The maximum number of common tangents drawn to two circles when both the circles touch each other externally is 

5√2 cm in a circle. If the long chord makes a right angle at the centre, then what will be the length of the radius of the circle?

In ΔPQR, PQ=QR and O is an interior point of ΔPQR such that ∠OPR=∠ORP.

Consider the following statements:

(i) ΔPOR is an isosceles triangle.

(ii) O is the centroid of ΔPQR.

(iii) ΔPQO is congruent to ΔRQO.

Which of the above statements are correct?

In any triangle ABC, AB + BC = 12 cm, BC + CA = 14 cm and CA + AB = 18 cm. What will be length of radius of a circle, if the perimeter of circle is equal to the perimeter of triangle ABC? 

Two circles intersect at A and B, P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is 

Triangle PQR is such that PQ=9 cm, QR=6 cm, PR=7.5 cm and triangle PQR is similar to triangle XYZ. If XY=18 cm, find the value of YZ.

The difference between the interior and the exterior angles of a regular polygon is 150^o. Find the number of sides in the polygon.

If the ratio of the measurements of the three angles of a triangle is 2: 3: 4, then the measurement of its largest angle is.