For the following questions answer them individually
At an instant, the length of the shadow of a pole is , √3 times the height of the pole. The angle of elevation of the Sun at that moment is
If θ is positive acute angle and $$3 (sec^2 θ + tan^2 θ) = 5$$, then which one is true ?
Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle is
In a right-angled triangle ABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circumcircle of the triangle ABC is
If the circumradius of an equilateral triangle ABC be 8 cm, then the height of the triangle is
Two circles intersect at A and B. P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is