Home
Class 12
MATHS
If ^56 P(r+6):^(54)P(r+3)=30800 :1, find...

If `^56 P_(r+6):^(54)P_(r+3)=30800 :1,` find`r`

Text Solution

Verified by Experts

We have, `(.^(56)P_(r+6))/(.^(54)P_(r+3))=(30800)/(1)`
`implies(56)(55)(.^(54)P_(r+4))/(.^(54)P_(r+3))=(30800)/(1)` [from note (iii)]
`implies(.^(54)P_(r+4))/(.^(54)P_(r+3))=10`
`implies54-(r+4)+1=10` . . . . [from vote (v)]
`r=41`
`therefore.^(r)P_(2)=.^(41)P_(2)=41*40=1640`
Promotional Banner

Similar Questions

Explore conceptually related problems

Fine r if (i) ""^(5) P_(r) =2 ""^(6)P_(r-1) (ii) ""^(5) P_(r) = ""^(6)P_(r-1)

Find r, if 5""^(4)P_(r)=6""^(5)P_(r-1)

If .^(9)P_(5)+5.^(9)P_(4) =.^(10)P_(r) , then r equals

Find r if ""^(5)P_(r)=""^(6)P_(r-1)

Find r if ""^(5)P_(r)=2""^(6)P_(r-1)

Find r : ""^(5) P_(r) =42 ""^(6)P_(r-1)

If .^n P_r=^n P_(r+1) and .^n C_r=^n C_(r-1,) then the value of n+r is.

Let r_(1),r_(2),r_(3), . . .,r_(n) be the position vectors of points P_(1),P_(2),P_(3), . . .,P_(n) relative to an origin O. show that if then a similar equation will also hold good with respect to any other origin O'. If a_(1)+a_(2)+a_(3)+ . . .+a_(n)=0 .

In DeltaABC, let b=6, c=10and r_(1) =r_(2)+r_(3)+r then find area of Delta ABC.

Find the the indicated term of each Geometric, Progression (i) a_(1) = 9, r=1/3 , find a_(7) , (ii) a_(1) =-12, r=1/3 , find a_(6)