The equation of the tangent to the curve y=4+cos^2x at x=pi/2 is

Find the equation of the tangent line to the curve y=sinx" at "x=(pi)/(4).

Find the equation of the tangent to the curve x=sin3t , y=cos2t at t=pi/4 .

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

Find the equation of the tangent to the curve x=sin3t,y=cos2tquad at t=(pi)/(4)

Find the equation of the tangent of the curve y=3x^(2) at (1, 1).

Find the equation of the tangent line to the curve y=xtan^(2)x" at " x=(pi)/(4).

Find the equation of tangent to the curve x=sin3t,y=cos2tquad at t=(pi)/(4)

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. Find the equation of the tangent to the curve y=x-sinxcosx at x=pi/2

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |