AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT=75° and ∠BAC=45° and C being a point on the circle, then ∠ABC is equal to
(A) 40°
(B) 45°
(C) 60°
(D) 70°
G is the centroid of ΔABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively; then the length of AB (in cm) is?
(A) 11
(B) 10
(C) 10.5
(D) 9.5
The length of the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to:
(A) 4 cm
(B) 5 cm
(C) 6 cm
(D) 8 cm
In the given figure, DE‖BC and DE=1/3 BC if area of triangle ADE=20 sq. cm, then what is the area (in sq.cm) of the triangle DEC?
(A) 40
(B) 60
(C) 80
(D) 120
(A) 2 Days
(B) 18 Days
(C) 24 Days
(D) 6 Days
(A) 88
(B) 40
(C) 92
(D) 41
(A) 6000 sq.mtr.
(B) 12000 sq.mtr.
(C) 4500 sq.mtr.
(D) 18000 sq.mtr.
(A) 2:1
(B) 1:1
(C) 1:2
(D) 1:3
A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retrieves 36 m from the bank, he find that the angle is 30°. The breadth of the river is
(A) 15 m
(B) 18 m
(C) 16 m
(D) 11 m
The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is
(A) 6 m
(B) 8 √3 m
(C) 8 m
(D) 6√3 m
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