Quadrilateral part 2

The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the angle between them is 60^0dot If the area of the quadrilateral is 4sqrt(3) , find the remaining two sides.

The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the angle between them is 60^0dot If the area of the quadrilateral is 4sqrt(3) , find the remaining two sides.

The co-ordinates of the four vertices of quadrilateral are (-2,4),(-1,2), (1, 2) and (2, 4), taken in order. The equation of the line through the vertex (-1, 2) and dividing the quadrilateral in two equal parts is:

The four vertices of a quadrilateral are (1,\ 2),\ (-5,\ 6),\ (7,\ -4) and (k ,\ -2) taken in order. If the area of the quadrilateral is zero, find the value of k .

The angles of a quadrilateral are in the ratio 3: 4: 5: 6 . Show that the quadrilateral is a trapezium.

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.

All the angles of a quadrilateral are equal. What special name is given to this quadrilateral ?

If the angles of quadrilateral are in ratio of 1:2:4:5 then largest angle is

Quadrilateral class 9