Two straight line OX and OY cut at right angles and from P.a point with in the angle XOY,perpendiculars PM,PN are drawn to OX and OY respectively. Plot the locus of P when 1)PM+PN is constant (6cm)2)PM-PN is constant (3cm)

In the figure (not to scale) AB = CD, angle DAP = angle DPA and A,B,C,D are concycli. If angle ADC = 80°, then find angle ACD.

Solve : 2^(x+2)+2^(x-1)=9

Volume of a Cylinder

What length of tarpaulin 3m wide will be required to make conical tent of height 8m and base radius 6m ? Assume that the extra length of material that will be required for stitching and wastage in cutting is approximately 20cm ( Use pi= 3.14)

Find the square of: 2a +b