The three medians AD, BE and CF of a Δ ABC intersect at point G. If the area of Δ ABC is 60 cm2, then the area of the quadrilateral BDGF is
15 cm2
20 cm2
30 cm2
10 cm2
B.
20 cm2
Area of Δ BGD
∴ Area of quadrilateral BDGF
= 2 x Area of Δ BGD
= 2 x 10 = 20 cm2
P and Q are the midpoints of two chords (not diameter) AB and AC of a circle with center O. OP and OQ lines are extended to points S and R respectively, to touch the circle. In major arc T is another point between R and S. Then if ∠BAC = 32° then ∠RTS = ?
74°
106°
64°
32°
From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° respectively. The height of the tower is
60 m
75 m
30 m
45 m
A triangle is formed by the x-axis and the lines 2x + y = 4 and x - y + 1 = 0 as three sides. Taking the side along x-axis as its base, the corresponding altitude of the triangle is
3 units
√5 units
1 units
2 units
Side AB of rectangle ABCD is divided into four equal parts by points x, y, z. The ratio of the
is
1/6
1/9
1/8
1/7
The marked price of a shop keeper for an article is 30% higher than the cost price. If he sells the article allowing 10% discount to customers, then the gain percent will be
15
17
Two equal circles pass through each other's centre. If the radius of each circle is 5 cm, what is the length of the common chord?
5√3
10√3
5√3 / 2
5