Home
Class 12
MATHS
A pair of tangents is drawn to a unit ci...

A pair of tangents is drawn to a unit circle with center at the origin and these tangents intersect at `A` enclosing an angle of `60^0` . The area enclosed by these tangents and the arc of the circle is (a) `2/(sqrt(3))-pi/6` (b) `sqrt(3)-pi/3` (c) `pi/3-(sqrt(3))/6` (d) `sqrt(3)(1-pi/6)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Two medians drawn from the acute angles of a right angled triangle intersect at an angle pi/6. If the length of the hypotenuse of the triangle is 3 units, then the area of the triangle (in sq. units) is (a) sqrt3 (b) 3 (c) sqrt2 (d) 9

Two medians drawn from the acute angles of a right angled triangle intersect at an angle pi/6dot If the length of the hypotenuse of the triangle is 3u n i t s , then the area of the triangle (in sq. units) is sqrt(3) (b) 3 (c) sqrt(2) (d) 9

The area of a square is equal to the area of a circle. The ratio between the side of the square and the radius of the circle is (a) sqrt(pi):1 (b) 1:sqrt(pi) (c) 1:pi (d) pi:1

The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is(A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))

The angle between the tangents drawn from the point (1,4) to the parabola y^2=4x is (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/2

If slant height of a right circular cone is 3 cm then the maximum volume of cone is (a) 2sqrt(3) pi cm^(3) (b) 4sqrt(3) pi cm^(3) (c) (2+sqrt(3)) pi cm^(3) (d) (2-sqrt(3)) pi cm^(3)

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(2)

Two tangents making an angle of 120^0 with each other are drawn to a circle of radius 6cm, then the length of each tangent is equal to sqrt(3) cm (b) 6 sqrt(3) cm (c) sqrt(2) cm (d) 2 sqrt(3) cm

If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circle at Pa n dQ from the origin O such that the area of the smaller sector formed by C Pa n dC Q is 3pis qdotu n i t , where C is the center of the circle, the O P equals ((3sqrt(3)))/2 (b) 3sqrt(3) (c) 3 (d) sqrt(3)

The angle between the tangents to the curve y=x^2-5x+6 at the point (2, 0) and (3, 0) is (a) pi/2 (b) pi/3 (c) pi (d) pi/4

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Given two circle x^2+y^2-6x-2y+5=0&x^2+y^2+6x+22 y+5=0 . The tangent a...

    Text Solution

    |

  2. The internal common tangents to two circles with centre C1 and C2 in...

    Text Solution

    |

  3. A pair of tangents is drawn to a unit circle with center at the origin...

    Text Solution

    |

  4. If two chords of circle x^2+y^2-a x-b y=0 , drawn from the point (a, b...

    Text Solution

    |

  5. If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,...

    Text Solution

    |

  6. The inverse of a skew-symmetric matrix of odd order a. is a symmetric ...

    Text Solution

    |

  7. If | (a+1,a+2, a+p), (a+2, a+3,a+q), (a+3,a+4,a+r)|=0,then p ,q ,r ar...

    Text Solution

    |

  8. A circle with center in the first quadrant is tangent to y=x+10,y=-6 a...

    Text Solution

    |

  9. Line x/a+y/b=1 cuts the coordinate axes at A(a ,0)a n dB(0,b) and the ...

    Text Solution

    |

  10. Match the column Column-I Column-II a. If ||x-1|-2|geq3, then x in ...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. If A=[[1 ,-3, 4], [7, 2 ,5],[ -2,6, 3]] a n d B=d i ag(2,3,5) , then t...

    Text Solution

    |

  13. If y=f(x) has following graph, then match the column.

    Text Solution

    |

  14. If (log)a b=2,(log)b c=2a n dlog3c=(log)3a+3,t h e n(a+b+c) is equal t...

    Text Solution

    |

  15. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),(...

    Text Solution

    |

  16. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

    Text Solution

    |

  17. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  18. Comprehension (Q. 5 & 6) Let A B be any chord of the circle x^2+y^2-2x...

    Text Solution

    |

  19. If the graph of the function y = f(x) is as shown : the graph of ...

    Text Solution

    |

  20. The graph of y=|f(x)| is as shown in the following figure Fig Graph of...

    Text Solution

    |