Home
Class 11
MATHS
Consider square A B C D of side length 1...

Consider square `A B C D` of side length 1. Let `P` be the set of all segments of length 1 with endpoints on the adjacent sides of square `A B C D` . The midpoints of segments in `P` enclose a region with area `Adot` The value of `A` is (a) `pi/4` (b) `1-pi/4` (c) `4-pi/4` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

In a triangleA B C ,/_B=90^0 and b+a=4. The area of the triangle is maximum when /_C is (a) pi/4 (b) pi/6 (c) pi/3 (d) none of these

If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is (a) 6 (b) 7 (c) 5 (d) none of these

Area enclosed between the curves |y|=1-x^2 and x^2+y^2=1 is (a) (3pi-8)/3 (b) (pi-8)/3 (c) (2pi-8)/3 (d) None of these

The value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) none of these

If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2) at t=pi/2 is (a) (pi+4)/2 (b) -(pi+4)/2 (c) -2 (d) none of these

int_0^oo(x dx)/((1+x)(1+x^2)) is equal to (A) pi/4 (B) pi/2 (C) pi (D) none of these"

Let alphaa n dbeta be any two positive values of x for which 2cosx ,|cosx|, and 1-3cos^2x are in G.P. The minimum value of |alpha-beta| is pi/3 (b) pi/4 (c) pi/2 (d) none of these

A rectangle with sides of lengths (2n-1) and (2m-1) units is divided into squares of unit length. The number of rectangles which can be formed with sides of odd length, is (a) m^2n^2 (b) mn(m+1)(n+1) (c) 4^(m+n-1) (d) non of these

Line segments A C and B D are diameters of the circle of radius 1. If /_B D C=60^0 , the length of line segment A B is_________

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The centre of circle inscribed in a square formed by lines x^2-8x+12...

    Text Solution

    |

  2. If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the ...

    Text Solution

    |

  3. Consider square A B C D of side length 1. Let P be the set of all segm...

    Text Solution

    |

  4. The number of intergral value of y for which the chord of the circle x...

    Text Solution

    |

  5. Statement 1 : The circle having equation x^2+y^2-2x+6y+5=0 intersects ...

    Text Solution

    |

  6. Statement 1 : The center of the circle having x+y=3 and x-y=1 as its n...

    Text Solution

    |

  7. Statement 1 : The equations of the straight lines joining the origin...

    Text Solution

    |

  8. Statement 1 : Points A(1,0),B(2,3),C(5,3),a n dD(6,0) are concyclic. S...

    Text Solution

    |

  9. Statement I The chord of contact of tangent from three points A, B and...

    Text Solution

    |

  10. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

    Text Solution

    |

  11. The circles having radii r1 and r2 intersect orthogonally. Length of t...

    Text Solution

    |

  12. Tangents P A and P B are drawn to x^2+y^2=9 from any arbitrary point P...

    Text Solution

    |

  13. The two circles which passes through (0,a) and (0,-a) and touch the li...

    Text Solution

    |

  14. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

    Text Solution

    |

  15. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  16. The condition that the chord xcos alpha +ysin alpha -p=0 of x^2+y^2-a^...

    Text Solution

    |

  17. Let the base A B of a triangle A B C be fixed and the vertex C lies on...

    Text Solution

    |

  18. If the chord of contact of tangents from a point P to a given circle p...

    Text Solution

    |

  19. Statement : Points (1, 1), (2, 3), and (3, 5) are collinear.

    Text Solution

    |

  20. Statement 1 : The number of circles touching lines x+y=1,2x-y=5, and 3...

    Text Solution

    |