AB^2 = 2^2 +1^2 = 5akpareek wrote:In triangle ABC, the co-ordinates of A, B and C are (4,3), (6,2) and (T,-3) respectively and triangle is right angled at A. Find T.
A. 11
B. 8/5
C. -5/8
D. -6
E. -11
akpareek wrote:In triangle ABC, the co-ordinates of A, B and C are (4,3), (6,2) and (T,-3) respectively and triangle is right angled at A. Find T.
A. 11
B. 8/5
C. -5/8
D. -6
E. -11
ajith wrote:AB^2 = 2^2 +1^2 = 5akpareek wrote:In triangle ABC, the co-ordinates of A, B and C are (4,3), (6,2) and (T,-3) respectively and triangle is right angled at A. Find T.
A. 11
B. 8/5
C. -5/8
D. -6
E. -11
AC ^2 = (4-T)^2 + 6^2 = (4-T)^2 + 36
BC^2 = (6-T)^2 + 5^2 = (6-T)^2 + 25
AB^2+AC^2 = BC^2 =>
(6-T)^2 + 25 = (4-T)^2 + 36 +5
(6-T)^2 - (4-T)^2 = 16
(6-T - (4-T)) (6-T+4-T) = 16
2*(10-2T) = 16
10-2T =8
T =1 [spoiler]{at least that is what I got}[/spoiler]
any perpendicular to x-y = 1 can be expressed as x+y = t (product of the slopes is -1)akpareek wrote:Thanks ajith !
Atleast i came to know that the way i was trying to solve this problem was right.
The problem is with options.
I have one more problem.. i hope u ll help me again.
At what point on line x-y=3 does a perpendicular drawn from the line x-y=1 at point (3,2) intersect ?
A. (4,1)
B. (1,4)
C. (1,3)
D. (1,2)
E. (3,1)
slope of AB = (3-2)/(4-6) = -1/2akpareek wrote:In triangle ABC, the co-ordinates of A, B and C are (4,3), (6,2) and (T,-3) respectively and triangle is right angled at A. Find T.
A. 11
B. 8/5
C. -5/8
D. -6
E. -11
if the point lies on X-Y=3, it should satisfy the condition. In the answer choices, only A satisfies the condition.At what point on line x-y=3 does a perpendicular drawn from the line x-y=1 at point (3,2) intersect ?
A. (4,1)
B. (1,4)
C. (1,3)
D. (1,2)
E. (3,1)
akpareek wrote:Thanks ajith !
Atleast i came to know that the way i was trying to solve this problem was right.
The problem is with options.
I have one more problem.. i hope u ll help me again.
At what point on line x-y=3 does a perpendicular drawn from the line x-y=1 at point (3,2) intersect ?
A. (4,1)
B. (1,4)
C. (1,3)
D. (1,2)
E. (3,1)
harshavardhanc your approach is very good for this question and will really help to solve problems faster in actual GMAT exam.harshavardhanc wrote: if the point lies on X-Y=3, it should satisfy the condition. In the answer choices, only A satisfies the condition.
yes, you are absolutely correct. A method will be required to actually "solve" these questions which are better framed than this one. The general approach will come in handy there.shashank.ism wrote:harshavardhanc your approach is very good for this question and will really help to solve problems faster in actual GMAT exam.harshavardhanc wrote: if the point lies on X-Y=3, it should satisfy the condition. In the answer choices, only A satisfies the condition.
Well I have given solution with general approach..if in case two or more cases satisfies the line X-Y=3(though its not the case here..
