The lengths of one side of a rhombus and one of the two diagonals are 6 cm each. Find the area of the rhombus (in cm²). 

The centroid of a ∆ABC is G. The area of ∆ABC is 60 cm². The area of ∆GBC is

The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is

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

In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is 

The length of the intercept of the graph of the equation 9x – 12y = 108 between the two axes is 

O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If ∠POS=60⁰ and ∠QCR = 130°, then ∠RPS = ?

The x - intercept on the graph of 7x - 3y = 2 is :