Question

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

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

From (i) $9(6)+3 y=66$
$\Rightarrow 3 y=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$