Home
Class 12
MATHS
The value of the determinant |(bc,ca,ab)...

The value of the determinant `|(bc,ca,ab),(p,q,r),(1,1,1)|`, where a, b and c respectively the pth,qth and rth terms of a H.P. is

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate Delta=|{:(1,a,bc),(1,b,ca),(1,c,ab):}|

The sum of first p,q and r terms of an AP are a,b and c respectively . Show that (a)/p(q-r)+b/q(r-p)+c/r(p-q)=0

ABC is a triangle and through A, B, C lines are drawn parallel to BC, CA and AB respectively intersecting at P, Q and R. Prove that the perimeter of DeltaPQR is double the perimeter of DeltaABC.

If the centroid of tetrahedron OABC where A,B,C are given by (a,2,3),(1,b,2) and (2,1,c) respectively is (1,2,−2), then distance of P(a,b,c) from origin is

Answer each question by selecting the proper alternative from those given below each question so as to make each statement true : If pth and rth terms of an AP are a,b and c respectively. then a(q-r)+b(r-p)+c(p-q)

Sum of the first p,q and r terms of an A.P. are a, b and c, respectively. Prove that, (a)/(p) (q-r) + (b)/(q) (r-p) + (c )/(r ) (p-q) = 0

Prove that: {:|(1,a, a^2-bc), (1,b,b^2-ca),(1,c,c^2-ab)|:}=0

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that a(q-r)+b(r-p)+c(p-q)=0