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