Let `A B C D` be a quadrilateral with area `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

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 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

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

If a,b,c,d are the side of a quadrilateral, then find the the minimuym value of (a^(2)+b^(2)+c^(2))/(d ^(2))

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

In a cyclic quadrilateral A B C D if A B C D a n d /_B=70^0, find the remaining angles.