If a2% of b=b3% of c and c4% of a=b% of b, then the relation between a and b is
10000a5=b12
a9=b10
a12=b21
10000a14=b27
A
a9=b10
B
a12=b21
C
10000a14=b27
D
10000a5=b12
Open in App
Solution
Verified by Toppr
Given, a2% of b=b3 of c⇒a2100×b=b3100×c⇒a2b=b3c .....(i) c4% of a=b% of b
⇒c4100×a=b100×b
⇒c4a=b2 From (i), c=a2b2 Putting the value of c in(ii), we get
(a2b2)4×a=b2
⇒a8×ab8=b2
⇒a9=b10
Was this answer helpful?
6
Similar Questions
Q1
If a2% of b=b3% of c and c4% of a=b% of b, then the relation between a and b is
View Solution
Q2
If three non-zero vectors are a=a1i+a2j+a3k,b=b1i+b2j+b3k and c=c1i+c2j+c3k If c is the unit vector perpendicular to the vectors a and b and the angle between a and b is π6, then ∣∣
∣∣a1a2a3b1b2b3c1c2c3∣∣
∣∣2 is equal to
View Solution
Q3
Prove that ∣∣
∣
∣∣1+a2+a41+ab+a2b21+ac+a2c21+ab+a2b21+b2+b41+bc+b2c21+ac+a2c21+bc+b2c21+c2+c4∣∣
∣
∣∣=(a−b)2(b−c)2(c−a)2
View Solution
Q4
If a,b,c are real and a3+b3+c3=3abc and a+b+c≠0, then the relation between a,b,c will be:
View Solution
Q5
A,B,C are three square matrices of order n such that A=B+C and C is a nilpotent matrix with index 2. If B and C commute, then A10 is equal to