Ft dbt3

Q1 If point moves insdie equilateral triangle of side length 3 unit such taht it is nearer to the angle bisectors of the triangle than to any sides.then calculate area traced by point P

Q2 Let L1=y/b +z/c ;x=0
L2=x/a -z/c ;y=0 are two lines .Aslo 2d is shortest distance b/w lines L1 and L2.Then
a)plane containing L1 and parpallel to L2 is unique
b)eqn of plane containing L1 and parallel to L2 is given by x/1 -y/b -z/c +1=0
c)1/a2+1/b2 +1/c2 =1/d2
d)1/a2+1/b2 +1/c2 =d2

**plz dont post BT solns..i am looking for somethign diff

6 Answers

1
Che ·

1)teh resultant region which i m getting is a regular hexagon of side length .634 so area getting as 1.044

24
eureka123 ·

dont calculate that much precisely..i ahve ans as

9√32(3-13+1)

1
akari ·

che's answer is half given by eureka

1
Che ·

the green region is the required region

can u find the area?

may be i made a mistake in finding the area

its actually a regular hexagon....though may be not looking like a regular one in fig

4
UTTARA ·

Using similarity of triangle ABC & ADE

(3/√3 + s )/ (3√3/2) = s/(3/4)

s = √3/(2√3 - 1)

Area of Hexagon = 6 x √3 / 4 x (s)2 = 9√3 /[ 2 (13 - 4√3) ]

4
UTTARA ·

Ans is same or not?? The denominator is differing i guess

Where's the mistake??

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