Two poles of height a and b stand at the centers of two circular plots which touch each other externally at a point and the two poles subtend angles of 30° and 60° respectively at this point, then distance between the centers of these plots is

Two poles of height 10 meters and 20 meters stand at the centres of two circular plots which touch each other externally at a point and the two poles subtend angles 30^(@) and 60^(@) respectively at this point, then the distance between the centres of these circular plots is

Two circles touch each other externally at a point P and a direct common tangent touches the circles at the points Q and R respectively. Then angle QPR is

Two circles touch each other externally at point A and PQ is a direct tangent which touch circle at P and Q respectively then anglePAQ = ?

Two circles of radius 5 cm and 4 cm touch each other. Find the distance between their centers.

A pole of height h stands in the centre of a circular platform in the centre of a circular field. Another pole of equal height is at a point on the boundary of the field. The angles of elevation of the top of the first pole from the bottom and top of the second pole are respectively alpha and beta . Height of the platform from the ground is

A lamp post standing at a point A on a circular path of radius r subtends an angle alpha at some point B on the path, and AB subtends an angle of 45^(@) at any other point on the path, then height of the lampost is

Two poles of height 7 m and 12 m stand on a playground. If the distance between their feet is 12 m, then the distance between their tops is