If A- - 1 x x2 4y - B - - -3 1 1 0 - and adj A -B- 1 0 0 1 - - then the values of x and y are respectively

If $A = ⎡ ⎢ ⎣ \begin{matrix} 2 & 0 & 1 1 & 1 & 0 2 & 1 & 1 \end{matrix} ⎤ ⎥ ⎦$ and $a d j A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & - 1 x & y & z - 1 & - 2 & 2 \end{matrix} ⎤ ⎥ ⎦$ then $(x, y, z)$

Q. If the coordinates of the vertex and the focus of a parabola are (−1, 1) and (2, 3) respectively, then the equation of its directrix is
(a) 3x + 2y + 14 = 0
(b) 3x + 2y − 25 = 0
(c) 2x − 3y + 10 = 0
(d) none of these.

Q. If A

(- 2, - 1)

, B

(a, 0)

, C

(4, b)

and D

(1, 1)

are the vertices of a parallelogram, then the values of

a

and

b

respectively are

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If A=[1xx24y],B=[−3110] and adj(A)+B=[1001], then the values of x and y are respectively

The correct option is A (1,1)Given, A=[1xx24y],B=[−3110]adj(A)=[4y−x2−x1]T=[4y−x−x21]But given, adj(A)+B=[1001] ⇒[4y−3−x+1−x2+11]=[1001] ⇒−x+1=0,−x2+1=0,4y−3=1⇒x=1,y=1

If $A = [\begin{matrix} 1 & x x^{2} & 4 y \end{matrix}], B = [\begin{matrix} - 3 & 1 1 & 0 \end{matrix}]$ and $a d j (A) + B = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}],$ then the values of $x$ and $y$ are respectively