The free JEE Advanced Maths diagnostic

6 questions, about 5 minutes. We name the exact JEE Advanced misconception losing you marks -- not “you need more practice”, the specific pattern -- and point you at the targeted lesson that fixes it.

No signup needed. Designed around JEE Advanced. Class 11 and Class 12.

JEE Advanced Maths Diagnostic: Matrices & DeterminantsQuestion 1 of 6

Consider the system

x + 2y = 3, \qquad 2x + 4y = 6.

The determinant of the coefficient matrix $\begin{pmatrix} 1 & 2 \\ 2 & 4 \end{pmatrix}$ is $0$ .

How many solutions does the system have?

Infinitely many — the second equation is just twice the first

None — a zero determinant means the system cannot be solved

Exactly one

Exactly two