IPMAT Indore Quadratic Equations previous year questions

5 Quadratic Equations questions from IPMAT Indore 2023–2026 (Quantitative Ability), each with its answer and a step-by-step solution.

• Q1If x , y are real numbers and equations x²-12x+35=0 and x²+ax+105=0 have at least one common root, then the minimum…IPMAT Indore 2026 · Quantitative Ability · Quadratic Equations
• Q23If 8x²-2kx+k=0 is a quadratic equation in x , such that one of its roots is p times the other, and p , k are positive…IPMAT Indore 2025 · Quantitative Ability · Quadratic Equations
• Q25The difference between the maximum real root and the minimum real root of the equation (x²-5 )⁴+ (x²-7 )⁴=16 isIPMAT Indore 2024 · Quantitative Ability · Quadratic Equations
• Q18Let a_1,a_2,a_3 be three distinct real numbers in geometric progression. If the equations a_1x²+2a_2x+a_3=0 and…IPMAT Indore 2023 · Quantitative Ability · Quadratic Equations
• Q39If the harmonic mean of the roots of the quadratic ( 5+√2 )x²-bx+8+2√5=0 is 4, then the value of b isIPMAT Indore 2023 · Quantitative Ability · Quadratic Equations