Find the value of following if x = 1 and y = o.(i) 2x + 2y(ii) 2x2 +

1.	Find the value of following if x = 1 and y = o.(i) 2x + 2y(ii) 2x2 + y2 +1(iii) 2x2y + 2x2y2 +y2(iv) x2 + xy + 5
Answer» (i) In (2x + 2) put x = 1 and y= 0 2x + 2y = 2 x 1 + 2 x 0 = 2+ 0 = 2 (ii) In (2x² + y² + 1) put x = 1 and y = 0 2x² + y² + 1 = 2(1)² + (0)²+ 1 = 2 x 1 +0 + 1 = 2 + 1 = 3 (iii) In (2x²y+ 2x²y² +2) put x = 1 and y = 0 2x²y + 2x²y²+ y² = 2(1)² x 0 + 2(1)²x (0)²+ (0)² = 2 x 1 x 0 + 2 x 1 x 0 + 0 = 0 + 0 + 0 = 0 (iv) In (x² + xy + 5) put x = 1 and y = 0 x² + xy + 5 = (1)² + 1 x 0 +5 = 1 + 0 + 5 = 6

Find the value of following if x = 1 and y = o.(i) 2x + 2y(ii) 2x2 + y2 +1(iii) 2x2y + 2x2y2 +y2(iv) x2 + xy + 5

Answer»

(i) In (2x + 2) put x = 1 and y= 0
2x + 2y = 2 x 1 + 2 x 0
= 2+ 0 = 2

(ii) In (2x² + y² + 1) put x = 1 and y = 0
2x² + y² + 1 = 2(1)² + (0)²+ 1
= 2 x 1 +0 + 1
= 2 + 1 = 3

(iii) In (2x²y+ 2x²y² +2) put x = 1 and y = 0
2x²y + 2x²y²+ y² = 2(1)² x 0 + 2(1)²x (0)²+ (0)²
= 2 x 1 x 0 + 2 x 1 x 0 + 0
= 0 + 0 + 0 = 0

(iv) In (x² + xy + 5) put x = 1 and y = 0
x² + xy + 5 = (1)² + 1 x 0 +5
= 1 + 0 + 5 = 6