Determinants

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Q JEE MAIN 2019

The sum of the real roots of the equation $...

JEE Main Mathematics Medium

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Q JEE MAIN 2020

Suppose the vectors $x_1, x_2$ and $x_3$ are the solutions of the system of linear equations, $A x=b$ when the vector $b$ on the right...

JEE Main Mathematics Medium

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Q JEE MAIN_2021_

Let [ $\lambda$ ] be the greatest integer less than or equal to $\lambda$. The set of all values of $\lambda$ for which the system...

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Q JEE MAIN 2020

If the system of equations $$ \begin{aligned} & x-2 y+3 z=9 \\ & 2 x+y+z=b \end{aligned} $$ $x-7 y+a z=24$, has infinitely many solutions, then...

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Q JEE Main 2019

Let $d \in R$, and $$ A\left[\begin{array}{ccc} -2 & 4+d & (\sin \theta)-2 \\ 1 & (\sin \theta)+2 & d \\ 5 & (2 \sin...

JEE Main Mathematics Easy

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Q JEE MAIN 2020

The following system of linear equations
7x + 6y – 2z = 0
3x + 4y + 2z = 0
X – 2y – 6z...

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Q JEE MAIN 2019

The solution of the differential equation, $\frac{d y}{d x}=(x-y)^2$, when $y(1)=1$, is

JEE Main Mathematics Medium

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Q JEE MAIN 2020

If the system of equations
$$ \begin{aligned} & x+y+z=2 \\ & 2 x+4 y-z=6 \\ & 3 x+2 y+\lambda z=\mu \end{aligned} $$ has infinitely many...

JEE Main Mathematics Easy

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Q JEE-MAIN 2020

Let S be the set of all integer solutions, (x, y, z), of the system of equations
$$ \begin{aligned} & x-2 y+5 z=0 \\ &...

JEE Main Mathematics Easy

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Q JEE MAIN 2019

The integral $\int_{\pi / 6}^{\pi / 4} \frac{d x}{\sin 2 x\left(\tan ^5 \times \cot ^5 x\right)}$ equals :

JEE Main Mathematics Hard

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