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When the determinant |{:(cos2x,,sin^(2)...

When the determinant `|{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,cos^(2)x),(cos4x,,cos^(2)x,,cos 2x):}|` expanded in powers of sin x, then the constant term in that expression is

A

1

B

0

C

-1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-DETERMINANTS -Exercise (Single Option Correct Type Questions)
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  2. If f(x)=a+b x+c x^2 and alpha,beta,gamma are the roots of the equation...

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  3. When the determinant |{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,co...

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  4. If [] denotes the greatest integer less than or equal to the real numb...

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  5. The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to

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  6. If A , B ,C are angles of a triangles, then the value of e^(2i A)e^(-i...

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  7. If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...

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  8. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

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  9. if a(1)b(1)c(1), a(2)b(2)c(2)" and " a(3)b(3)c(3) are three-digit ev...

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  10. Expand | (4,8),(6,7)|

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  11. If x(1),x(2) "and" y(1),y(2) are the roots of the equations 3x^(2) ...

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  12. If |{:(.^(9)C(4),.^(9)C(5),.^(10)C(r)),(.^(10)C(6 ),.^(10)C(7),.^(11)C...

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  13. The value of the determinant |{:(1,sin(alpha-beta)theta,cos (alpha-be...

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  14. If f(x),g(x)andh(x) are three polynomials of degree 2 , then prove tha...

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  15. If f(x) =|{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),si...

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  16. if |{:(1,,1,,1),(a,,b,,c),(a^(3),,b^(3),,c^(3)):}|= (a-b)(b-c)(c-a)(a+...

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  17. Let a ,b , c in R such that no two of them are equal and satisfy |{:(...

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  18. What is 10% Equals to

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  19. If f(x)=ax^(2)+bx+c,a,b,c in R and eqation f(x)-x=0 has imaginary roo...

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  20. If the system of equtions 2x-y+z=0,x-2y+z=0, tx-y+2z=0 has infinitel...

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