Draw a line segment `PQ=8cm.` Take point R on it such that `l(PR):l(RQ)=3:2`.

Draw segment PQ=4.3cm and bisect it.

Draw a circle with centre A and radius 4 cm. Draw tangent segments PQ and PR from an external point P such that PQ=PR=3 cm. Find AP

Draw seg PQ=8cm. Divide it in the ratio 3:5,

Draw a circle with centre A and radius 3.5cm. Take a point B such that d(A,B)=8cm. Draw tangents to the circle passing through point B.

Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and let the line parallel to y-axis passing through P meet the circle x^2 +y^2=a^2 at the point Q such that P and Q are on the same side of x-axis. For two positive real numbers r and s, find the locus of the point R on PQ such that PR : RQ = r : s and P varies over the ellipse.

Draw a circle of diameter 6.4 cm. Take a point R at a distance equal to its diameter form the center. Draw tangents from point R.

Draw a circle with centre P and radius 3.5 cm. Take a point A on it. Draw a tangent at tangents at point A.

In Delta PQR , given that S is a point on PQ such that ST || QR and (PS)/(SQ) = 3/5 . If PR = 5.6 cm , then find PT .

Draw a circle of radius 4.5 cm. Take a point on the circle. Draw the tangent at that point using the alternate segment theorem.

Draw a circle of radius 3.4 cm and centre E. Take a point F on the circle. Take point A such that E-F-A and FA-4.1 cm. Draw tangents to the circle from point A.