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If P≡(1/xp,p);Q≡(1/xq,q);R≡(1/xr,r) where xk≠0,k=p,q,r belong to N,denotes the kth term of a harmonic progression,thena.Area(ΔPQR)={(p2q2r2)/2}√((p-q)2+(q-r)2+(r-p)2)b.ΔPQR is a right angled trianglec.the points P,Q and R are collineard.none of these

Menka Malguri , 13 Years ago
Grade 12th Pass
anser 1 Answers
Mera Andaaz

Last Activity: 4 Years ago

1/xp = a + ( p – 1)d
1/xq = a + ( q – 1)d
1/xr  = a + ( r – 1)d
 
Determinant  =  0
 |a + ( p – 1)d    p    1|
 |a + ( q – 1)d    q    1|     =    0
 |a + ( r – 1)d     r     1|
 
Therfore Answer is (c)

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