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If x,y,z in R, then the value of determi...

If `x,y,z in R`, then the value of determinant
`|((5^(x)+5^(-x))^(2) , (5^(x)-5^(-x))^(2),1),((6^(x)+6^(-x))^(2),(6^(x)-6^(-x))^(2), 1),((7^(x)+7^(-x))^(2),(7^(x)-7^(-x))^(2),1)|` is

A

10

B

12

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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If x, y , in , R , then the value of the determinant A=[{:((5^x+5^(-x))^2,(5^x-5^(-x))^2,1),((6^x+6^(-x))^2,(6^x-6^(-x))^2,1),((7^x+7^(-x))^2,(7^x-7^(-x))^2,1):}] is

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SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2018-MULTIPLE CHOICE QUESTIONS
  1. If [(1,1),(-1,1)][(x),(y)]=[(2),(4)],then the values of x and y respec...

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  2. If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then verify tha...

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  3. If x,y,z in R, then the value of determinant |((5^(x)+5^(-x))^(2) , ...

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  4. The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

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  5. If (x(1),y(1)),(x(2),y(2)) and (x(3),y(3)) are the vertices of a trian...

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  6. Let A be a square matrix of order 3xx3" then "|5A|=

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  7. If f(x)={((sqrt(1+kx)-sqrt(1-kx))/x),((2x+1)/(x-1)):} if -1lexlt0 is c...

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  8. If cosy=xcos(a+y)" with "cosa!= +-1, then dy/dx is equal to

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  9. If f(x)=|cosx-sinx|," then "f^(1)(pi/6) is equal to

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  10. If y=sqrt(x+sqrt(x+sqrt(x+............oo))), m then dy/dx=

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  11. if f(x)={((log(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, t...

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  12. Approximate change in the volume V of a cube of side x metres caused b...

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  13. The maximum value of (1/x)^(x) is

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  14. f(x)=x^(x) has a stationary point at :

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  15. The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3...

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  16. int1/(1+e^(x))dx is equal to

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  17. int1/(sqrt(3-6x-9x^(2)))dx is equal to

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  18. int" e"^(sinx).((sinx+1)/(secx))dx is equal to

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  19. int(-2)^2 |x cos pi x|dx is equal to :

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  20. int(0)^(1)(dx)/(e^(x)+e^(-x)) is equal to

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