For the following questions answer them individually
The length of the tangent drawn to a circle of radius 4 cm from a point 5 cm away from the centre of the circle is
A cyclic quadrilateral ABCD is such that AB = BC, AD = DC, AC ⊥ BD, ∠CAD = θ. Then the angle ∠ABC =
The height of an equilateral triangle is 15 cm. The area of the triangle is
Two parallel chords of a circle, of diameter 20 cm lying on the opposite sides of the centre are of lengths 12 cm and 16 cm. The distance between the chords is
In ΔABC, DE || AC. D and E are two points on AB and CB respectively. If AB = 10 cm and AD = 4 cm, then BE : CE is
A, B and C are the three points on a circle such that the angles subtended by the chords AB and AC at the centre 0 are 90° and 110° respectively. LBAC is equal to
If the angles of elevation of a balloon from two consecutive kilometre-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be
Evaluate : 3 cos 80° cosec 10° + 2 cos 59° cosec 31°
$$(3\pi/5)$$ radians is equal to
If 2 sin θ cos θ = 1, then the value of tan θ + cot θ is
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