Home
Class 12
MATHS
if a=xy^(p-1),b=xy^(q-1),c=xy^(r-1) show...

if `a=xy^(p-1),b=xy^(q-1),c=xy^(r-1)` show that `a^(q-r).b^(r-p).c^(p-q)=1`

Promotional Banner

Topper's Solved these Questions

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Multiple Choice Type Questions|14 Videos
  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|14 Videos
  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If the p^(th) , q^(th) and r^(th) terms of a G.P. are x , y , z respectively. then show that : x^(q-r) . y^(r-p).z^(p-q)=1

If a, b, c, be respectively the pth, qth and rth terms of a G.P., prove that a^(q-r).b^(r-p).c^(p-q) = 1

If p^(a)=q^(b)=r^(c ) and pqr=1 show that ab+bc+ca=0

If p+-a, q+- b, r+-c and abs((p,b,c),(a,q,c),(a,b,r)) = 0 show that p/(p-a)+q/(q-b)+r/(r-c)=2 .

If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.

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

The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectively. Show that (q-r) a+(r-p) b+(p-q)c = 0

Simply (a^(p)/a^(q))^(p+q-r).(a^(q)/a^(r ))^(q+r-p).(a^(r )/a^(p))^(r+p-q)

If A=((p,q),(0,1)) , then show that A^(8)=((p^(8),q((p^(8)-1)/(p-1))),(0,1))

If a, b, c be respectively the sums of p, q, r terms of an A.P., show that, (a)/(p)(q-r) + (b)/(q)(r-p) +(c )/(r )(p-q) = 0