New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2019 · 10 Apr · Shift 2 · Q43

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2019 · 10 Apr · Shift 2 · Q43

Matrices and Determinants question

2019 · 10 Apr · Shift 2 · Q43

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

\lambda

be a real number for which the system of linear equations x + y + z = 6, 4x +

\lambda

y –

\lambda

z =

\lambda

– 2, 3x + 2y – 4z = – 5 has infinitely many solutions. Then

\lambda

is a root of the quadratic equation:

A
$\lambda$ 2 + $\lambda$ - 6 = 0
B
$\lambda$ 2 - $\lambda$ - 6 = 0
C
$\lambda$ 2 - 3 $\lambda$ - 4 = 0
D
$\lambda$ 2 + 3 $\lambda$ - 4 = 0

More from Matrices and Determinants

If the system of equations x + y + z = 5 x + 2y + 3z = 9 x + 3y + az = $β$ has infinitely many solutions, then $β - α$ equals -2019 · MCQ
Let d $\in$ R, and $A = - 2 15 4 + d (sin θ) + 2 (2 sin θ) - d (sin θ) - 2 d (- sin θ) + 2 + 2 d, θ \in [0, 2 π]$ …2019 · MCQ
The number of values of $θ \in$ (0, $π$ ) for which the system of linear equations x + 3y + 7z = 0 $-$ x + 4y + 7z = 0 (sin3 $θ$ )x + (cos2 $θ$ )y + 2z = 0. has a non-trival solution, is -2019 · MCQ
Let A = $2 b 1 b b^{2} + 1 b 1 b 2$ where b > 0. Then the minimum value of $\frac{d e t ( A )}{b}$ is -2019 · MCQ
Let A = $0 p p 2 q q - q r - r r .$ If AAT = I3, then $∣ p ∣$ is :2019 · MCQ
If the system of linear equations 2x + 2y + 3z = a 3x – y + 5z = b x – 3y + 2z = c where a, b, c are non zero real numbers, has more one solution, then :2019 · MCQ
If $a - b - c 2 b 2 c 2 a b - c - a 2 c 2 a 2 b c - a - b$ = (a + b + c) (x + a + b + c)2, x $e$ 0, then x is equal to :2019 · MCQ
If $B = 50 α 2 α 23 11 - 1$ is the inverse of a 3 × 3 matrix A, then the sum of all values of $α$ for which det(A) + 1 = 0,…2019 · MCQ