5 JEE Main 2013 Quadratic Equation previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2013 previous-year questions from the Quadratic Equation chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Quadratic Equation chapter hub.
If α and β are roots of the equation x²+p x+(3 p)/(4)=0, such that |α-β|=√(10), then p belongs to the set :
If the equations x 2 + 2 x + 3 = 0 and a x 2 + b x + c = 0 , a , b , c ∈ R , have a common root, then a : b : c i…
The real number k for which the equation, 2 x 3 + 3 x + k = 0 has two distinct real roots in [ 0 ,   1 ] belongs to
The values of ' a ' for which one root of the equation x²-(a+1) x+a²+a-8=0 exceeds 2 and the other is lesser than 2 , a…
If p and q are non-zero real numbers and α³+β³=-p, α β=q, then a quadratic equation whose roots are (α²)/(β), (β²)/(α)…