If - x 1- y 2 - - - y 1- 8 0 - - - 2 0- -x 2 - then the values of x and y respectively are

Question 11
If x = a and y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are respectively:
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

Q. A line passing through the point of intersection of

x + y = 4

and

x - y = 2

makes an angle

{tan}^{- 1} (\frac{3}{4})

with the

x

-axis. It intersects the parabola

y^{2} = 4 (x - 3)

at points

(x_{1}, y_{1})

and

(x_{2}, y_{2})

respectively. Then,

| x_{1} - x_{2} |

is equal to

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If [x1y2] −[y180]= [20−x2], then the values of x and y respectively are

The correct option is B 5 and 3On comparing, we getx−y=2, y−8=−xOn solving both the equations, we get x=5 and y=3.

If $[\begin{matrix} x & 1 y & 2 \end{matrix}]$ $- [\begin{matrix} y & 1 8 & 0 \end{matrix}] =$ $[\begin{matrix} 2 & 0 - x & 2 \end{matrix}],$ then the values of $x$ and $y$ respectively are

The correct option is B $5$ and $3$
On comparing, we get
$x - y = 2,$ $y - 8 = - x$
On solving both the equations, we get
$x = 5$ and $y = 3$ .