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If `alpha` and `beta` are the roots of the equation `3x^(2) - 6x + 1 = 0` form the equation whose roots are (i) `alpha^(2) beta, beta^(2) alpha` (ii) `2 alpha + beta, 2beta + alpha`

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FULL MARKS-ALGEBRA-Additional Questions Solved
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  2. Find the values of "a" and "b" given that p(x) = (x^2 + 3x+2) (x^2 - 4...

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  3. Find the other polynomial g(x), given that LCM, HCF and p(x) as (x - 1...

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  4. Divide (2x^(2) + x-3)/((x-1)^(2)) " by " (2x^(2) + 5x +3)/(x^(2)-1)

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  5. Simplify (x-3)/(x^(2)-x-6) + (2x-1)/(2x^(2) + 5x-3) - (2x +5)/(x^(2) +...

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  6. Find the square root of (6x^(2) + 5x - 6) (6x^(2) - x - 2) (4x^(2) + 8...

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  7. Solve: (5x)/(3x-3)+6/(x+2)=5/3

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  8. If m - nx + 28x^(2) + 12x^(3) + 9x^(4) is aperfect square, then find t...

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  9. If x^2+4x+a is a perfect square, find the value of "a" .

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  10. Solve (1)/(x+1) + (4)/(3x+6) = (2)/(3)

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  11. A two - digit number is such that product of its digits is 14. If ...

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  12. A rectangular field is 16 m long and 10 m wide. There is a path of uni...

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  13. If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0, f...

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  14. If alpha and beta are the roots of the equation 3x^(2) - 6x + 1 = 0 fo...

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  15. Find X and Y if X-Y = [(2,1),(4,3),(0,6)] and X+Y = [(12,13),(6,5),(4,...

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  16. Solve for x, y [(x^(2)),(y^(2))] +3 [(2x),(-3y)] = [(-5),(-18)]

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  17. If A=[3 2 0 1 4 0 0 0 5] , show that A^2-7A+10 I3=O .

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  18. Verify that(AB)^(T) = B^(T) A^(T) if A= [(2,3,-1),(4,1,5)] and B= [(1,...

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  19. Draw the graph of y=x^(2) and hence solve x^2-4x-5=0

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  20. Draw the graph of y = 2x^2 + x - 6 and hence solve 2x^2 + x - 10 = 0

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