SSC CGL 19 Oct 2014 Shift 2 Paper

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Question : 127 of 200

Marks: +1, -0

If

x^2 + y^2

+ 1 = 2x, then the value of

x^3 + y^5

is

2
0
–1
1

Solution:

x^2 + y^2

+1 = 2x
⇒

x^2 + y^2

+1 – 2x = 0
⇒

x^2

– 2x + 1 +

y^2

= 0
⇒

(x – 1)^2

+

y^2

= 0
⇒ x – 1 = 0
⇒ x = 1 and y = 0
∴

x^3 + y^5

= 1 + 0 = 1

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