IPMAT IndoreAlgebra > Hard2103✅ Correct Option: 2Related questions:IPMAT Indore 2026If x,yx, yx,y are real numbers and equations x2−12x+35=0x^2 - 12x + 35 = 0x2−12x+35=0 and x2+ax+105=0x^2 + ax + 105 = 0x2+ax+105=0 have at least one common root, then the minimum possible value of y2+4y−5ay^2 + 4y - 5ay2+4y−5a is ___IPMAT Indore 2023If the harmonic mean of the roots of the equation (5+2)x2−bx+8+25=0(5 + \sqrt{2}) x ^ 2 - bx + 8 + 2\sqrt{5} = 0(5+2)x2−bx+8+25=0 is 444 then the value of bbb isIPMAT Indore 2025If 8x2−2kx+k=08x^2 - 2kx + k = 08x2−2kx+k=0 is a quadratic equation in xxx, such that one of its roots is ppp times the other, and p,kp, kp,k are positive real numbers, then kkk equals