Quadratic Equations — XAT Previous-Year Questions
3 previous-year questions on Quadratic Equations from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.
Quadratic Equations · XAT PYQs
Two different quadratic equations have a common root. Let the three unique roots of the two equations be A, B and C - all of them are positive integers. If (A + B + C) = 41 and the product of the roots of one of the equations is 35, which of the following options is definitely correct?
If x and y are real numbers, the least possible value of the expression 4(x - 2)2 + 4(y - 3)2 – 2(x - 3)2 is:
Devanand’s house is 50 km West of Pradeep’s house. On Sunday morning, at 10 a.m., they leave their respective houses.
Under which of the following scenarios, the minimum distance between the two would be 40 km?
Scenario I: Devanand walks East at a constant speed of 3 km per hour and Pradeep walks South at a constant speed of 4 km per hour.
Scenario II: Devanand walks South at a constant speed of 3 km per hour and Pradeep walks East at a constant speed of 4 km per hour.
Scenario III: Devanand walks West at a constant speed of 4 km per hour and Pradeep walks East at a constant speed of 3 km per hour.