Mathematics · JEE

Evaluation of determinants Mock Test for JEE

4+ syllabus-aligned questions available

Quick answer

A Evaluation of determinants JEE mock test on Goodmarks lets you attempt 4+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

Simulate exam conditions with a Evaluation of determinants mock test. Attempt 4+ timed MCQs, check your score instantly, and review every solution to close gaps before the real exam.

Free sample questions

Attempt 4 free MCQs for Evaluation of determinants. Unlock the full bank with Pro.

Unlock full bank

Q1MathsUnit 3: Matrices and Determinants

STATEMENT 1: In a

\Delta A B C, a, b, c

denotes lengths of the sides and

\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|=\mathbf{0}

then the triangle is equilateral triangle. STATEMENT 2: Sum of three non- negative numbers

=0 \Rightarrow

each number is zero.

Q2MathsUnit 3: Matrices and Determinants

\operatorname{tet} f(\theta)=\left|\begin{array}{ccc}\cos \frac{\theta}{2} & 1 & 1 \\ 1 & \cos \frac{\theta}{2} & -\cos \frac{\theta}{2} \\ -\cos \frac{\theta}{2} & 1 & -1\end{array}\right|

f(\pi)+f(-\pi)

is equal to

Q3MathsUnit 3: Matrices and Determinants

\operatorname{Let} A=\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{p} & \boldsymbol{q} & \boldsymbol{r} \\ \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z}\end{array}\right|

and suppose that det.

(A)=2

then the det.(B) equals, where

\boldsymbol{B}=\left|\begin{array}{ccc}\mathbf{4} \boldsymbol{x} & \mathbf{2} \boldsymbol{a} & -\boldsymbol{p} \\ \mathbf{4} \boldsymbol{y} & \mathbf{2} \boldsymbol{b} & -\boldsymbol{q} \\ \boldsymbol{4} \boldsymbol{z} & \boldsymbol{2} \boldsymbol{c} & -\boldsymbol{t}\end{array}\right|

Q4MathsUnit 3: Matrices and Determinants

f\left|\begin{array}{ccc}\boldsymbol{x}+\mathbf{1} & \mathbf{3} & \mathbf{5} \\ \mathbf{2} & \boldsymbol{x}+\mathbf{2} & \mathbf{5} \\ \mathbf{2} & \mathbf{3} & \boldsymbol{x}+\mathbf{4}\end{array}\right|=\mathbf{0},

then

\boldsymbol{x}=?

Want unlimited Evaluation of determinants practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

How long should a Evaluation of determinants mock test take?

For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

What is a good score on a Evaluation of determinants mock test?

Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

Does Goodmarks score mock tests automatically?

Yes. Each MCQ is scored instantly with the correct answer and explanation shown after submission.

Can I retake the same mock test?

Pro users can generate new question sets by topic. Reattempting the same questions after a gap is excellent for retention.