Home
Class 12
MATHS
The tangent and normal to the curve y=2s...

The tangent and normal to the curve `y=2sinx+sin2x` are drown at `P(x=pi/3)`, then area of the quadrilateral formed by the tangent, the normal at P and the coordinate axes is

A

`pi/3`

B

`3pi`

C

`(pisqrt3)/2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

From a point A common tangents are drawn to a circle x^2 +y^2 = a^2/2 and y^2 = 4ax . Find the area of the quadrilateral formed by common tangents, chord of contact of circle and chord of contact of parabola.

The slope of the normal to the curve y = 2x^(2) + 3 sin x at x = 0 is

Find the area of the triangle formed by the straight line x sin alpha + y cos alpha = p with the axes of coordinates .

What normal to the curve y=x^(2) forms the shortest chord ?

If x+4y=14 is a normal to the curve y^2=ax^3 -beta at (2,3) then value of alpha+beta is

The area (in sq. units) in the first quadrant bounded by the parabola y=x^2+1 , the tangent to it at the point (2,5) and the coordinate axes is

Tangents are drawn to the ellipse x^2+2y^2=2 , then the locus of the mid-point of the intercept made by the tangents between the coordinate axes is

Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of the y-axis also touches the circle x^(2)+y^(2)=r^(2) . Also, no point of the parabola is below the x-axis. The minimum area bounded by the tangent and the coordinate axes is

The area of the triangle formed by the positive x-axis, and the normal and tangent to the circle x^2+y^2=4 at (1,sqrt3) is

Find by integration the area of the triangle formed by the x-axis and the tangent and normal to the parabola y=6x-x^(2) at (5,5)

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Find the values of 'm' for which the equation x^4-(m-3)x^2+m=0 has Fo...

    Text Solution

    |

  2. The difference between the greatest and least values of the function f...

    Text Solution

    |

  3. The tangent and normal to the curve y=2sinx+sin2x are drown at P(x=pi/...

    Text Solution

    |

  4. Show that the sum of the intercepts of the tangent to the curve sqrtx+...

    Text Solution

    |

  5. Find the point on the curve y-e^(xy)+x=0. At which we have vertical ta...

    Text Solution

    |

  6. Find the lengths of tangent, subtangent, normal and subnormal to y^2=4...

    Text Solution

    |

  7. If the length of subnormal is equal to length of subtangent at a point...

    Text Solution

    |

  8. Find the angle of intersection between the following curves, y^2=4x an...

    Text Solution

    |

  9. Show that x=y^2 and xy = k cut orthogonally if 8k^2=1

    Text Solution

    |

  10. Show that curves ax^2+by^2=1 and cx^2+dy^2=1 intersect orthogonally if...

    Text Solution

    |

  11. Prove that the curve (x/a)^n+(y/b)^n=2 touches the straught line x/a+y...

    Text Solution

    |

  12. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

    Text Solution

    |

  13. Verify Rolle's theorem for f(x)=x^3(x-1)^2 in the interval 0lexle1

    Text Solution

    |

  14. If 2a+3b+6c=0 then the equation ax^2+bx+c=0 has in the interval (0,1)

    Text Solution

    |

  15. The value of 'c' of Rolls's throrem is applicable to the function f(x)...

    Text Solution

    |

  16. Find 'c' of the Lagrange's mean value theorem for the function f(x)=3x...

    Text Solution

    |

  17. If A(x1,y1) an B(x2,y2) be two points on the curve y=ax^2+bx+c then La...

    Text Solution

    |

  18. 0 < a < b < ( pi/2​) and f(a,b)= (tanb−tana)/b-a

    Text Solution

    |

  19. Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...

    Text Solution

    |

  20. If y=1/(1+x^(n-m)+x^(p-m))+1/(1+x^(m-n)+x^(p-n))+1/(1+x^(m-p)+x^(n-p))...

    Text Solution

    |