Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

In the given figure if OC = 9 cm and OB = 15 cm then OB + BD is equal to ____________

If the angle between two radio of a circle is ^o, the angle between the tangents at the end of the radii is ____________

The perimeter of a right triangle is 36 cm. Its hypotenuse is 15 cm, then the area of the triangle is ____________

In a triangle, the internal bisector of an angle bisects the opposite side. Find the nature of the triangle.

The ratio of the areas of two similar triangles is equal to ____________

S and T are points on sides PQ and PR respectively of \(\Delta PQR\) If PS = 3cm, AQ = 6 cm, PT = 5 cm, and TR = 10 cm and then QR

If triangle PQR is similar to triangle LMN such that 4PQ = LM and QR = 6 cm then MN is equal to ____________

In figure CP and CQ are tangents to a circle with centre at O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, then the length of BR is

How many tangents can be drawn to the circle from an exterior point?

In the given figure, PR = 26 cm, QR = 24 cm, \(\angle PAQ\) = 90^o, PA = 6 cm and QA = 8 cm. Find \(\angle\)PQR

In the adjacent figure \(\angle BAC\) = 90^o and AD\(\bot \)BC then 

If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is

In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is 

In ∆LMN, \(\angle\)L = 60^o, \(\angle\)M = 50^o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is