O is an centre of a circle. P is an external point of it at distance of 13 cm from O. The radius of the circle is 5 cm. Then the length of a tangent to the circle P upto the point of contact is
√194 cm
10 cm
12 cm
8 cm
If θ is acute angle and sin (θ + 18°) = 1/2, then the value of θ in circular measure is:
18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field?
9
10
6
8
D.
8
Let the required no of days be x.
18 Men = 36 Boys
1 Man = 2 Boys
∴ 24 Men = 48 Boys
According to the question,
M1D1H1 = M2D2H2
36 x 24 x 6 = (48 + 24) x (x) x 9
36 x 24 x 6 = 72 x 9 x (x)
If a(x + y) = b(x - y) = 2ab, the the value of 2(x2 + y2) is
2 (a2 - b2)
2(a2 + b2)
4(a2 - b2)
4(a2 + b2)
G is the centroid of the equilateral Δ ABC, if AB = 9 cm, then AG is equal to:
3 cm
6 cm
In the figure (not drawn to scale) given below, if AD = DC = BC and , then
then
is
32°
84°
64°
96°
The chord AB of a circle of centre O subtends an angle θ with the tangent at A to the circle. Then measure of
θ
90° - θ
90° + θ
2 (180° - θ)