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If alpha , beta are the roots of the equ...

If `alpha , beta` are the roots of the equation `1 + x + x^(2) = 0` , then the matrix product `[{:( 1 , beta) , (alpha , alpha):}] [{:(alpha , beta) , (1 , beta):}] ` is equal to

A

`[{:(1 , 1) , (1 , 2):}]`

B

`[{:(-1 , -1) , (-1 , 2):}]`

C

`[{:(1 , -1) , (-1 , 2):}]`

D

`[{:(-1 , -1) , (-1 , -2):}]`

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The correct Answer is:
B
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 02-MATHEMATICS
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  3. If alpha , beta are the roots of the equation 1 + x + x^(2) = 0 , then...

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  4. If the determinant |{:(x , 1 , 3) , ( 0 , 0 , 1) , (1 , x , 4):}|=0 ,...

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  5. The value of the determinant |{:(1 , x , x+ z) , (1 , y , z + x) , (...

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  6. If the matrix B be the adjoint of the square matrix A , l be the ident...

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  7. If the system of equation : x + y + z = 0 , 2 x + 3y + 4z = 0 , kx + ...

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  8. The value of sin 10^(@) + sin 20^(@) + sin 30^(@) + …. + sin 360^(@) i...

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  9. If A + B+ C = 3 pi//2 , then the value of cos 2 A + cos 2 B + cos2 C...

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  10. If (sin (x + y))/(sin (x -y)) = (a + b)/(a - b) , then the value of (...

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  11. The value of (sin^(2) 3 A)/(sin^(2) A) - (cos^(2) 3 A)/(cos^(2) A) is ...

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  12. If sin^(-1) ((2a)/(1 +a^(2))) + sin^(-1) ((2b)/(1 + b^(2))) = 2tan^(-1...

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  13. If in a DeltaABC a + c = 2b , then the value of cot""(A)/(2) * cot""(...

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  14. A flag- staff 6 metre high is placed on the top of a tower . The flag-...

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  15. The equation ax + by + c =0 represents a straight line

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  16. The equation of the line passing through (-1 , -2) and having a slope ...

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  17. The angle between the lines x cos alpha + y sin alpha = a and x sin be...

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  18. The co-ordinates of the centre and the radius of the circle x^(2) + y^...

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  19. The equation x^(2) + y^(2) + 2gx + 2 fy + c = 0 represents a circle o...

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  20. The length of the latus rectum of the ellipse 25x^(2) + 4y^(2) = 100 ,...

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