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If alpha and beta are zeros of a quadrat...

If `alpha` and `beta` are zeros of a quadratic polynomial `4x^2+4x+1`, then find the quadratic polynomial whose zeros are `alpha^2+beta^2` and `2alpha beta`.

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AGRAWAL PUBLICATION-SAMPLE PAPER 12-EXERCISE
  1. Solve for x and y : = (3a)/x-(2b)/y= -5 and a/x+(3b)/y= 2,x,y!= 0.

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  3. If alpha and beta are zeros of a quadratic polynomial 4x^2+4x+1, then ...

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  9. A dice is thrown twice. What is the probability that 2 will not come u...

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  10. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at ...

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  11. Find th curved surface area of a right circular cone of height 15 cm a...

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  12. The outer and inner diameters of a circular ring are 34 cm and 32 cm r...

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  13. If 2 sin 2 theta = sqrt3, then find the vakue of theta.

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  14. If sin A =1/2 , cos B = 1, 0< A, Ble pi/2, then find the value of cot(...

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  15. Calculate the perimeter of a triangle XOY with vertices X(3,4), O(0,0)...

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  16. If r =3 is a root of quadratic equation kr^2- kr-3= 0 then find the va...

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  17. Find the degree of the polynomial (x+1) (x^2-x+x^4 -1).

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  18. Can two numbers have 18 as their LCM? Give reason to explain your answ...

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  19. Write the exponent of 3 in the prime factorisation of 1944.

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  20. Find the value of k for which the equation kx(x-2) +6 =0 has equal roo...

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