Home
Class 12
MATHS
The curve C1:y=1-cosx,x in(0,pi) and C2:...

The curve `C_1:y=1-cosx,x in(0,pi)` and `C_2:y=(sqrt3)/(2)`|x|+a will touch each other if

A

`a=3/2-pi/sqrt3`

B

`a=3/2-pi/(2sqrt3)`

C

`a=1/2-pi/sqrt3`

D

`a=3/4-pi/sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 2|23 Videos
  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 3|36 Videos
  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos
  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos
  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos

Similar Questions

Explore conceptually related problems

The curves y=x^(2)+x+1 and 2y=x^(3)+5x touch each other at the point

The curves y=x^(3)+x+1 and 2y=x^(3)+5x touch each other at the point

Find the value of a,b,c such that curves y=x^(2)+ax+bandy=cx-x^(2) will touch each other at the point (1,0)

The curves y=4x^(2)+2x-8 and y=x^(3)-x+13 touch each other at the point

If the curves C_(1):y=(In x)/(x) and C_(2):y=lambda x^(2) (where lambda is constant) touches each other,then the value of lambda is

Consider the two curves C_(1):y=1+cos x and C_(2): y=1 + cos (x-alpha)" for "alpha in (0,(pi)/(2))," where "x in [0,pi]. Also the area of the figure bounded by the curves C_(1),C_(2), and x=0 is same as that of the figure bounded by C_(2),y=1, and x=pi . The value of alpha is

Consider the curves C_(1) = y - 4x + x^(2) = 0 and C_(2) = y - x^(2) + x = 0 The raio in which the line y = x divide the area of the region bounded by the curves C_(1) = 0 and C_(2) = 0 is

Consider two curves C1:y^2=4x; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 touch each other at one point b. C1 and C2 touch each other exactly at two point c. C1 and C2 intersect(but do not touch) at exactly two point d. C1 and C2 neither intersect nor touch each other

MOTION-TANGENT & NORMAL-EXERCISE 1
  1. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

    Text Solution

    |

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

    Text Solution

    |

  3. if the tangent ta the curve x=a(1+sintheta) , y=a(1+costheta) at theta...

    Text Solution

    |

  4. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  5. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |

  6. The ordinate of y=(a/2)(e^(x/a)+e^(-x/a))is the geometric mean of the ...

    Text Solution

    |

  7. For a curve (length of normal)^2/(length of tangent)^2 is equal to

    Text Solution

    |

  8. If at any point on a curve the surtangent and subnormal are equal, the...

    Text Solution

    |

  9. The curves x^3+p xy^2=-2 and 2x^2y-y^3=2 are othogonal for

    Text Solution

    |

  10. If curves (x^2)/(a^2)-(y^2)/(b^2)=1 and xy=c^2 intersect othrogonally ...

    Text Solution

    |

  11. Equation of the normal to the curve y=-sqrtx+ 2 at the point of its in...

    Text Solution

    |

  12. The curve C1:y=1-cosx,x in(0,pi) and C2:y=(sqrt3)/(2)|x|+a will touch ...

    Text Solution

    |

  13. Use differential to approximate sqrt(36.6)

    Text Solution

    |

  14. Find the approximate change in the surface area of a cube of side x...

    Text Solution

    |

  15. If f(x)=3x^2+15 x+5,then the approximate value of f (3. 02)is(A) 47.6...

    Text Solution

    |

  16. Water is being poured on to a cylindrical vessel at the rate of 1 m^3/...

    Text Solution

    |

  17. Water is poured into an inverted conical vessel of which the radius of...

    Text Solution

    |

  18. The area of the triangle formed by the positive x-axis and the normal ...

    Text Solution

    |

  19. Sketch the graph of y=(x^3)/(3)-(3x^2)/(2)+2x+6

    Text Solution

    |

  20. Sketch graph of y=("Inx")/x

    Text Solution

    |