Question

The pair of equations x = a and y = b graphically represents lines which are a).parallel b)intersecting at (b, a) c)coincident d)intersecting at (a, b)

Answer 1

Answer:

OPTION D

Step-by-step explanation:

PLEASE REFER TO ATTACHMENT

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Answer 2

Answer:

$\small\red{OPTION\:D\:IS\:CORRECT}$

EXPLANATION:-

$\small\blue{GIVEN\:EQ.\:ARE}$

x=a and y=b

in standard form of x + 0.y - a=0 and 0.x + y - b=0

BY COMPARING WITH STANDARD FORM OF EQUATION,

$a_{1}x + b _{1}y + c_{1} = 0 \: and \: a_{2}x + b_{2}y + c_{2} = 0$

RATOS WE GET ARE:

$\frac{ a_{1}}{ a_{2}} = \frac{1}{0}$,$\frac{ b_{1}}{ b_{2} } = \frac{0}{1} \: and \: \frac{ c_{1}}{ c_{2} } = \frac{ - a}{ - b} = \frac{a}{b}$

$since \: \frac{ a_{1}}{ a_{2} } ≠ \frac{b_{1}}{b_{2}}$

GIVEN LINES ARE INTERSECTING LINES,

point of interaction is x=a and y=b .i.e. ,

(a,b)

THEREFORE IS IS PROVED.

$\huge\bigstar\purple{\boxed{ITZABHI}}\bigstar$

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