NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...
1

WB JEE 2022

MCQ (Single Correct Answer)
English
Bengali

The solution of $$\det (A - \lambda {I_2}) = 0$$ be 4 and 8 and $$A = \left( {\matrix{ 2 & 2 \cr x & y \cr } } \right)$$. Then

(I2 is identity matrix of order 2)

A
$$x = 4,y = 10$$
B
$$x = 5,y = 8$$
C
$$x = 3,y = 9$$
D
$$x = - 4,y = 10$$

সমীকরণ $$\det (A - \lambda {I_2}) = 0$$ এর সমাধান হল 4 ও 8 এবং $$A = \left( {\matrix{ 2 & 2 \cr x & y \cr } } \right)$$ । তবে

(I2 হল 2 মাত্রার একসম ম্যাট্রিক্স)

A
$$x = 4,y = 10$$
B
$$x = 5,y = 8$$
C
$$x = 3,y = 9$$
D
$$x = - 4,y = 10$$
2

WB JEE 2022

MCQ (Single Correct Answer)
English
Bengali

If $$A = \left( {\matrix{ 1 & 1 \cr 0 & i \cr } } \right)$$ and $${A^{2018}} = \left( {\matrix{ a & b \cr c & d \cr } } \right)$$, then $$(a + d)$$ equals

A
1 + i
B
0
C
2
D
2018

যদি $$A = \left( {\matrix{ 1 & 1 \cr 0 & i \cr } } \right)$$ ও $${A^{2018}} = \left( {\matrix{ a & b \cr c & d \cr } } \right)$$ হয়, তবে $$(a + d)$$ এর মান হবে

A
1 + i
B
0
C
2
D
2018
3

WB JEE 2022

MCQ (Single Correct Answer)
English
Bengali

If $$p = \left[ {\matrix{ 1 & \alpha & 3 \cr 1 & 3 & 3 \cr 2 & 4 & 4 \cr } } \right]$$ is the adjoint of the $$3 \times 3$$ matrix A and det A = 4, then $$\alpha$$ is equal to

A
4
B
11
C
5
D
0

যদি $$p = \left[ {\matrix{ 1 & \alpha & 3 \cr 1 & 3 & 3 \cr 2 & 4 & 4 \cr } } \right]$$, $$3 \times 3$$ ম্যাট্রিক্স A এর adjoint ম্যাট্রিক্স হয় এবং det A = 4 হয় তবে $$\alpha$$ এর মান হবে

A
4
B
11
C
5
D
0
4

WB JEE 2022

MCQ (Single Correct Answer)
English
Bengali

If $$\Delta (x) = \left| {\matrix{ {x - 2} & {{{(x - 1)}^2}} & {{x^3}} \cr {x - 1} & {{x^2}} & {{{(x + 1)}^3}} \cr x & {{{(x + 1)}^2}} & {{{(x + 2)}^3}} \cr } } \right|$$, then coefficient of x in $$\Delta$$x is

A
2
B
$$-$$2
C
3
D
$$-$$4

যদি $$\Delta (x) = \left| {\matrix{ {x - 2} & {{{(x - 1)}^2}} & {{x^3}} \cr {x - 1} & {{x^2}} & {{{(x + 1)}^3}} \cr x & {{{(x + 1)}^2}} & {{{(x + 2)}^3}} \cr } } \right|$$ হয়, তবে $$\Delta$$x -এ x পদের সহগ হবে

A
2
B
$$-$$2
C
3
D
$$-$$4

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12