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Q.

If α,β are roots of the equation x2 - 5x + 6 = 0 then find the equation whose roots are α+ 3 and β+3

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a

x3 - 11x + 30 = 0

b

x2 + 11x + 30 = 0

c

x2 - 11x + 30 = 0

d

x2 - 11x - 30 = 0

answer is D.

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Detailed Solution

detailed_solution_thumbnail

x2−5x+6=0 gives x=2,x=3

Let α=2,β=3

Hence, the required equation is

x2−Sx+P=0x2−11x+30=0

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