Home
Class 12
MATHS
A circle arc of radius 1 subtends an ang...

A circle arc of radius `1` subtends an angle of `x` radians as shown in figure. The centre of the circle is `O` and the point `C` is the intersection of two tangent lines at `A` and `B`. Let `T(x)` be the area of `DeltaABC` and `S(x)` be the area of shaded region.

`lim_(xto0)(T(x))/(x^(3))` is

A

`1/2`

B

`1/3`

C

`1/4`

D

`1/8`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 Videos

  • LIMITS

    ARIHANT MATHS|Exercise MATCHING TYPE QUESTIONS|1 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

A circle arc of radius 1 subtends an angle of x radians as shown in figure. The centre of the circle is O and the point C is the intersection of two tangent lines at A and B. Let T(x) be the area of DeltaABC and S(x) be the area of shaded region. lim_(xto0)(S(x))/x is

Find the equation of the circle whose centre is the point of intersection of the lines 2x-3y+4=0and3x+4y-5=0 and passes through the origin.

Find the equations of a circle having radius 5 units and the centre as the point of intersection of the straight lines 2x-y-5=0 and 3x+2y=4.

A circle has radius 3u n i t s and its centre lies on the line y=x-1. Find the equation of the circle, if it passes through (7,3)dot

P and Q are centres of two circles, intersecting at B and C, and ACD is a striaght line. If angleAPB = 150^@ and angleBQD = x^@ , find the value of x.

Consider the functions: f(x)=|x|-1 and g(x)=1-|x|. (b) Find the area of their shaded region.

Show that the four points of intersection of the lines : (2x-y + 1) (x-2y+3) = 0 , with the axes lie on a circle and find its centre.

If the fig. three coplanar lines intersect at a point O, forming angles as shown in figure. Find the values of x,y,z and t.

Draw the graphs of x-y=1 and 2x+y=8. shade the region bouded by these lines and y-axis. Find the area of the shaded region.

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.