1

JEE Main 2021 (Online) 25th February Morning Shift

Numerical

+4

-1

If the system of equations

kx + y + 2z = 1

3x $$-$$ y $$-$$ 2z = 2

$$-$$2x $$-$$2y $$-$$4z = 3

has infinitely many solutions, then k is equal to __________.

kx + y + 2z = 1

3x $$-$$ y $$-$$ 2z = 2

$$-$$2x $$-$$2y $$-$$4z = 3

has infinitely many solutions, then k is equal to __________.

Your input ____

2

JEE Main 2021 (Online) 24th February Morning Shift

Numerical

+4

-1

Let P = $$\left[ {\matrix{
3 & { - 1} & { - 2} \cr
2 & 0 & \alpha \cr
3 & { - 5} & 0 \cr
} } \right]$$, where $$\alpha $$ $$ \in $$ R. Suppose Q = [ q

If q

_{ij}] is a matrix satisfying PQ = kl_{3}for some non-zero k $$ \in $$ R.If q

_{23}= $$ - {k \over 8}$$ and |Q| = $${{{k^2}} \over 2}$$, then a^{2}+ k^{2}is equal to ______.Your input ____

3

JEE Main 2021 (Online) 24th February Morning Shift

Numerical

+4

-1

Let M be any 3 $$ \times $$ 3 matrix with entries from the set {0, 1, 2}. The maximum number of such matrices, for which the sum of diagonal elements of M

^{T}M is seven, is ________.Your input ____

4

JEE Main 2020 (Online) 6th September Evening Slot

Numerical

+4

-0

The sum of distinct values of $$\lambda $$ for which the
system of equations

$$\left( {\lambda - 1} \right)x + \left( {3\lambda + 1} \right)y + 2\lambda z = 0$$

$$\left( {\lambda - 1} \right)x + \left( {4\lambda - 2} \right)y + \left( {\lambda + 3} \right)z = 0$$

$$2x + \left( {3\lambda + 1} \right)y + 3\left( {\lambda - 1} \right)z = 0$$

has non-zero solutions, is ________ .

$$\left( {\lambda - 1} \right)x + \left( {3\lambda + 1} \right)y + 2\lambda z = 0$$

$$\left( {\lambda - 1} \right)x + \left( {4\lambda - 2} \right)y + \left( {\lambda + 3} \right)z = 0$$

$$2x + \left( {3\lambda + 1} \right)y + 3\left( {\lambda - 1} \right)z = 0$$

has non-zero solutions, is ________ .

Your input ____

Questions Asked from Matrices and Determinants (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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