Goodmarks

Mathematics · JEE

Online Practice: Evaluation of determinants for JEE

6+ syllabus-aligned questions available

Quick answer

Goodmarks provides free online JEE practice for Evaluation of determinants with 6+ MCQs, instant answer checking, and full solutions. Sign up to unlock the complete question bank and topic-wise filters.

Sharpen your mathematics preparation with interactive online practice for Evaluation of determinants. Goodmarks offers 6+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

Attempt 6 free MCQs for Evaluation of determinants. Unlock the full bank with Pro.

Unlock full bank
Q1MathsUnit 3: Matrices and Determinants
STATEMENT 1: In a ΔABC,a,b,c\Delta A B C, a, b, c denotes lengths of the sides and ∣abcbcacab∣=0\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⇒=0 \Rightarrow each number is zero.
Q2MathsUnit 3: Matrices and Determinants
tet⁡f(θ)=∣cos⁡θ2111cos⁡θ2−cos⁡θ2−cos⁡θ21−1∣\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(π)+f(−π)f(\pi)+f(-\pi) is equal to
Q3MathsUnit 3: Matrices and Determinants
Let⁡A=∣abcpqrxyz∣\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(A)=2 then the det.(B) equals, where B=∣4x2a−p4y2b−q4z2c−t∣\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∣x+1352x+2523x+4∣=0,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 x=?\boldsymbol{x}=?
Q5MathsUnit 3: Matrices and Determinants
If each row of a determinant of third order of value Δ\Delta is multipled by 3,3, then the value of new determinant is
Q6MathsUnit 3: Matrices and Determinants
∣1!2!3!2!3!4!3!4!5!∣=2016K\left|\begin{array}{ccc}1 ! & 2 ! & 3 ! \\ 2 ! & 3 ! & 4 ! \\ 3 ! & 4 ! & 5 !\end{array}\right|=2016 K then value of K\boldsymbol{K} is

Want unlimited Evaluation of determinants practice?

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

Get started freeView Pro plans

Popular questions in Evaluation of determinants

Frequently asked questions

How do I practice Evaluation of determinants online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Evaluation of determinants question bank with topic filters and detailed explanations.

How many Evaluation of determinants questions are available?

Goodmarks currently has 6+ JEE-aligned MCQs for Evaluation of determinants, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Evaluation of determinants.

Do I get solutions after each question?

Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.

Related topics