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 Find whether the equation 3 $$(\sec^{2}\theta-\tan^{2}\theta)=5$$ is true or not ?
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 ΔABC, AB = AC and BA is produced to D such that AC = AD. Then the ∠BCD 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
If O is the circumcentre of triangle ABC and OD ⊥ BC, then ∠BOD must be equal to
The numerical value of $$\frac{1}{1+\cot^{2}\theta}+\frac{3}{1+\tan^{2}\theta}+2\sin^{2}\theta$$ is
The value of $$\frac{4}{1+\tan^{2}\alpha}+\frac{3}{1+\cot^{2}\alpha}+ \sin^{2}\alpha$$ is
