State True or False: The hour hand of a clock rotates through an angle radian in 2 hours.

Write a difference between the geometric angle and trigonometrical angle.

Radius of a circle is 7 cm. Find the angle in radians which is subtended by an arc of this circle of length 5.5 cm at the centre of the circle.

The difference of acute angles of a right angled triangle is 72°. Determine these acute angles in circular measure

Two unequal arcs of ratio 5 : 2 of a circle subtend angle at the centre. If the second angle is 30°, find the first angle in circular measure.

Write the magnitude of each angle of a cyclic parallelogram

The angle in the segment of a circle which is greater than a semicircle is acute or obtuse?

Find the number of direct common tangents of two circles which touch each other externally.

If the sum of the roots of the equation ax² + bx + ac = 0 ( a ≠ 0) is zero, then find b.

Find the ratio of the cost price and selling price of an article which is sold at 25% profit

If sinθ = √3 cosθ , Find the value of tanθ + cotθ

Length of diagonal of a cube is 3 √3 cm. Find the volume of the cube.