'The total surface area of a cube is 600 sq cm, what will be the length of its diagonal?

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

Let ΔABC ∼ Δ PQR and ar(∆ABC)/ar(∆PQR) =4/25. If AB = 12 cm, BC = 8 cm and AC = 9 cm, then QR is equal to:

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

Let ABC be an equilateral triangle and AX, BY, CZ be the altitudes. Then the right statement out of the four given responses is

A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:

In a circle, O is the centre of the circle. Chords AB and CD intersect at P. If ∠AOD=32° and <COB = 26°, then the measure of ∠APD lies between:

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then.