The value of (tan²60° + sin²45°) is_______.

If the sum of the zeroes of the quadratic polynomial kx² + 2x + 3k is equal to their product, then k equals.

The chord of a circle of radius 10 cm, subtends a right angle at its centre. The length of the chord (in cm) is

The corresponding sides of two similar triangles are in the ratio 3 : 4, then the ratios of the area of triangles is_______.

Value of the roots of the quadratic equation, x² – x – 6 = 0 are_____.