Home
Class 7
MATHS
{:("Column A",,,,"Column B"),(27. 2^(2^(...

`{:("Column A",,,,"Column B"),(27. 2^(2^(3^(4^(0^(1^(9)))))),,,(a),2),(28. (8^(0)-10^0)(2^(1)-2^2),,,(b),16),(29.(512)^(4//9),,,(c),256),(30. "If "3^(x-1)=3^(6-y)=27(,)"then "x^2+y^2,,,(d),1),(,,,(e),25),(,,,(f),1024):}`

Text Solution

Verified by Experts

The correct Answer is:
C
`to (c): 2^(2^(3^(9^(0^(1^0)))))=2^(2^(3^(9^(0^(1)))))=2^(2^(3^(1)))=2^8=256`
`to (a) : (8^0+10^0)(2^1-1^2)=(1+1)(2-1)=2xx1=2`
`to (e): (512)^(4//9)=(2^9)^(4//9)=2^4=16`
`to (e): 3^(x-1)=3^(6-y)=27`
`rArr 3^(x-1)=3^(6-y)=3^3`
` rArr x-1=6-y=3`
`rArr x-1 =3,6-y=3`
` rArr x=4,y=3`
`x^2+y^2=4^2+3^2=25`
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Assessment test Test -2|1 Videos

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Test-2|12 Videos

  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise ASSESSMENT TESTS (Test - 1) |23 Videos

Similar Questions

Explore conceptually related problems

{:("Column A",,,,"Column B"),(12. 100^(2^(3^(0^(10)))),,,(a),0),(13. (12^(0)-11^0)(3^(1)-1^3),,,(b),12),(14.(128)^(5//7),,,(c),32),(28. "If "5^x=25^y=625."then x^2-Y^2,,,(d),1),(,,,(e),100^2),(,,,(f),16):}

{:("Column A",,,,"Column B"),(21.(2^10/(2^(-10))),,,(a),1),(22. 6^18,,,(b),0),(23. "If "2^x=16."then "x,,,(c),(6^10)^8),(24. 5^@-6^@,,,(d),2^20),(,,,(e),4),(,,,(f),2^18xx3^18):}

{:("Column A",,,,"Column B"),(25. 5^5,,,(a),6^12),(26. 6^6xx6^6,,,(b),1),(27. "If "x^3=7^3."then "x,,,(c),5^5),(28. 2^(1^(2^(3))),,,(d),7),(,,,(e),(1)/(5^5)),(,,,(f),2):}

{:("Column" A ,, "Column" B), ((3x^(2) - 5)- (2x^(2) - 5 + y^(2)) ,, (a) x^(2) + xy + y^(2)) , (9x^(2) - 16y^(2) ,, (b) 2) , ((x^(3) - y^(3))/(x-y) ,, (c) (9x + 16y) (9x - 16y)) , ("The degree of " (x + 2) (x+3) ,, (d) x^(2) - y^(2)) , (,, (e) 1) , (,, (f) (3x + 4y) (3x - 4y)):}

((0.3)^(1/3)(1/27)^(1/4)(9)^(1/6)(0.81)^(2/3))/((0.9)^(2/3)(3)^(-1/2)(243)^(-1/4))=

If (2^(3))^(2)=4^(x), then 3^(x)=3(b)6(c)9(d)27

If 3^(2x-y)=3^(x+y)=sqrt(27), the value of y is a.(1)/(2) b.(3)/(4) c.(1)/(4) d.(3)/(2)

{:("Column" A ,, "Column" B), (225x^(2) - 625 y^(2) = ,, (a) 25(x-2) (x-2)), (x^(2) - x - y - y^(2) = ,, (b) 25(3x- 5y) (3x + 5y)), (x^(2) - x - y^(2) + y = ,, (x + y) (x - y- 1)), (25x^(2) - 100 x + 100 = ,, (d) (x - y) (x + y -1)), (,,(e) (x + y) (x + y - 1)):}