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. Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

    Text Solution

    |

  2. If y=(A+Bx)e^(mx)+(m-1)^(-2)e^(x), then (d^(2)y)/(dx^(2))-2m(dy)/(dx)...

    Text Solution

    |

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

    Text Solution

    |

  4. Let alpha+ibeta;alpha,beta in R , be a root of the equation x^3+q x+r...

    Text Solution

    |

  5. Of f(x)=p x^2+q x+r is a quadratic expression such that [a^2 a1 b^2 ...

    Text Solution

    |

  6. A rectangle ABCD is inscribed in a circle . Let PQ be the diameter of ...

    Text Solution

    |

  7. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two str...

    Text Solution

    |

  8. If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then...

    Text Solution

    |

  9. The equation to the circle which touches the axis of y at the origin a...

    Text Solution

    |

  10. A. 2^x + 2^(f(x)) = 2

    Text Solution

    |

  11. Let f (theta)=(1)/(1+(tan theta)^(2021)), then the value of sum(theta=...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

    Text Solution

    |

  14. if siny=xsin(a+y) and (dy)/(dx)=(A)/(1+x^(2)-2xcosa) then the value of...

    Text Solution

    |

  15. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

    Text Solution

    |

  16. Let f(x) satisfy the requirements of Lagrang's mean value theorem in [...

    Text Solution

    |

  17. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  18. Circumcentre of triangle A B C, where A(rsinx,rcosx), B (rainy, rcosy...

    Text Solution

    |

  19. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  20. Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

    Text Solution

    |