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Let an acute angled triangle with vertices A(x1,y1), B(x2,y2), C(x3,y3) in 1st quadrant. If x1, x2, x3 are in A.P. then y1, ,y2, y3 can be in
i) A.P.
ii) G.P.
iii) H.P.
iv) None.
What is A.P., G.P., H.P.? Please explain.
4 Answers
- Anonymous1 decade agoFavorite Answer
AP = Arithmetic Progression
GP = Geometric Progression
HP = Harmonic Progression
- 1 decade ago
y1, ,y2, y3 can be in any thing except A.P. because if they will be in A.P. then all three point will be in straight line so the triangle will not be formed.
in A.P. difference between any two consecutive terms are equal
in G.P. ratio any two consecutive terms are equal
H.P. is inverse of A.P.
e.g. if x,y,z are in A.P.
then y-x = z-y
if x,y,z are in G.P.
then y/x = z/y
if x,y,z are in H.P
then 1/x,1/y,1/z should be in A.P.
- Anonymous1 decade ago
1,A.P. andra pradesh 2G.P. ganga putra 3, H.P.himachal pradesh.
- Anonymous1 decade ago
It can be anything, what does your match book, worksheet, paper say?
