# Mensuration, Geometry & Co-ordinate Geometry

ABCD is a convex quadrilateral in which <(BAC) = <(CBD) = 30 deg, <(CAD) = 60 deg, <(CDB) = 15 deg. If E is the point of intersection of AC and BD, then measure of <(BEA) in degrees (is)

The area of a rectangle is 288 sq. m. How many such distinct rectangles are possible such that both the length (in m) and breadth (in m) are integers?

• None of these
• 8
• 9
• 10

0 voters

Triangle ABC has an area of (root3/4)a^2 where "a" is the length of side BC. Angle A is 30 degree. Find angle B and C ?

• 75,75
• 65,85
• 60,60
• 90,60

0 voters

ABCD is a trapezium with AB parallel to CD. AC is perpendicular to BC and BD is perpendicular to AD. If AD=BC=15cm and AB=25cm , find the area of the trapezium ABCD.

• Cannot be Determined
• 192 cm^2
• None of these
• 172 cm^2
• 232 cm^2

0 voters

In the given figure ABCD is a rectangle. P is any point inside the rectangle. Prove that

PA2 + PC2 = PB2 + PD2. This property is used to solve many problems . the numbers written beside PA,PB,PC,PD denote squares

find the ration of radius of biggest circle to smallest circle

In a rectangle PQRS five circles with same radius are inserted as shown in the figure.Find the ratio of the area of the rectangle to the area of the trapezium formed by joining all centres

ABC is a triangle given that angle B is equal to 2x and angle C is equal to x. AD is the angle bisector of angle A on line BC.Given that side AB=DC find angle BAC.

• None of these.
• 72
• 144
• 36

0 voters

hi guys..

came across this pblm in arun sharma..
the lateral side of an isosceles triangle is 15 and alt is 8cm..find the radius of the circumscribed circle..
anybody knows how to solve this pblm?
• 9.625
• 9.125
• 9.375
• 9.5

0 voters

a square of longest possible side is drawn inside the triangle ABC with one side of the square lying on the side BC.If AB=13,BC=21,AC=20 ,then find the side of the square ..

• 84/11
• 31/4
• 28/3
• 7

0 voters

The number of diagonals of a convex polygon is 65.what could be the maximum number of points of intersection of these diagonals in the interior of the polygon ?

• 650
• 715
• 585
• 845

0 voters

For a trapezium, S1 denotes the sum of the squares of the sides and S2 denotes the sum of the squares of the diagonals. S1 - S2 = 576. If the longer parallel side is 50 cm, the shorter parallel side is ?

• 30
• 26
• 22
• 18

0 voters

• 26
• 24
• 24.5
• 16

0 voters

AIMCAT problem....

• 2
• 1
• 4
• 3

0 voters

In triangle ABC there is a point D anywhere inside the triangle. such that AD=5 ,BD=9 & CD= 6 and angle ADB=60 degrees. the possible perimeter of the triangle will be

• 19
• 9
• 39
• 29

0 voters

Find the number of integral solutions for 6(x^2) -3xy -13x +5y +17 = 0

• 3
• 2
• 1
• 0

0 voters

The foot of a ladder is 15m long, is 9m from a house and its top reaches the upper part of a circular window. When the foot is drawn to a distance of 3m away from the house, the top reaches the lower edge of the window. Find the area of the window.

• 8(2/3)
• 5(2/3)
• 6
• 7(1/14)

0 voters

A brick wall is to be built 20m long, 3m high and 40cm thick. It has a door 3m by 2m. Suppose each brick is to be 15cm long, 7 1/2 cm broad and 5cm thick. How much will be the cost of the brick at the rate of Rs 800 per thousand bricks?

• 15,750
• 55,270
• 66,230
• 30,720

0 voters

In an isoceles right angled triangle ABC, angle B is right angle. Angle bisector of angle BAC is AN cut at M to the median BO. Point 'O' lies on the hypotenuse. OM is 20 cm, then the value of AB is?