Home
Class 10
MATHS
A B C D is a square of side 4 cm. If ...

`A B C D` is a square of side 4 cm. If `E` is a point in the interior of the square such that ` C E D` is equilateral, then area of ` A C E` is (a) `2(sqrt(3)-1)c m^2` (b) `4(sqrt(3)-1)c m^2` (c) `6(sqrt(3)-1)c m^2` (d) `8(sqrt(3)-1)c m^2`

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise All Questions|329 Videos

Similar Questions

Explore conceptually related problems

The altitude of an equilateral triangle of side 2sqrt(3) c m is 1/2c m (b) (sqrt(3))/4c m (c) (sqrt(3))/2c m (d) 3 c m

Length of each edge, of a regular tetrahedron is 1 cm. Its volume is (sqrt(3))/(12)c m^3 (b) 1/4sqrt(3) c m^3 (c) (sqrt(2))/6c m^3 (d) 1/(12)sqrt(2) c m^3

The ratio of the area of a square of side a and that of an equilateral triangle of side a, is 2:1 (b) 2:sqrt(3)4:3( d) 4:sqrt(3)

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

If the length of each side of an equilateral triangle of area 4sqrt(3)cm^(2), is 4cm(b)(4)/(sqrt(3))cm (c) (sqrt(3))/(4)cm(d)3cm

Given b=2,c=sqrt(3),/_A=30^(0), then inradius of o+ABC is (sqrt(3)-1)/(2) (b) (sqrt(3)+1)/(2) (c) (sqrt(3)-1)/(4) (d) none of these

The three sides of a trapezium are equal, each being 8cm. The area of the trapezium, where it is maximum, is (a)24sqrt(3) c m^2 (b) 48sqrt(3)c m^2 (c)72sqrt(3)c m^2 (d) none of these

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is 50sqrt(2) c m^2 (b) (100)/pi c m^2 (c) (50sqrt(2))/pic m^2 (d) (100sqrt(2))/pic m^2

A B C D is a square. E is the mid-point of B C and F is the mid-point of C D . The ratio of the area of triangle A E F to the area of the square A B C D is (a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 3 : 8

(sqrt8)^(1/3) = ? (a) 2 (b) 4 (c) sqrt2 (d) 2sqrt2

RD SHARMA-AREAS RELATED TO CIRCLES-All Questions
  1. If diameter of a circle is increased by 40%, then its area increase...

    Text Solution

    |

  2. In Fig. 15.107, the shaded area is (FIGURE) (a) 50(pi-2)c m^2 (b) ...

    Text Solution

    |

  3. In Fig. 15.108, the area of the segment P A Q is (FIGURE) (a) (a^2)/4(...

    Text Solution

    |

  4. In Fig. 15.109, the area of segment A C B is (FIGURE) (a) (pi/3-(sq...

    Text Solution

    |

  5. If the area of a sector of a circle bounded by an arc of length 5pi...

    Text Solution

    |

  6. In Fig. 15.110, the ratio of the areas of two sectors S1 and S2 is ...

    Text Solution

    |

  7. If the area of a sector of a circle is 5/(18) of the area of the ci...

    Text Solution

    |

  8. If the area of a sector of a circle is 7/(20) of the area of the ci...

    Text Solution

    |

  9. In Fig. 15.111, if A B C is an equilateral triangle, then shaded ar...

    Text Solution

    |

  10. In Fig. 15.112, the area of the shaded region is (FIGURE) (a) 3pi\ ...

    Text Solution

    |

  11. If the perimeter of a circle is equal to that of a square, then the...

    Text Solution

    |

  12. 13. The radius of a circle is 20cm. Three more concentric circles are ...

    Text Solution

    |

  13. The area of a sector whose perimeter is four times its radius r uni...

    Text Solution

    |

  14. If a chord of a circle of radius 28 cm makes an angle of 90o at ...

    Text Solution

    |

  15. If area of a circle inscribed in an equilateral triangle is 48pi sq...

    Text Solution

    |

  16. The hour hand of a clock is 6 m long. The area swept by it between ...

    Text Solution

    |

  17. A B C D is a square of side 4 cm. If E is a point in the interio...

    Text Solution

    |

  18. If the area of a circle is equal to the sum of the areas of two cir...

    Text Solution

    |

  19. If pi is taken as 22//7 , the distance (in metres) covered by a ...

    Text Solution

    |

  20. ABCD is a rectangle whose three vertices are B(4, 0),  C(4, 3) and D(...

    Text Solution

    |