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If x ^((1)/(5)) = y ^((2)/(3)), then the...

If `x ^((1)/(5)) = y ^((2)/(3)),` then the realtion between x and y is :

A

` x = y ^(2)`

B

` y = y^(4)`

C

` x^(4) = y `

D

` x^(3) = y^(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
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KIRAN PUBLICATION-ALGEBRA-Test Yourself
  1. If x ^((1)/(5)) = y ^((2)/(3)), then the realtion between x and y is :

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  2. p and q are positive numbers satisfying 3 p + 2 pq = 4 and 5 q + ...

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  3. If a + b + c = 5 ,ab + bc + ca = 7 and abc = 3 find the value of (...

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  4. If (a)/(b+c) + (b)/(c+a) + (c )/(a+b)= 1 find (a^(2))/(b+c) + (b^(2))/...

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  5. If a + b + c = 0 then ( 2 a^(2))/( b^(2) + c^(2) - a^(2)) + ( 2b^(2)...

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  6. Resolve into factors : ( x - 1) ( x + 1) ( x + 3) ( x + 5) + 7

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  7. If a = 7 + 4 sqrt( 3) find the value of ( 3 a ^(6) + 2a ^(4) + 4a^...

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  8. What will be the angle between the lines y - x - 7 and sqrt (3 ) y...

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  9. What will be the point on the x- axis which is eduidistant from th...

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  10. What is the distance of the point (2 , 3) from the line 2 x + 3y +...

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  11. In what ratio, the line joining (-1, 1) and ( 5, 7) is divided by the...

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  12. A point R (h, k) divides a line segment between the axis in the rat...

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  13. What point on the x-axis are at a distance of 4 units from the line ...

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  14. In what ratio , the line joining (-1, 1) and ( 5, 7) is divide by t...

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  15. What will be the co-ordinates of centroid of a triangle whose vertices...

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  16. Find the area of the triangle formed by the straight lines 2 x + 3 ...

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  17. If x = ( sqrt( p + 2 q)+ sqrt(p - 2q))/( sqrt( p + 2 q) - sqrt( p - 2...

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  18. If x = ( sqrt( 3) + sqrt(2))/( sqrt(3) - sqrt(2)) and y = ( sqrt(3)...

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  19. If pq ( p - q) = 1 then the value of p^(3) - q^(3)- (1)/( p^(3) q^...

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  20. If 3 x + (3)/( 4x) = 6 then the value of 8 x ^(3) + (1)/( 8 x^(3))...

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  21. If (a^(3) + b^(3))/( c^(3)) = (b^(3) + c^(3))/( a^(3)) = (c^(3) + a^(...

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