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in circle O , chords CD and AB intersect at right angles at E. if CE=8 and DE=6,  AE  = 24 What is the radius of circle.

 

aniket prajapati 30/10/2018 7:32 pm
wetg
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in a triangle ABC, AB=10, BC=14 and AC=18. and D lies on AC with BD=10. What is the ratio of AD:CD.

a)14:10

b)18:14

c)22:11

d)38:16

TG Team 30/10/2018 7:31 pm
IMG 20181030 192356
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Two circles each with radius 1 are inscribed so that their centers lie along the diagonal of square. Each circle is tangent to two sides of the square and they are tangent to each other. Find the area between the circles and the square.

a) 6+4sqrt2-2pie

b)10-2pie

c)4+2sqrt2 -2pie

d)8sqrt2-2 pie

 

aniket prajapati 30/10/2018 6:48 pm
area
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method
aniket prajapati 03/11/2018 11:52 pm

solution please

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In a right angle triangle AC = 1, Angle B = 90° and Angle A = 15°  Find the area of the triangle ABC.

 

 

1/4 square units 

1/8 square units 

aniket prajapati 05/11/2018 9:12 pm

 put value of cos15 and find height and base and then area

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What's the length of largest equilateral triangle that can be inscribed in an equilateral triangle of side length 1?

aniket prajapati 10/11/2018 12:51 pm

1/2 ?

TG Team 10/11/2018 4:45 pm
Untitled
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(3,-2), (12,4) and (-3,7) are the three vertices of a triangle. Then the distance between the orthocenter and circumcenter of this triangle is-

 

 

TG Team 10/11/2018 1:01 pm
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aniket prajapati 10/11/2018 1:08 pm

Sides are √117 √117 √234 which is a isosceles right angle triangle in which mid point of hypotenuse is orthocentre and point where right angle is formed is orthocentre so the distance becomes half of hypotenuse which is (1/2)*√234 gives √117/2 

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In a circle of radius r units, six points equally spaced are placed on the circumference. ΔABC is formed by joining three points such that ΔABC is neither isosceles nor equilateral. What is the area of ΔABC?

 

 

TG Team 10/11/2018 12:26 pm
Untitled
aniket prajapati 10/11/2018 12:28 pm
1541832897750422725522
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15428785067781851502506

Q44,Q45

aniket prajapati 23/11/2018 11:47 am

45.

If perimeter is given max area will be of equilateral traingle 

A= √3/4*(44/3)

Hence none of these 

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solution please
aniket prajapati 23/11/2018 1:43 pm
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0
A7C9BDD1 0354 41B7 8D7F 6E1AE42883F1

solution please

TG Team 23/11/2018 12:16 pm
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0
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solution please

TG Team 23/11/2018 12:17 pm
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askhelp
TG Team 02/12/2018 12:33 pm

PFA the solution : 

47388868 1925672994216989 3036140775571193856 o
TG Team 02/12/2018 12:33 pm

Inradius of a right angled triangle : 

[ sum of legs - hypotenuse ]/2 

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 - A boat, stationed at the North of a lighthouse, is making an angle of 30° with the top of the
lighthouse. Simultaneously, another boat, stationed at the East of the same lighthouse, is making an angle
of 45° with the top of the lighthouse. What will be the shortest distance between these two boats? The
height of the lighthouse is 300 feet. Assume both the boats are of negligible dimensions.
Options:
1) 300 feet
2) 600/√3 feet
3) 300√3 feet
4) 600 feet
5) None of the above

TG.Raman 11/12/2018 4:40 pm
Untitled

Boat stationed at C forms a 30-60 - 90 triangle (COA), Hence ratio of sides : 

AO : OC : AC = 1 : sqrt3 : 2 

OC = 300 sqrt 3 

Similarly boat stationed at East of the lighthouse forms a 45 - 45 - 90 triangle. 

Ratio of the sides  1 :1 : sqrt 2 
OB = 300

OA = Height of the light house 
C : Boat stationed at North  
B : Boat stationed at East

Shortest distance between boats : BC 

BC^2 = OC^2 + OB^2 

BC^2  = 300^2 +(300sqrt3)^2 

BC = 600. 

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