# Mensuration, Geometry & Co-ordinate Geometry

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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)
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Points P, Q and R are marked on the sides BC, CA and AB of △ABC such that BP

is one-third of BC, CQ is one-fourth of CA and AR is one-fifth of AB. The ratio of area

of quadrilateral ARPQ to the area of △ABC is ;

17:30
13;24
2:3
7:12
harshita

Well in picture full question could not come but everything is given in picture and we have to find radius of S1 OR S2 BOTH having same radius...

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@mayur_aroraIIM Bangalore  ·  9,275 karma

@akhileshchand90 Same thoughts.

@saumynavit1  ·  110 karma

since bode is a square angle oeb would be 45 degree hence beg would definitely be less then that

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Kindly help me with this question!!

4/5
5/8
6/11
5/7

Hey guys can you solve this question 15?

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Water flows at the rate of 10 m /min from a cylindrical pipe of diameter 5mm. Find the time taken to fill a conical tank whose diameter at the surface is 40 cm and depth 24 cm

50
102.4
51.2
25.6

A circle is drawn inside a trapezium such that it touches all the four sides of the trapezium. The line joining the midpoints of the non-parallel sides divides the trapezium in two parts with areas in the ratio 3 : 5. If the lengths of the non-parallel sides are 6 cm and 10 cm, then what is the ratio of the length (in cm) of the smaller side to the longer parallel sides of the trapezium?

A) 3:4

B)1:2

C)1:3

#mentalblock stuck at it. Please yelp

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A person wishes to make a 100sqm. rectangular garden. since he has only 30m barbed wire for fencing, he fences only 3 sides letting the house wall act as 4th side. The width of garden could be?

@scrabbler  ·  35,736 karma

You could create a quadratic and solve, but simpler to just do trial and error. Either you make 5, 20, 5 or 10, 10, 10 as the 3 sides since 5x20 or 10x10 gives 100.

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@nitinkindo  ·  0 karma

it should be 5 not 10 because if we consider 10m as width then the shape of the garden will become a square

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Hi ! can anyone help me with this ques.

Q. A wire is in the form of circle of radius 35cm. If it is bent into shape of a rhombus, then what is the side of rhombus?

@nitinkindo  ·  0 karma

55

@priya_puja  ·  0 karma
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Plz solve this ....Thanks in advance

QUE:- AD is median in triangle ABC, and G is Centroid. If area of triangle ABC is 90cm square. Find the area of triangle BGD???