Question

18. A straight line AB is 8 cm long. Draw and
describe the locus of a point which is :
(i) always 4 cm from the line AB.
(ii) equidistant from A and B.
Mark the two points X and Y, which are 4 cm
from AB and equidistant from A and B.
Describe the figure AXBY.
[2008]​

Answer 1

18. A straight line AB is 8 cm long. Draw and describe the locus of a point which is :  (i) always 4 cm from the line AB.  (ii) equidistant from A and B.  Mark the two points X and Y, which are 4 cm  from AB and equidistant from A and  B.  Describe the figure AXBY.  [2008]​

• Given,
• Steps of construction:
• 1. Draw a line AB with a measure of 8 cm.
• 2. Draw lines parallel to AB at 4 cm above and below the lines and mark them as p and q.
• 3. Draw the perpendicular bisector of AB which intersects the parallel lines p and q respectively and mark them as X and Y respectively.
• 4. Join AX, AY and BX, BY
• 5. Hence the figure AXBY is a square.

Answer 2

Answer:

$\frac{\partial u}{\partial t}</p><p> = h^2 \left( \frac{\partial^2 u}{\partial x^2}</p><p> + \frac{\partial^2 u}{\partial y^2}</p><p> + \frac{\partial^2 u}{\partial z^2} \right)$