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For how many values of x in the closed i...

For how many values of x in the closed interval [-4, -1], the matrix `[(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)]` is singular ?

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. The value of the determinant |(5^(2),5^(3),5^(4)),(5^(3),5^(4),5^(5))...

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  2. If A=|(-1,2,4),(3,1,0),(-2,4,2)|and B=|(-2,4,2),(6,2,0),(-2,4,8)|, the...

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  3. For how many values of x in the closed interval [-4, -1], the matrix [...

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  4. [(7,1,2),(9,2,1)]xx[(3),(4),(5)]+2[(4),(2)] is equal to the matrix-

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  5. If C=2cos theta, then the value of the determinant D=|(C,1,0),(1,C,1)...

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  6. If A=[(3,4),(5,7)], then the value of A(adjA) is equal to -

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  7. The value of the determinant |((1)/(a),1,bc),((1)/(b),1,ca),((1)/(c),...

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  8. If [(x+y,2x+z),(x-y,2z+w)]=[(4,7),(0,10)] then the values of x, y, z a...

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  9. The matrix [(2,lambda,-4),(-1,3,4),(1,-2,-3)] is non-singular if -

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  10. The domain of defination of the function f(x) =sqrt((sqrt(x+1))/(sqrtx...

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  11. The period of the function sin^(4)x+cos^(4)x is -

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  12. The range of the function f(x)=""^(9-x)P(x-1) is -

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  13. Roots of the equation 3x^2 -6x+4=0 are alpha and beta then find the ...

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  14. On a multiple choice examination with 4 possible answers for each of 6...

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  15. The distance of the point (3, -4, 2) from the plane vecr*(3hati-6hatj+...

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  16. The coordinates of the point where the line through the points (2, -3,...

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  17. The equation of the plane passing through the point (1, -2, 3) and per...

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  18. The acute angle between the straight lines whose direction numbers ar...

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  19. The vector equation of the plane passing through the point (1, -1, 2) ...

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  20. If the vectors veca= 3x hati+4y hatj-12hatk and vecb=3x hati-4y hatj+1...

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