AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT=75° and ∠BAC=45° and C being a point on the circle, then ∠ABC is equal to

In the given figure , DE‖BC and AD:DB=5:3, then what is the value of DE|BC?

G is the centroid of ΔABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively; then the length of AB (in cm) is?

The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC=90º, then the radius of circle is

In a given circle, the chord PQ is of length 18 cm. AB is the perpendicular bisector of PQ at M. If MB=3. Find the length of AB?

If the length of the three sides of a triangle are 6 cm, 8 cm, and 10 cm,  then the length of the median to its greatest side is

if θ is acute angle and sin (θ+18⁰) = 1/2, then the value of θ in circular measure is :