Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

If equations a x^2+(p+2) x+10 q=0 and x^2+4 x+5=0 have a common root where a, p, q N and =(a+p+q) has the least value then:

Options

A=8
B=9
Ca+q+ 3 p + =4
Da+q+ 3 p + = 9 2

Correct answer

C. a+q+ 3 p + =4

Step-by-step solution

a 1 = p+2 4 = 10 q 5 =ka=k, p=4 k-2, q= k 2 For a, p, q to be natural number k=2 aligned & . (a+p+q) |_ least =2+6+1=9 & a+q+ 3 p + =2+1+ 1 2 + = 2 1- 1 2 =4 aligned

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