From a fixed point `A` on the circumference of a circle of radius `r ,` the perpendicular `A Y` falls on the tangent at `Pdot` Find the maximum area of triangle `A P Ydot`

A point P is given on the circumference of a circle of radius rdot Chords QR are parallel to the tangent at Pdot Determine the maximum possible area of triangle PQR.

If P(t^2,2t),t in [0,2] , is an arbitrary point on the parabola y^2=4x ,Q is the foot of perpendicular from focus S on the tangent at P , then the maximum area of P Q S is (a)1 (b) 2 (c) 5/(16) (d) 5

P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with AA' as the major axis. Find the maximum area of triangle A P A '

The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Take a point which is 11 cm away from the centre of a circle of radius 4 cm and draw the two tangents to the circle from that point.

P is the variable point on the circle with center at CdotC A and C B are perpendiculars from C on the x- and the y-axis, respectively. Show that the locus of the centroid of triangle P A B is a circle with center at the centroid of triangle C A B and radius equal to the one-third of the radius of the given circle.

PQ is a chord of length 8 cm to a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the length of the tangent TP.

Draw a tangent at any point R on the circle of radius 3.4 cm and centre at P ?