Question

Match List-I with List-II. Given: $9x+3y=66$ and $8x+2y=56$

Column I		Column II
A	$x^2-4$	P	18
B	$y^2+2$	Q	49
C	$x^2-y^2$	R	52
D	$x^2+y$	S	32
		T	20
		U	28

• A. I - P; II - R; III - T; IV - U
• B. I - T; II - Q; III - R; IV - U
• C. I - S; II - U; III - P; IV - Q
• D. I - S; II - P; III - T; IV - Q

Answer 1

Answer: (D)

Given:
$9x+3y=66$...(i)
$8x+2y=56$....(ii)
Multiply equations (i) with 2 and (ii) with 3 and subtract

From (i) $9(6)+3y=66$
$\Rightarrow 3y=66-54=12$
$\Rightarrow y=4$
$x^2-4=(6{)}^2-4=32$
$y^2+2=(4{)}^2+2=18$
$x^2-y^2=6^2-4^2=36-16=20$
$x^2+y=(6{)}^2+4=40$