13
PO1231212312HYPERBOLA
THROUGH A POINT
OF KNOWN CO-ORDINATESSSolution Steps:
Extend horizontal line from P to right side.
2Extend vertical line from P upward.
3 On horizontal line from P, mark some points taking any distance and name them after P-1, 2,3,4 etc.
4 Join 1-2-3-4 points to pole O. Let them cut part [P-B] also at 1,2,3,4 points.
5From horizontal 1,2,3,4 draw vertical lines downwards and
6From vertical 1,2,3,4 points [from P-B] draw horizontal lines.
7Line from 1 horizontal and line from 1 vertical will meet at P1.Similarly mark P2, P3, P4 points.
8Repeat the procedure by marking four points on upward vertical line from P and joining all those to pole O. Name this points P6, P7, P8 etc. and join them by smooth curve.
Problem No.10: Point P is 40 mm and 30 mm from horizontal
and vertical axes respectively.Draw Hyperbola through it.