ABCDEF is a regular hexagon. Find the ration of areas of ACE and ABCDEF.
(d) none of these
In the given diagram, ABCD is a rectangle with AE= EF = FB. What is the ratio of the area of the triangle
CEF and the rectangle?
(a) 1 : 4
(b) 1 : 6
(c) 2 : 5
(d) 2 : 3
Parallel lines are drawn on a rectangular piece of paper. The paper is then cut along each of the line forming n identical strips, If the strips have the same ratio of length to width as the original paper this ratio is
(a) sq.rt(n) : 1
(b) n : 1
(c) n : 2
(d) n2 : 1
P, Q, R are points on a circle. PQ, QR, RP are tangents to another circle and the two circles are concentric.
Area of the outer circle is 48 sq.cm. Find the area of triangle PQR.
If <ABO = 25o and <ACO = 20o , then <x is
In triangle ABC, BC is 6sq.rt(2) cm. Then, the value of x is
(a) 6 + 3sq.rt(2) cm
(b) 6 - 3sq.rt(2) cm
(c) 3 + sq.rt(2) cm
(d) 3 - sq.rt(2) cm
If O is center and <AOB = 120o, then <ACB is
Each Circle of radius 1 cm, touchs each other. Then, the perimeter of rope in comparing the three circles is
(a) 2pi + 6
(b) 3pi+ 6
(c) 4pi + 6
(d) 6pi + 6
TriangleABC and TriangleACD are right angled triangle and AB = xcm, BC = y cm, CD = z cm and x X y = z and x, y and z has minimum integral value. Then, the area of ABCD is
In the figure given below, ABCD is a rectangle. Thr area of the isosceles right ABE = 7cm2 ; EC = 3(BE). Then, the area of ABCD (in cm2 ) is
In the figure given below, PQ = 4 units, PR = 6 units, PS = 3 units, RU = 5 units, QS = SR and QU is
extended till T such thet QU = UT = 4 units. O is the point of intersection of PS and SQU. Find the measure of side RT.
(a) sq.rt(14) cm
(b) 4 cm
(c) 3.5 cm
(d) 2sq.rt(3) cm
In the given figure, AD || BC, AO = 3 cm, OC = x - 3, BO 3x - 19, OD = x - 5. Then, the value of x is
(a) x = 8, 9
(b) x = 7, 8
(c) x = 8, 10
(d) x = 10, 12
In the given figure, <A = 80o, <B = 60o, <C = 2xo and <BOC = yo . BO and CO bisect angle B and C
respectively. Then the values of x and y respectively are
(a) 15o and 70o
(b) 10o and 160o
(c) 20o and 130o
(d) 20o and 125o
In the given figure, T and T’ are two tangents at B and C point on the circle and <BPC is80o, then <A is
P and Q be centers of two circle having radius 200cms. These circle intersect each other at some point A and B. Length of PQ is 250 cms. What will the angle AQP be?
(a) between 0 to 45
(b) between 0 to 30
(c) between 0 to 60
(d) between 0 to 75
There are 10 points on a straight line AB and 8 on another straight line AC none of them being point A. how many triangles can be formed with these points as vertices?
The interior angle of a regular polygon is 156 . How many diagonals does the polygon have ?