For the following questions answer them individually
PQ is a direct common tangent of two circle of radii $$r_{1}$$Â and $$r_{2}$$Â touching each other externally at A. Then the value of PQ2 is
BC is the centre of the circle with centre O. A is a point on major arc BC as shown in the above figure. What is the value of $$\angle{BAC}+\angle{OBC}$$ ?
Two circles with radii 5cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, the AP : AQ is
If I is the In-centre of and <A = 60°, then the value of is -Â
The external bisectors of and of meet at point P. If = 80$$^{\circ}$$ , the is
When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx)
If x,y are positive acute angles, x + y < 90o and sin(2x -20o) = cos(2y + 20o), then the values of sec(x + y) is
$$5tan\theta = 4$$, then the value of $$(\frac{5sin\theta - 3cos\theta}{5sin\theta + 3cos\theta})$$ is
The least value of $$(4sec^2\theta + 9cosec^2\theta)$$ is
If tan(x + y)tan(x - y) = 1, then the value of $$tan(\frac{2x}{3})$$ is