Home
Class 12
MATHS
Let A B C D be a quadrilateral with are ...

Let `A B C D` be a quadrilateral with are `18` , side `A B` parallel to the side `C D ,a n dA B=2C D` . Let `A D` be perpendicular to `A Ba n dC D` . If a circle is drawn inside the quadrilateral `A B C D` touching all the sides, then its radius is `3` (b) 2 (c) `3/2` (d) 1

A

3

B

2

C

`3//2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exerise - 4 | Level - I (Previous Year|JEE Main|10 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

Let ABCD be perpendicular to AB and CD. If a circle is drawn inside the quadrilateral ABCD touching all the sides, then its radius is : (a) 3 (b) 2 (c) 32( d ) 1

Let ABCD be a quadrilateral with area 18 , side AB parallel to the side CD, and AB=2CD .Let AD be perpendicular to ABandCD .If a circle is drawn inside the quadrilateral ABCD touching all the sides,then its radius is 3 (b) 2 (c) (3)/(2) (d) 1

A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in Edot Prove that E B C-E D Adot

In an equilateral triangle A B C if A D_|_B C , then A D^2 = (a)C D^2 (b) 2C D^2 (c) 3C D^2 (d) 4C D^2

A B C D is a cyclic quadrilateral whose diagonals A Ca n dB D intersect at P . If A B=D C , Prove that : P A B~= P D C P A=P Da n dP C=P B A D B C

(c) 103 (d) 10 18.A circle is inscribed in an equilateral triangle with side lengths 6 unit. Another circle is drawn inside the triangle (but outside the first circle),tangent to the first circle and two of the sides of the triangle.The radius of the smaller circle is (b) 2/3 (a) 1/3 (c) 2 (d) 1

A B C D is a quadrilateral such that /_D=90^0dot A circle C(O , r) touches the sides A B ,B C ,C Da n dD A at P ,Qa n dS respectively. If B C=38 c m ,C D=25 c ma n dB P=27 c m , find rdot

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

In Figure, diagonal A C of a quadrilateral A B C D bisects the angles A\ a n d\ C . Prove that A B=A D\ a n d\ C B=C D

Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D are mutually perpendicular. Let the area of triangles A B C ,A C Da n dA D B be 3, 4 and 5sq. units, respectively. Then the area of triangle B C D is 5sqrt(2) b. 5 c. (sqrt(5))/2 d. 5/2

MOTION-CIRCLE-Exercise - 4 | Level - II (Previous Year | JEE Advanced
  1. Let A B C D be a quadrilateral with are 18 , side A B parallel to the ...

    Text Solution

    |

  2. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  3. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

    Text Solution

    |

  4. Consider, L(1) : 2x + 3y + p – 3 = 0 , L(2) : 2x + 3y + p + 3 = 0, whe...

    Text Solution

    |

  5. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  6. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  7. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  8. Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x ...

    Text Solution

    |

  9. The centres of two circles C(1) and C(2) each of unit radius are at a...

    Text Solution

    |

  10. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  11. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  12. The straight line 2x – 3y = 1 divides the circular region x^(2) + y^(2...

    Text Solution

    |

  13. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  14. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

    Text Solution

    |

  15. A tangent PT is drawn to the circle x^2+y^2=4 at the point P(sqrt3,1)....

    Text Solution

    |

  16. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

    Text Solution

    |

  17. A circle s passes through the point ( 0,1) and is orthogonal to the ci...

    Text Solution

    |

  18. Let , RS be the diameter of the circle x^(2) + y^(2) = 1 , where S...

    Text Solution

    |

  19. For how many values of p, the circle x^2+y^2+2x+4y-p=0 and the coordin...

    Text Solution

    |

  20. Let T be the line passing the points P(–2, 7) and Q(2,–5). Let F(1) be...

    Text Solution

    |