For the following questions answer them individually
PQRST is a cyclic pentagon and PT is a diameter, then $$\angle$$PQR + $$\angle$$RST is equal to
If $$x=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$$ then $$x^{3} + \frac{1}{x^{3}}$$ is equal to
The distance between the centres of the two circles of radii r1, and r2 is d. They will touch each other internally if
ΔABC is an isosceles triangle with AB = AC = 10 cm, AD = 8 cm is the median on BC from A. The length of BC is
A point Q is 13 crn from the centre of a circle. The length of the tangent drawn from Q to a circle is 12 cm. The distance of Q from the nearest point of the circle is
ΔABC is a right angled triangle with AB = 6 cm, AC = 8 cm, ∠BAC = 90′. Then the radius of the incircle is
In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is
ΔABC is similar to ΔDEF. The ratio of their perimeters is 4 :1. The ratio of their areas is
The angle between the minute hand and hour hand of a clock when the time is 7:20 is equal to
The value of $$cos^2 30^{\circ} + sin^2 60^{\circ} + tan^2 45^{\circ} + sec^2 60^{\circ} + cos0^{\circ}$$ is
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