CAT 2007: Quantitative Questions a Day 134 till the end - The Discussions

[vineet.nitd]

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Quantitative Question # 185
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A right circular cone has base radius 1. The vertex is V. C is a point on the circumference of the base. The distance VC is 3. A particle travels from C around the cone and back by the shortest route. Its minimum distance from V is
(1) 5/4 (2) 2 (3) 5/3 (4) 3/2 (5) None of the foregoing

[vineetvijay]

Originally Posted by vineet.nitd

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Quantitative Question # 185
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A right circular cone has base radius 1. The vertex is V. C is a point on the circumference of the base. The distance VC is 3. A particle travels from C around the cone and back by the shortest route. Its minimum distance from V is
(1) 5/4 (2) 2 (3) 5/3 (4) 3/2 (5) None of the foregoing

vineet bhai question smajh nahi aaya..when u say distance VC is 3,it has to be shortest straight line distance from V to C...toh phir yeh minimum distance ka matlab kya hua from V??Plz explain???

[sandeep jha]

Originally Posted by vineetvijay

vineet bhai question smajh nahi aaya..when u say distance VC is 3,it has to be shortest straight line distance from V to C...toh phir yeh minimum distance ka matlab kya hua from V??Plz explain???

sahi yaar....kuch clear nahi hua!! does the particle take the path only on the circumference of the base?? if yes then only VC can be the min.!! or C takes path on the surface of the cone also??

[doomsayer]

Originally Posted by vineet.nitd

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Quantitative Question # 185
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A right circular cone has base radius 1. The vertex is V. C is a point on the circumference of the base. The distance VC is 3. A particle travels from C around the cone and back by the shortest route. Its minimum distance from V is
(1) 5/4 (2) 2 (3) 5/3 (4) 3/2 (5) None of the foregoing

is the ans 3/4 go with option(e)

[doomsayer]

Originally Posted by vineetvijay

vineet bhai question smajh nahi aaya..when u say distance VC is 3,it has to be shortest straight line distance from V to C...toh phir yeh minimum distance ka matlab kya hua from V??Plz explain???

U have to find the shortest distance from V to the shortest route

[vineet.nitd]

Originally Posted by sandeep jha

sahi yaar....kuch clear nahi hua!! does the particle take the path only on the circumference of the base?? if yes then only VC can be the min.!! or C takes path on the surface of the cone also??

Not the base circumference neessarily .

Ok think what happens when you cut the cone along the line VC,where C is on the circumference.

Can you imagine a sector of a circle?

What path should the particle choose?

[sandeep jha]

@Vinnet.....
when the particle takes the path on the surface, will it be a parabola or sector of a circle??
still struggling...

[vineet.nitd]

Originally Posted by sandeep jha

@Vinnet.....
when the particle takes the path on the surface, will it be a parabola or sector of a circle??
still struggling...

It will be a straight line.

Consider that after being cut, the other end of point C is C'.Then CC' is a straightline nd also the shortest path along which the particle moves.

[aravindva]

Originally Posted by vineet.nitd

Not the base circumference neessarily .

Ok think what happens when you cut the cone along the line VC,where C is on the circumference.

Can you imagine a sector of a circle?

What path should the particle choose?

didn't understand anything vineet
a sector of circle?? how come?

[v-factor]

Originally Posted by aravindva

didn't understand anything vineet
a sector of circle?? how come?

if u cut a cone along any line joining its vertex and a point on its circumference and then spread it out it forms a sector