AB,BC,CD and AD are the tangents of the circle.If AP=x,BP =y, CR =z, SD =W then show that the perimeter of the quadrilateral ABCD is 2(x+y+z+w).

AB, BC and AC are the tangents of the circle. If AR = 5cm, BP = 4cm and BC 10cm, find the perimeter of the triangle.

If y=mx+c is a tangent to the circle x^2+y^2=1 , show that c=+-sqrt(1+m^2)

ABCD is a quadrilateral such that all of its sides touch a circle. If AB = 6cm, BC = 6.5cm and CD =7cm,then And the length of AD.

In the quadrilateral ABCD,AB and CD are parallel. angleA+angleC=190^o If AD=BC , then prove that a circle an be drawn through the points A,B,C and D. .

Find the angle between the planes 2x-y+z=6 and x+y+2z=7.

Draw a quadrilateral ABCD with AB = 5.5 cm, BC = 6.5 cm, CD = 7 cm, AD = 7.5 cm and angleA = 80^@ and draw a triangle of area equal to that of quadrilateral ABCD.

suppose that the mid point of the sides BC,CA and AB of a triangle Delta ABC are (5,7,11), (0,8,5) and (2,3,-1) If the vertices of the triangle are A(x_1,y_1,z_1), B(x_2,y_2,z_2) and C(x_3,y_3,z_3) derive nine equations in x_1,x_2,x_3,y_1,y_2,y_3,z_1,z_2, and z_3

Find the values of x, y, z , if the matrix A=[[0, 2 y, z],[ x, y, -z],[ x, -y, z]] satisfy the equation A^' A=I