A (0,6), P (4,-3), and the origin O form a `Delta` OPA. `Delta`OPA is turned with its base OA on the Y-axis to form `Delta`OQA . What are the coordinates of Q? What is figure OPAQ? Is `Delta OPA ~= Delta OQA `? Give reason. Find the area of OPAQ.

Let a(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC . Find the coordinates of the point P on AD such that AP : PD = 2 : 1.

The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

The Class X students of a secondary school in Krishinagar have been alloted a rectangular plot of land for their gardening activity . Sapling of Gul mohar is planted on the boundary at a disatnce of 1m from each other . There is a triangular grassy lawn in the plot as shown in the figure . The students are to sow seeds of flowering plants on the remaining area of the plot . (i) Taking A as origin , find the coordinates of the vertices of the triangle . (ii) What will be the coordinates of the vertices of Delta PQR if C is the origin Also calculate the areas of the triangles i these cases . What do you observe ?

The minimum area of the triangle formed by the variable line 3 cos theta.x +4 sin theta.y=12 and the co-ordinate axes is

Area of the triangle formed by the normal to the curve x = e^(sin y) at (1,0) with the coordinate axes is

The area of the triangle formed by the coordinate axes and the line 4 x+5 y=20 is (in square units)

Draw the graphs of the equations 5x-y=5 and 3x-y=3 Determine the coordinates of the vertices of the triangle formed by these lines and the y-axis.

Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle O P Q . The point R inside the triangle O P Q is such that the triangle O P R, P Q R and O Q R are of equal area. The coordinates of R are

The base AB of an equilateral Delta ABC of side 2p lies along the X-axis such that the midpoint of AB is at the origin and vertex C is above x-axis. Find coordinates of the vertices of Delta ABC.

If the midpoints of the sides of a triangle are (3, 4) (4, 6), and (5,7), find the coordinates of the vertices of the triangle.