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The number of distinct real roots of |(s...

The number of distinct real roots of `|(sinx, cosx, cosx),(cos x,sin x,cos x),(cos x,cos x,sin x)|=0` in the interval `-(pi)/4 le x le t (pi)/4` is

A

1

B

4

C

2

D

3

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
  1. If A=|{:(,5a,-b),(,3,2):}| and A adj A=A A^(T), then 5a+b is equal to

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  2. The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...

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  3. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

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  4. about to only mathematics

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  5. Let A be a 3xx3 matrix such that A^2-5A+7I=0 then which of the stateme...

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  6. If {:A=[(-4,-1),(3,1)]:}, then the determint of the matrix (A^2016-2A^...

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  7. The set of all values of lambda for which the system of linear equ...

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  8. if A=[(1,2,3),(2,1,-1),(a,2,b)] is a matrix satisfying A A'=9l(3,) fin...

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  9. if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| ...

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  10. If A=[(0,-1),(1,0)] , then which one of the following statements is n...

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  11. If A is a 3 x 3 matrix such that |5-adjA|=5 , then |A| is equal to ...

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  12. If |(x^2+x,x+1,x-2),(2x^2+3x-1,3x,3x-3),(x^2+2x+3,2x-1,2x-1)|=ax-12 t...

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  13. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

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  14. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

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  15. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

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  16. The number of values of k, for which the system of eauations: (k+1)x...

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  17. IF P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of 3xx3 matrix A and...

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  18. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

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  19. Let P and Q be 3xx3 matrices P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...

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  20. The number of values of k for which the linear equations 4x+ky+2...

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